: Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids

Authors

  • Alexander Mamontov Lavrentyev Institute of Hydrodynamics SB RAS, Altai State University
  • Dmitriy Prokudin Lavrentyev Institute of Hydrodynamics SB RAS, Altai State University

Keywords:

multicomponent viscous perfect gas, existence theorem, Galerkin method.

Abstract

The problem of one-dimensional unsteady motion of a heat-conducting viscous compressible multifluid (mixture of perfect gases) on a bounded interval is considered, and the viscosity matrix is not assumed to be diagonal. The first step is made in proving the solvability of this problem: the local solvability of the approximate problem (for the Galerkin approximations) is shown.

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Published

2021-09-06

Issue

Vol. 18 No. 2 (2021)

Section

Differential equations, dynamical systems and optimal control