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DOI: https://doi.org/10.4213/tvp1769

Аннотация: Показано, что для широкого класса топологических пространств любая равномерно плотная последовательность случайных элементов, содержит подпоследовательность, которая допускает обычное п.н. представление Скорохода на интервале Лебега. Показано, что для широкого класса топологических пространств любая равномерно плотная последовательность случайных элементов, содержит подпоследовательность, которая допускает обычное п.н. представление Скорохода на интервале Лебега.

Ключевые слова: п.н. представление Скорохода, сходимость по распределению на неметрических топологических пространствах, теорема Прохорова.

Поступила в редакцию: 19.05.1994

Англоязычная версия:
Theory of Probability and its Applications, 1998, Volume 42, Issue 1, Pages 167–174
DOI: https://doi.org/10.1137/S0040585X97976052

Реферативные базы данных:

Образец цитирования: A. Jakubowski, “The almost sure Skorokhod representation for subsequences in nonmetric spaces”, Теория вероятн. и ее примен., 42:1 (1997), 209–216; Theory Probab. Appl., 42:1 (1998), 167–174

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https://www.mathnet.ru/rus/tvp/v42/i1/p209

Эта публикация цитируется в следующих статьяx:

1. Adam Jakubowski, “A Non-Skorohod Topology on the Skorohod Space”, Electron. J. Probab., 2:none (1997)  
2. Dawson D.A., Vaillancourt J., Wang H., “Stochastic partial differential equations for a class of interacting measure–valued diffusions”, Annales de l Institut Henri Poincare–Probabilites et Statistiques, 36:2 (2000), 167–180            
3. Castaing C., de Fitte P.R., “G–uniform scalar integrability and strong laws of large numbers for Pettis integrable functions with values in a separable locally convex space”, Journal of Theoretical Probability, 13:1 (2000), 93–134          
4. В. И. Богачев, А. В. Колесников, “Открытые отображения вероятностных мер и теорема представления Скорохода”, Теория вероятн. и ее примен., 46:1 (2001), 3–27      ; V. I. Bogachev, A. V. Kolesnikov, “Open Mappings of Probability Measures and the Skorokhod Representation Theorem”, Theory Probab. Appl., 46:1 (2002), 20–38    
5. Taras Banakh, Vladimir I. Bogachev, Alexander. V. Kolesnikov, North-Holland Mathematics Studies, 197, Functional Analysis and its Applications - Proceedings of the International Conference on Functional Analysis and its Applications Dedicated to the 110th Anniversary of Stefan Banach, May 28-31, 2002, Lviv, Ukraine, 2004, 23  
6. T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov, “Topological Spaces with Skorokhod Representation Property”, Ukr Math J, 57:9 (2005), 1371  
7. Teran Agraz P., “On Borel measurability and large deviations for fuzzy random variables”, Fuzzy Sets and Systems, 157:19 (2006), 2558–2568          
8. T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov, “k*-Metrizable spaces and their applications”, J Math Sci, 155:4 (2008), 475  
9. Ren Ya.-X., Song R., Wang H., “A Class of Stochastic Partial Differential Equations for Interacting Superprocesses on a Bounded Domain”, Osaka Journal of Mathematics, 46:2 (2009), 373–401      
10. Ondrejat M., “Stochastic nonlinear wave equations in local Sobolev spaces”, Electron J Probab, 15 (2010), 1041–1091          
11. Brzezniak Z., Ondrejat M., “Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds”, Comm Partial Differential Equations, 36:9 (2011), 1624–1653          
12. Bessaih H., Millet A., “Large Deviations and the Zero Viscosity Limit for 2D Stochastic Navier–Stokes Equations with Free Boundary”, SIAM J. Math. Anal., 44:3 (2012), 1861–1893        
