Cauchy problem for viscous shallow water equations with a term of capillarity
| dc.creator | Haspot, Boris | |
| dc.date | 2008-03-13 | |
| dc.date.accessioned | 2026-07-07T09:26:36Z | |
| dc.date.available | 2026-07-07T09:26:36Z | |
| dc.description | In this article, we consider the compressible Navier-Stokes equation with density dependent viscosity coefficients and a term of capillarity introduced by Coquel et al in \cite{5CR}. This model includes at the same time the barotropic Navier-Stokes equations with variable viscosity coefficients, shallow-water system and the model of Rohde. We first study the well-posedness of the model in critical regularity spaces with respect to the scaling of the associated equations. In a functional setting as close as possibleto the physical energy spaces, we prove global existence of solutions close to a stable equilibrium, and local in time existence for solutions with general initial data. Uniqueness is also obtained. | |
| dc.identifier | https://arxiv.org/abs/0803.1939 | |
| dc.identifier | http://arxiv.org/abs/0803.1939 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156809 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Cauchy problem for viscous shallow water equations with a term of capillarity | |
| dc.type | text |