Piasecki, T;
Shibata, Y;
Zatorska, E;
(2019)
On The Isothermal Compressible Multi-component Mixture Flow: The Local Existence And Maximal Lp − Lq Regularity Of Solutions.
Nonlinear Analysis, Theory, Methods and Applications
, 189
, Article 111571. 10.1016/j.na.2019.111571.
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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 [31], we derive the estimates for the nonlinear equations and prove the local-in-time existence and maximal Lp − Lq regularity of solutions.
| Type: | Article |
|---|---|
| Title: | On The Isothermal Compressible Multi-component Mixture Flow: The Local Existence And Maximal Lp − Lq Regularity Of Solutions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.na.2019.111571 |
| Publisher version: | https://doi.org/10.1016/j.na.2019.111571 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Multicomponent flow, Local well-posedness, Maximal regularity |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10081549 |
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