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arXiv · 1903.09767

On the isothermal compressible multi-component mixture flow: the local existence and maximal $L_p-L_q$ regularity of solutions

Tomasz Piasecki·Yoshihiro Shibata·Ewelina Zatorska
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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 $L_p-L_q$ regularity of solutions.

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Tomasz Piasecki, Yoshihiro Shibata, Ewelina Zatorska. 2019-03-23. On the isothermal compressible multi-component mixture flow: the local existence and maximal $L_p-L_q$ regularity of solutions. https://arxiv.org/abs/1903.09767

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