Existence and uniqueness of the solution to the initial boundary value problem for one-dimensional isothermal equations of compressible viscous multicomponent media dynamics
Existence and uniqueness of the solution to the initial boundary value problem for one-dimensional isothermal equations of compressible viscous multicomponent media dynamics
Siberian Electronic Mathematical Reports, 22, 1, pp. 354-384 (2025)
Abstract:
An initial boundary value problem is considered for one-dimensional equations of the dynamics of compressible multicomponent media. A global theorem of existence and uniqueness of a strong solution is proved without restrictions on the structure of the viscosity matrix except for the standard properties of symmetry and positivity.
Keywords:
compressible viscous medium, multicomponent flows, viscosity matrix, boundary value problem, existence and uniqueness theorem.