An effective approach to the solution of a system of nonlinear differential equations in partial derivatives

2012/10/23 by A. Tsionskiy, Tsionskiy, A., M. Tsionskiy +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35Q35 #Secondary 35Q74 #math.AP #msc:35Q35 #msc:35Q74

paper · pdf · doi:10.48550/arxiv.1210.6120

3 pages

arxiv created 2012/10/23 · arxiv updated 2012/10/24

Abstract

There are few approaches to the solution of a system of nonlinear differential equations in partial derivatives, for example \citeNK87 - \citeEK98. In our paper we propose an approach that was used to solve the Navier-Stokes equations in three dimensional space. This solution is described in details in article "Existence, uniqueness and smoothness of solution for 3D Navier-Stokes equations with any smooth initial velocity" \citeTT12. The authors expect that it can be successfully applied to other systems of nonlinear differential equations in partial derivatives.

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