13. Chen Zh.-Q., Wang H., Xiong J., “Interacting Superprocesses with Discontinuous Spatial Motion”, Forum Math., 24:6 (2012), 1183–1223          
14. Brzezniak Z., Motyl E., “Existence of a Martingale Solution of the Stochastic Navier–Stokes Equations in Unbounded 2D and 3D Domains”, J. Differ. Equ., 254:4 (2013), 1627–1685            
15. Berti P., Pratelli L., Rigo P., “A Skorohod Representation Theorem Without Separability”, Electron. Commun. Probab., 18 (2013)          
16. Motyl E., “Stochastic Navier–Stokes Equations Driven by Levy Noise in Unbounded 3D Domains”, Potential Anal., 38:3 (2013), 863–912          
17. Brzezniak Z., Ondrejat M., “Stochastic Geometric Wave Equations with Values in Compact Riemannian Homogeneous Spaces”, Ann. Probab., 41:3B (2013), 1938–1977          
18. C. Castaing, P. Raynaud de Fitte, Advances in Mathematical Economics, 17, Advances in Mathematical Economics Volume 17, 2013, 1  
19. Bouchemella N., de Fitte P.R., “Weak Solutions of Backward Stochastic Differential Equations with Continuous Generator”, Stoch. Process. Their Appl., 124:1 (2014), 927–960          
20. Glatt-Holtz N., Temam R., Wang Ch., “Martingale and Pathwise Solutions To the Stochastic Zakharov-Kuznetsov Equation With Multiplicative Noise”, Discrete Contin. Dyn. Syst.-Ser. B, 19:4 (2014), 1047–1085          
21. Motyl E., “Stochastic Hydrodynamic-Type Evolution Equations Driven By Levy Noise in 3D Unbounded Domains-Abstract Framework and Applications”, Stoch. Process. Their Appl., 124:6 (2014), 2052–2097          
22. Roeckner M., Zhu R., Zhu X., “Existence and Uniqueness of Solutions To Stochastic Functional Differential Equations in Infinite Dimensions”, Nonlinear Anal.-Theory Methods Appl., 125 (2015), 358–397          
23. Berti P., Pratelli L., Rigo P., “Gluing Lemmas and Skorohod Representations”, Electron. Commun. Probab., 20 (2015), 1–11        
24. Breit D., “Existence Theory For Stochastic Power Law Fluids”, J. Math. Fluid Mech., 17:2 (2015), 295–326          
25. Brzezniak Z., Ondrejat M., “Stochastic Geometric Wave Equations”, Stochastic Analysis: a Series of Lectures, Progress in Probability, 68, eds. Dalang R., Dozzi M., Flandoli F., Russo F., Birkhauser Verlag Ag, 2015, 157–188        
26. Jong Uhn Kim, “Measure valued solutions to the stochastic Euler equations in $\mathbb {R}^d$ R d”, Stoch PDE: Anal Comp, 3:4 (2015), 531  
27. Breit D., Feireisl E., Hofmanova M., “Incompressible Limit for Compressible Fluids with Stochastic Forcing”, Arch. Ration. Mech. Anal., 222:2 (2016), 895–926          
28. Breit D., Hofmanova M., “Stochastic Navier–Stokes equations for compressible fluids”, Indiana Univ. Math. J., 65:4 (2016), 1183–1250            
29. Balan R., Jakubowski A., Louhichi S., “Functional Convergence of Linear Processes with Heavy-Tailed Innovations”, J. Theor. Probab., 29:2 (2016), 491–526          
30. Hofmanova M., “Scalar Conservation Laws With Rough Flux and Stochastic Forcing”, Stoch. Partial Differ. Equ.-Anal. Comput., 4:3 (2016), 635–690        
31. Breit D., Feireisl E., Hofmanova M., “Compressible Fluids Driven by Stochastic Forcing: The Relative Energy Inequality and Applications”, Commun. Math. Phys., 350:2 (2017), 443–473          
32. Smith S.A., “Random Perturbations of Viscous, Compressible Fluids: Global Existence of Weak Solutions”, SIAM J. Math. Anal., 49:6 (2017), 4521–4578          
33. Chau H.N., Rasonyi M., “Skorohod'S Representation Theorem and Optimal Strategies For Markets With Frictions”, SIAM J. Control Optim., 55:6 (2017), 3592–3608          
