Name
Title | ||
|---|---|---|
Local Well-Posedness of Prandtl Equations for Compressible Flow in Two Space Variables. |
Abstract | ||
|---|---|---|
In this paper, we consider the local well-posedness of the Prandtl boundary layer equations that describe the behavior of the boundary layer in the small viscosity limit of the compressible isentropic Navier-Stokes equations with nonslip boundary condition. Under the strictly monotonic assumption on the tangential velocity in the normal variable, we apply the Nash-Moser-Hormander iteration scheme and further develop the energy method introduced in [R. Alexander et al., J. Amer. Math. Soc., DOI:S0894-0347(2014)00813-4] to obtain the well-posedness of the equations locally in time. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/140978466 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
compressible Prandtl layer equations,monotonic velocity field,energy method,Nash-Moser-Hormander iteration,local well-posedness | Prandtl number,Blasius boundary layer,Monotonic function,Boundary value problem,Mathematical optimization,Mathematical analysis,Boundary layer thickness,Boundary layer,Compressible flow,Turbulent Prandtl number,Mathematics | Journal |
Volume | Issue | ISSN |
47 | 1 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yaguang Wang | 1 | 29 | 6.70 |
| Feng Xie | 2 | 2 | 2.22 |
| Tong Yang | 3 | 32 | 11.43 |