On a nonlinear differential equation in a Banach space

Authors

  • Vasiliy Kachalov National Research University "MPEI"
  • Margarita Besova National Research University ``MPEI''

Keywords:

equations of Navier-Stokes type, Burgers equation, generalized solution, holomorphic dependence of a solution on a parameter.

Abstract

An Navier-Stokes type equation is considered for which a generalized solution is constructed in the form of a series in powers of a specially introduced parameter and its convergence is proved. An example of a mixed problem for the Burgers equation is given.

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Published

2021-03-30

Issue

Vol. 18 No. 1 (2021)

Section

Differential equations, dynamical systems and optimal control