On the isothermal compressible multi-component mixture flow: the local existence and maximal $L_p-L_q$ regularity of solutions
Analysis of PDEs
2019-09-16 v2
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 regularity of solutions.
Keywords
Cite
@article{arxiv.1903.09767,
title = {On the isothermal compressible multi-component mixture flow: the local existence and maximal $L_p-L_q$ regularity of solutions},
author = {Tomasz Piasecki and Yoshihiro Shibata and Ewelina Zatorska},
journal= {arXiv preprint arXiv:1903.09767},
year = {2019}
}