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Local Equilibrium of the Carleman Equation

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We consider the Cauchy problem for the one-dimensional Carleman equation with bounded energy and periodic initial data and obtain the local equilibrium conditions. We prove exponential stabilization to the equilibrium state. Bibliography: 10 titles. Illustrations: 3 figures.

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References

  1. E. V. Radkevich “On the large-time behavior of solutions to the Cauchy problem for a 2-dimensional discrete kinetic equation” [in Russian], Sovrem. Mat. Fundam. Naprav. 47, 108–139 (2013); English transl.: J. Math. Sci., New York 202, No. 5, 735–768 (2014).

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Authors and Affiliations

  1. Moscow State University, Moscow, 119991, Russia

    E. V. Radkevich

  2. Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, Moscow, 129337, Russia

    O. A. Vasil’eva & S. A. Dukhnovskii

Authors
  1. E. V. Radkevich
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  2. O. A. Vasil’eva
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  3. S. A. Dukhnovskii
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Correspondence to E. V. Radkevich.

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Dedicated to N. N. Uraltseva

Translated from Problemy Matematicheskogo Analiza 78, January 2015, pp. 165-190.

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Radkevich, E.V., Vasil’eva, O.A. & Dukhnovskii, S.A. Local Equilibrium of the Carleman Equation. J Math Sci 207, 296–323 (2015). https://doi.org/10.1007/s10958-015-2373-x

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  • DOI: https://doi.org/10.1007/s10958-015-2373-x

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