34. Mensah P.R., “Existence of Martingale Solutions and the Incompressible Limit For Stochastic Compressible Flows on the Whole Space”, Ann. Mat. Pura Appl., 196:6 (2017), 2105–2133          
35. Brzeniak Z., Motyl E., Ondrejat M., “Invariant Measure For the Stochastic Navier–Stokes Equations in Unbounded 2D Domains”, Ann. Probab., 45:5 (2017), 3145–3201        
36. Yang H., Chen G., “Martingale Solutions of Stochastic Fractional Nonlinear Schrodinger Equation on a Bounded Interval”, Appl. Anal., 96:15 (2017), 2553–2574          
37. Hofmanova M., Roeger M., von Renesse M., “Weak Solutions For a Stochastic Mean Curvature Flow of Two-Dimensional Graphs”, Probab. Theory Relat. Field, 168:1-2 (2017), 373–408          
38. Brzezniak Z., Ferrario B., “A Note on Stochastic Navier–Stokes Equations With Not Regular Multiplicative Noise”, Stoch. Partial Differ. Equ.-Anal. Comput., 5:1 (2017), 53–80        
39. Dominic Breit, Existence Theory for Generalized Newtonian Fluids, 2017, 173  
40. Existence Theory for Generalized Newtonian Fluids, 2017, 255  
41. Jakubowski A., “New Characterizations of the S Topology on the Skorokhod Space”, Electron. Commun. Probab., 23 (2018), 2          
42. Fischer J., Gruen G., “Existence of Positive Solutions to Stochastic Thin-Film Equations”, SIAM J. Math. Anal., 50:1 (2018), 411–455          
43. Punshon-Smith S., Smith S., “On the Boltzmann Equation With Stochastic Kinetic Transport: Global Existence of Renormalized Martingale Solutions”, Arch. Ration. Mech. Anal., 229:2 (2018), 627–708          
44. Smith S.A., Trivisa K., “The Stochastic Navier–Stokes Equations For Heat-Conducting, Compressible Fluids: Global Existence of Weak Solutions”, J. Evol. Equ., 18:2 (2018), 411–465        
45. Ferrario B., Zanella M., “Stochastic Vorticity Equation in R-2 With Not Regular Noise”, NoDea-Nonlinear Differ. Equ. Appl., 25:6 (2018), 49        
46. Deugoue G., Medjo T.T., “The Stochastic 3D Globally Modified Navier-Stokes Equations: Existence, Uniqueness and Asymptotic Behavior”, Commun. Pure Appl. Anal, 17:6 (2018), 2593–2621          
47. Zdzisław Brzeźniak, Gaurav Dhariwal, Javed Hussain, Mauro Mariani, Springer Proceedings in Mathematics & Statistics, 229, Stochastic Partial Differential Equations and Related Fields, 2018, 133  
48. Tan Zh., Wang H., Wang Yu., “Time-Splitting Methods to Solve the Hall-Mhd Systems With Levy Noises”, Kinet. Relat. Mod., 12:1 (2019), 243–267      
49. Brzezniak Z., Manna U., Panda A.A., “Martingale Solutions of Nematic Liquid Crystals Driven By Pure Jump Noise in the Marcus Canonical Form”, J. Differ. Equ., 266:10 (2019), 6204–6283          
50. Chen R.M., Wang D., Wang H., “Martingale Solutions For the Three-Dimensional Stochastic Nonhomogeneous Incompressible Navier-Stokes Equations Driven By Levy Processes”, J. Funct. Anal., 276:7 (2019), 2007–2051          
51. Brzezniak Z., Ferrario B., “Stationary Solutions For Stochastic Damped Navier-Stokes Equations in R-D”, Indiana Univ. Math. J., 68:1 (2019), 105–138        
52. Idriss A.Z., Razafimandimby P.A., “Stochastic Generalized Magnetohydrodynamics Equations With Not Regular Multiplicative Noise: Well-Posedness and Invariant Measure”, J. Math. Anal. Appl., 474:2 (2019), 1404–1440          
53. Dunst T., Majee A.K., Prohl A., Vallet G., “On Stochastic Optimal Control in Ferromagnetism”, Arch. Ration. Mech. Anal., 233:3 (2019), 1383–1440    
54. Hambly B., Sojmark A., “An Spde Model For Systemic Risk With Endogenous Contagion”, Financ. Stoch., 23:3 (2019), 535–594    
55. Jensen M., Majee A.K., Prohl A., Schellnegger Ch., “Dynamic Programming For Finite Ensembles of Nanomagnetic Particles”, J. Sci. Comput., 80:1 (2019), 351–375    
