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Some exact pseudo-plane solutions of the first kind for the Navier-Stokes equations

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Abstract

We study pseudo-plane flows of the first kind generated by a stream function ψ=f(x, z, t) +g(y, z, t) which are generalized Beltrami flows in every plane parallel to thexy-plane. This problem is solved completely resulting in several new families of exact solutions for the Navier-Stokes equations.

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Authors and Affiliations

  1. Dip. di Metodi e Modelli Matematici per le Scienze Applicate, Università La Sapienza, Via Scarpa 10, 00161, Roma, Italy

    Giuseppe Saccomandi

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  1. Giuseppe Saccomandi
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Saccomandi, G. Some exact pseudo-plane solutions of the first kind for the Navier-Stokes equations. Z. angew. Math. Phys. 45, 978–985 (1994). https://doi.org/10.1007/BF00952088

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  • DOI: https://doi.org/10.1007/BF00952088

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