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

Abstract

There are few approaches to the solution of a system of nonlinear differential equations in partial derivatives, for example $\cite{NK87} - \cite{EK98}$. 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" $\cite{TT12}$. The authors expect that it can be successfully applied to other systems of nonlinear differential equations in partial derivatives.

3 pages

References in corpus (2)

• Solution of the Cauchy problem for the Navier - Stokes and Euler equations
• Research of convergence of the iterative method for solution of the Cauchy problem for the Navier - Stokes equations based on estimated formula