Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media
Keywords:
barotropic flow, viscous compressible multifluid, viscosity matrix, stabilization of solutionAbstract
The asymptotic behavior (as $t\rightarrow +\infty$) of the solution to the initial-boundary value problem is analyzed for the system of differential equations describing the barotropic dynamics of a viscous multifluid with a non-diagonal, symmetric and positive definite viscosity matrix, in the case of one spatial variable. New a priori estimates are obtained and stabilization of the solution to the initial-boundary value problem is proved.
Published
2024-01-28
Issue
Section
Differential equations, dynamical systems and optimal control