The compressible Navier-Stokes equations for viscous ows with general large continuous initial data, as well as with large discontinuous initial data, are studied. Both a homogeneous free boundary problem with zero outer pressure and a ÿxed boundary problem are considered. For the large initial data
On global solutions of Cauchy problems for compressible Navier–Stokes equations
✍ Scribed by Mishio Kawashita
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 189 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The global in time existence of regular solutions to the compressible Navier-Stokes equations in the whole space is obtained. The solutions are close to nontrivial equilibrium solutions. Moreover, the result is sharp in the Lp-framework, the velocity of the uid belongs to W 2; 1 r and the initial de
In this paper, we consider the existence of global smooth solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity and free boundaries. The initial density q 0 ∈ W 1,2n is bounded below away from zero and the initial velocity u 0 ∈ L 2n . The viscosity coeffic