56. Brzezniak Z., Motyl E., “Fractionally Dissipative Stochastic Quasi-Geostrophic Type Equations on R-D”, SIAM J. Math. Anal., 51:3 (2019), 2306–2358    
57. Tateishi H., “The Skorokhod Representation Theorem For Young Measures”, Trans. Am. Math. Soc., 372:9 (2019), 6589–6602    
58. Manna U., Mukherjee D., “Optimal Relaxed Control of Stochastic Hereditary Evolution Equations With Levy Noise”, ESAIM-Control OPtim. Calc. Var., 25 (2019), UNSP 61    
59. Deugoue G., Ngana A.N., Medjo T.T., “Martingale Solutions to Stochastic Nonlocal Cahn-Hilliard-Navier-Stokes Equations With Multiplicative Noise of Jump Type”, Physica D, 398 (2019), 23–68    
60. Breit D., Feireisl E., Hofmanova M., Maslowski B., “Stationary Solutions to the Compressible Navier-Stokes System Driven By Stochastic Forces”, Probab. Theory Relat. Field, 174:3-4 (2019), 981–1032    
61. Brzezniak Z., Hornung F., Weis L., “Martingale Solutions For the Stochastic Nonlinear Schrodinger Equation in the Energy Space”, Probab. Theory Relat. Field, 174:3-4 (2019), 1273–1338    
62. Dhariwal G., Juengel A., Zamponi N., “Global Martingale Solutions For a Stochastic Population Cross-Diffusion System”, Stoch. Process. Their Appl., 129:10 (2019), 3792–3820    
63. Breit D., Gmeineder F., “Electro-Rheological Fluids Under Random Influences: Martingale and Strong Solutions”, Stoch. Partial Differ. Equ.-Anal. Comput., 7:4 (2019), 699–745    
64. Ali Z.I., “Stochastic Generalized Magnetohydrodynamics Equations: Well-Posedness”, Appl. Anal., 98:13 (2019), 2464–2485    
65. Bendahmane M., Karlsen K.H., “Stochastically Forced Cardiac Bidomain Model”, Stoch. Process. Their Appl., 129:12 (2019), 5312–5363    
66. Brzezniak Z., Manna U., “Weak Solutions of a Stochastic Landau-Lifshitz-Gilbert Equation Driven By Pure Jump Noise”, Commun. Math. Phys., 371:3 (2019), 1071–1129    
67. Liu Ch., Neufeld A., “Compactness Criterion For Semimartingale Laws and Semimartingale Optimal Transport”, Trans. Am. Math. Soc., 372:1 (2019), 187–231    
68. Х. Н. Чоу, М. Рашоньи, “Поведение инвесторов в конических моделях рынков”, Теория вероятн. и ее примен., 65:2 (2020), 420–430    ; H. N. Chau, M. Rásonyi, “Behavioral investors in conic market models”, Theory Probab. Appl., 65:2 (2020), 330–337    
69. Gess B., Gnann V M., “The Stochastic Thin-Film Equation: Existence of Nonnegative Martingale Solutions”, Stoch. Process. Their Appl., 130:12 (2020), 7260–7302    
70. Brzezniak Z., Goldys B., Le K.N., “Existence of a Unique Solution and Invariant Measures For the Stochastic Landau-Lifshitz-Bloch Equation”, J. Differ. Equ., 269:11 (2020), 9471–9507    
71. Qiu Zh., Tang Ya., Wang H., “Asymptotic Behavior For the 1D Stochastic Landau-Lifshitz-Bloch Equation”, J. Math. Phys., 61:10 (2020), 101506    
72. Donatelli D., Mensah P.R., “The Combined Incompressible Quasineutral Limit of the Stochastic Navier-Stokes-Poisson System”, SIAM J. Math. Anal., 52:5 (2020), 5090–5120    
73. Brzezniak Z., Dhariwal G., “Stochastic Tamed Navier-Stokes Equations on R-3: the Existence and the Uniqueness of Solutions and the Existence of An Invariant Measure”, J. Math. Fluid Mech., 22:2 (2020), 23    
74. Bessaih H., Ferrario B., “Invariant Measures For Stochastic Damped 2D Euler Equations”, Commun. Math. Phys., 377:1 (2020), 531–549    
75. Mensah P.R., “A Multi-Scale Limit of a Randomly Forced Rotating 3-D Compressible Fluid”, J. Math. Fluid Mech., 22:3 (2020), 30    
76. Kiiski M., “The Riesz Representation Theorem and Weak Compactness of Semimartingales”, Financ. Stoch., 24:4 (2020), 827–870    
77. Hornung F., “The Stochastic Nonlinear Schrodinger Equation in Unbounded Domains and Non-Compact Manifolds”, NoDea-Nonlinear Differ. Equ. Appl., 27:4 (2020), 40    
