A Multi-Fluid Compressible System as the Limit of Weak Solutions of the Isentropic Compressible Navier–Stokes Equations
✍ Scribed by D. Bresch; X. Huang
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 376 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0003-9527
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📜 SIMILAR VOLUMES
We prove some asymptotic results concerning global (weak) solutions of compressible isentropic Navier-Stokes equations. More precisely, we establish the convergence towards solutions of incompressible Euler equations, as the density becomes constant, the Mach number goes to 0 and the Reynolds number
In [A. Jüngel, Global weak solutions to compressible Navier-Stokes equations for quantum fluids, SIAM J. Math. Anal. 42 (2010) 1025-1045], Jüngel proved the global existence of the barotropic compressible quantum Navier-Stokes equations for when the viscosity constant is bigger than the scaled Planc
## Abstract We study the isentropic compressible Navier–Stokes equations with radially symmetric data in an annular domain. We first prove the global existence and regularity results on the radially symmetric __weak solutions__ with non‐negative bounded densities. Then we prove the global existence