Name
Abstract | ||
|---|---|---|
We prove the global existence of weak solutions for the two-dimensional compressible Navier-Stokes equations with a density-dependent viscosity coefficient (lambda = lambda(rho)). Initial data and solutions are small in energy-norm with nonnegative density having arbitrarily large sup-norm. Then, we show that if there is a vacuum domain at the initial time, then the vacuum domain will retain for all time and vanishes as time goes to infinity. At last, we show that the condition of mu = constant will induce some singularities of the system at vacuum. Thus, the viscosity coefficient mu plays a key role in the Navier-Stokes equations. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/090758878 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
compressible Navier-Stokes equations,density-dependent viscosity,global existence,vacuum,asymptotic behavior | Compressibility,Mathematical analysis,Infinity,Singularity,Viscosity,Mathematics,Arbitrarily large,Lambda | Journal |
Volume | Issue | ISSN |
41 | 6 | 0036-1410 |
Citations | PageRank | References |
1 | 0.77 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ting Zhang | 1 | 5 | 2.79 |
| Daoyuan Fang | 2 | 1 | 2.12 |