78. Majee A.K., “Stochastic Optimal Control of a Evolutionary P-Laplace Equation With Multiplicative Levy Noise”, ESAIM-Control OPtim. Calc. Var., 26 (2020), 100    
79. Barashkov N., Gubinelli M., “A Variational Method For Phi(4)(3)”, Duke Math. J., 169:17 (2020), 3339–3415    
80. Breit D., Feireisl E., Hofmanova M., “Markov Selection For the Stochastic Compressible Navier-Stokes System”, Ann. Appl. Probab., 30:6 (2020), 2547–2572    
81. Donatelli D., Marcati P., Mensah P.R., “Dissipative Martingale Solutions of the Stochastically Forced Navier-Stokes-Poisson System on Domains Without Boundary”, Nonlinear Anal.-Real World Appl., 57 (2021), 103201    
82. Holden H., Karlsen K.H., Pang P.H.C., “The Hunter-Saxton Equation With Noise”, J. Differ. Equ., 270 (2021), 725–786    
83. Dabrock N., Hofmanova M., Roger M., “Existence of Martingale Solutions and Large-Time Behavior For a Stochastic Mean Curvature Flow of Graphs”, Probab. Theory Relat. Field, 179:1-2 (2021), 407–449    
84. Brzezniak Z., Dhariwal G., Quoc Thong Le Gia, “Stochastic Navier-Stokes Equations on a Thin Spherical Domain”, Appl. Math. Optim., 84:2 (2021), 1971–2035    
85. Manna U., Mukherjee D., “Weak Solutions and Invariant Measures of Stochastic Oldroyd-B Type Model Driven By Jump Noise”, J. Differ. Equ., 272 (2021), 760–818    
86. Wang H., “Low Mach Number Limit of Solutions to the Stochastic Compressible Magnetohydrodynamic Equations”, J. Dyn. Differ. Equ., 2021    
87. Wang H., “Optimal Controls For the Stochastic Compressible Navier-Stokes Equations”, SIAM J. Control Optim., 59:5 (2021), 3661–3682    
88. Medjo T.T., Zhao C., “Martingale Solutions to a Stochastic Smectic-a Liquid Crystal Model With Multiplicative Noise of Jump Type”, Stoch. Dyn., 21:08 (2021), 2150046    
89. Breit D., Feireisl E., Hofmanova M., “Stationary Solutions in Thermodynamics of Stochastically Forced Fluids”, Math. Ann., 2021    
90. Dirr N., Grillmeier H., Gruen G., “On Stochastic Porous-Medium Equations With Critical-Growth Conservative Multiplicative Noise”, Discret. Contin. Dyn. Syst., 41:6 (2021), 2829–2871    
91. Qiu Zh., Wang Y., “Martingale Solution For Stochastic Active Liquid Crystal System”, Discret. Contin. Dyn. Syst., 41:5 (2021), 2227–2268    
92. Feireisl E., Petcu M., “A Diffuse Interface Model of a Two-Phase Flow With Thermal Fluctuations”, Appl. Math. Optim., 83:1 (2021), 531–563    
93. Brzezniak Z., Dhariwal G., “Stochastic Constrained Navier-Stokes Equations on T-2”, J. Differ. Equ., 285 (2021), 128–174    
94. Dhariwal G., Huber F., Juengel A., Kuehn Ch., Neamtu A., “Global Martingale Solutions For Quasilinear Spdes Via the Boundedness-By-Entropy Method”, Ann. Inst. Henri Poincare-Probab. Stat., 57:1 (2021), 577–602    
95. Chen Y., Duan J., Gao H., “Global Well-Posedness of the Stochastic Camassa-Holm Equation”, Commun. Math. Sci., 19:3 (2021), 607–627  
96. Dareiotis K., Gess B., Gnann V M., Gruen G., “Non-Negative Martingale Solutions to the Stochastic Thin-Film Equation With Nonlinear Gradient Noise”, Arch. Ration. Mech. Anal., 242:1 (2021), 179–234    
97. Breit D., Moyo T.C., “Dissipative Solutions to the Stochastic Euler Equations”, J. Math. Fluid Mech., 23:3 (2021), 80    
98. Siyu Liang, Ping Zhang, Rongchan Zhu, “Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity”, Journal of Differential Equations, 275 (2021), 473  
99. Pratelli L., Rigo P., “A Strong Version of the Skorohod Representation Theorem”, J. Theor. Probab., 2022    
