On the isothermal compressible multi-component mixture flow: The local existence and maximal lp - lq regularity of solutions

T. Piasecki, Y. Shibata, E. Zatorska

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the initial-boundary value problem for the system of equations describing the flow of compressible isothermal mixture of arbitrary large number of components. The system consists of the compressible Navier-Stokes equations and a subsystem of diffusion equations for the species. The subsystems are coupled by the form of the pressure and the strong cross-diffusion effects in the diffusion fluxes of the species. Assuming the existence of solutions to the symmetrized and linearized equations, proven in [35], we derive the estimates for the nonlinear equations and prove the local-in-time existence and maximal Lp - Lq regularity of solutions.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2019 Mar 23

ASJC Scopus subject areas

  • General

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