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 , we derive the estimates for the nonlinear equations and prove the local-in-time existence and maximal Lp - Lq regularity of solutions.
|Publication status||Published - 2019 Mar 23|
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