100. Droniou J., Goldys B., Le K.-N., “Design and Convergence Analysis of Numerical Methods For Stochastic Evolution Equations With Leray-Lions Operator”, IMA J. Numer. Anal., 42:2 (2022), draa105, 1143–1179    
101. Brzezniak Z., Hornung F., Weis L., “Uniqueness of Martingale Solutions For the Stochastic Nonlinear Schrodinger Equation on 3D Compact Manifolds”, Stoch. Partial Differ. Equ.-Anal. Comput., 2022    
102. Yong Chen, Xiaoxiao Li, “On the stochastic two-component Camassa-Holm system driven by pure jump noise”, Journal of Differential Equations, 339 (2022), 476  
103. Elżbieta Motyl, “Stochastic magneto-hydrodynamic equations (MHD): Invariant measures in 2D Poincaré domains”, Journal of Mathematical Analysis and Applications, 514:2 (2022), 126317  
104. Eduard Feireisl, Mária Lukáčová-Medvid'ová, Bangwei She, Yuhuan Yuan, “Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method”, Math. Models Methods Appl. Sci., 32:14 (2022), 2887  
105. Eduard Feireisl, Martina Hofmanová, “Randomness in Compressible Fluid Flows Past an Obstacle”, J Stat Phys, 186:3 (2022)  
106. Pavel Ludvík, Václav Mácha, “Stochastic Forcing in Hydrodynamic Models with Non-local Interactions”, J Theor Probab, 35:4 (2022), 2806  
107. Zhaoyang Qiu, “On the existence of weak martingale solution for stochastic non-homogeneous penalised nematic liquid crystal system”, CPAA, 21:12 (2022), 4089  
108. Chengfeng Sun, Hongjun Gao, Hui Liu, Jie Zhang, “Martingale Solutions of the Stochastic 2D Primitive Equations with Anisotropic Viscosity”, ESAIM: PS, 26 (2022), 243  
109. Martina Hofmanová, Ujjwal Koley, Utsab Sarkar, “Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits”, Communications in Partial Differential Equations, 47:9 (2022), 1907  
110. Günther Grün, Lorenz Klein, “Zero-contact angle solutions to stochastic thin-film equations”, J. Evol. Equ., 22:3 (2022)  
111. Dominic Breit, Eduard Feireisl, Martina Hofmanová, Ewelina Zatorska, “Compressible Navier–Stokes System with Transport Noise”, SIAM J. Math. Anal., 54:4 (2022), 4465  
112. Abhishek Chaudhary, Ujjwal Koley, “On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow”, J. Math. Fluid Mech., 24:3 (2022)  
113. Abhishek Chaudhary, “Convergence of a spectral method for the stochastic incompressible Euler equations”, ESAIM: M2AN, 56:6 (2022), 1993  
114. Helge Holden, Kenneth H. Karlsen, Peter H. C. Pang, “Global well-posedness of the viscous Camassa–Holm equation with gradient noise”, DCDS, 43:2 (2023), 568  
115. Thamsanqa Castern Moyo, “Dissipative solutions and Markov selection to the complete stochastic Euler system”, Journal of Differential Equations, 365 (2023), 408  
116. Aristide Ndongmo Ngana, Gabriel Deugoué, Ttheodore Tachim Medjo, “Weak solution of a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes systems with shear-dependent viscosity”, Stochastics, 95:4 (2023), 521  
117. L'ubomír Baňas, Martin Ondreját, “Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow”, ESAIM: M2AN, 57:2 (2023), 785  
118. Zdzisław Brzeźniak, Gabriel Deugoué, Paul André Razafimandimby, Springer Proceedings in Mathematics & Statistics, 377, Quantum and Stochastic Mathematical Physics, 2023, 269  
119. Elżbieta Motyl, “Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on R3”, Journal of Differential Equations, 362 (2023), 514  
120. Nikolay Barashkov, Massimiliano Gubinelli, “On the variational method for Euclidean quantum fields in infinite volume”, Prob. Math. Phys., 4:4 (2023), 761  
121. Ananta K. Majee, “Stochastic Optimal Control of a Doubly Nonlinear PDE Driven by Multiplicative Lévy Noise”, Appl Math Optim, 87:1 (2023)  
