Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid

Authors

  • Александр Мамонтов Lavrentyev Institute of Hydrodynamics
  • Дмитрий Прокудин Novosibirsk State University

Keywords:

Galerkin approximations, non-stationary boundary value problem, one-dimensional flow, viscous compressible fluid, homogeneous multi-velocity multifluid

Abstract

We study an initial-boundary value problem which describes unsteady motions of a viscous compressible two-component fluid. We formulate an approximate problem via the Galerkin method, and prove its solvability.

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Published

2019-12-19

Issue

Vol. 17 (2020)

Section

Differential equations, dynamical systems and optimal control

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