Name
Title | ||
|---|---|---|
Global Behavior of Spherically Symmetric Navier-Stokes Equations with Degenerate Viscosity Coefficients |
Abstract | ||
|---|---|---|
In this paper, we study a free boundary problem for compressible spherically symmetric Navier-Stokes equations with a gravitational force and degenerate viscosity coefficients. Under certain assumptions that are imposed on the initial data, we obtain the global existence and uniqueness of the weak solution and give some uniform bounds (with respect to time) of the solution. Moreover, we obtain some stabilization rate estimates in L-infinity-norm and weighted H-1-norm of the solution. The results show that such a system is stable under small perturbations and could be applied to the astrophysics. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/070681703 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
compressible Navier-Stokes equations,density-dependent viscosity,free boundary,asymptotic behavior | Degenerate energy levels,Uniqueness,Mathematical analysis,Weak solution,Viscosity,Free boundary problem,Asymptotic analysis,Mathematics,Perturbation (astronomy),Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
40 | 3 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mingjun Wei | 1 | 3 | 2.16 |
| Ting Zhang | 2 | 5 | 2.79 |
| Daoyuan Fang | 3 | 1 | 2.12 |