122. Kenneth Karlsen, Michael Kunzinger, Darko Mitrovic, “A dynamic capillarity equation with stochastic forcing on manifolds: A singular limit problem”, Trans. Amer. Math. Soc., 2023  
123. M. Bendahmane, H. Nzeti, J. Tagoudjeu, M. Zagour, “Stochastic reaction–diffusion system modeling predator–prey interactions with prey-taxis and noises”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 33:7 (2023)  
124. Adam Jakubowski, “Probability on Submetric Spaces”, Annales Mathematicae Silesianae, 37:2 (2023), 138  
125. Miriam Alonso de la Fuente, Pedro Terán, “Convergence theorems for random elements in convex combination spaces”, Fuzzy Sets and Systems, 458 (2023), 69  
126. Abhishek Chaudhary, Ujjwal Koley, “A convergent finite volume scheme for the stochastic barotropic compressible Euler equations”, ESAIM: M2AN, 57:6 (2023), 3403  
127. Bingguang Chen, “Moderate deviation principle for the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity”, Journal of Mathematical Analysis and Applications, 522:2 (2023), 126979  
128. Dan Crisan, Darryl D. Holm, Oana Lang, Prince Romeo Mensah, Wei Pan, “Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model”, Stoch. Dyn., 23:05 (2023)  
129. Shang Wu, Zhiming Liu, Jianhua Huang, “Invariant measure of stochastic Boussinesq equation with zero viscosity in Banach space”, Dynamical Systems, 38:1 (2023), 1  
130. Yi-xuan Wang, “Incompressible Limit of the Compressible Q-tensor System of Liquid Crystals”, Acta Math. Appl. Sin. Engl. Ser., 39:1 (2023), 179  
131. Huaqiao Wang, “Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153:1 (2023), 19  
132. Siyu Liang, “On white noise solutions of mSQG equations on R2”, Journal of Mathematical Analysis and Applications, 519:2 (2023), 126830  
133. Eduard Feireisl, Mária Lukáčová-Medviďová, “Convergence of a stochastic collocation finite volume method for the compressible Navier–Stokes system”, Ann. Appl. Probab., 33:6A (2023)  
134. Nikolai V. Chemetov, Fernanda Cipriano, “Weak solution for stochastic Degasperis-Procesi equation”, Journal of Differential Equations, 382 (2024), 1  
135. Eduard Feireisl, Mária Lukáčová-Medvid'ová, “Statistical solutions for the Navier–Stokes–Fourier system”, Stoch PDE: Anal Comp, 12:2 (2024), 1021  
136. Benjamin Fehrman, “Stochastic homogenization with space-time ergodic divergence-free drift”, Ann. Probab., 52:1 (2024)  
137. Ananta K. Majee, “Stochastic Doubly Nonlinear PDE: Large Deviation Principles and Existence of Invariant Measure”, Potential Anal, 60:3 (2024), 1139  
138. Zdzisław Brzeźniak, Benedetta Ferrario, Margherita Zanella, “Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation”, Nonlinearity, 37:1 (2024), 015001  
139. Lei Zhang, Bin Liu, “Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes”, Journal of Functional Analysis, 286:7 (2024), 110337  
140. Max Sauerbrey, “Martingale solutions to the stochastic thin-film equation in two dimensions”, Ann. Inst. H. Poincaré Probab. Statist., 60:1 (2024)  
141. Zdzisław Brzeźniak, Ben Goldys, Liang Li, “3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy”, Journal of Differential Equations, 390 (2024), 58  
142. Dominic Breit, Prince Romeo Mensah, Thamsanqa Castern Moyo, “Martingale Solutions in Stochastic Fluid–Structure Interaction”, J Nonlinear Sci, 34:2 (2024)  
143. L. Galimberti, H. Holden, K.H. Karlsen, P.H.C. Pang, “Global existence of dissipative solutions to the Camassa–Holm equation with transport noise”, Journal of Differential Equations, 387 (2024), 1  
144. G. Cannizzaro, J. Kiedrowski, “Stationary stochastic Navier–Stokes on the plane at and above criticality”, Stoch PDE: Anal Comp, 12:1 (2024), 247  

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles