Local well-posedness of Prandtl equations for compressible flow in two space variables
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 321-346 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 47 |
| Issue number | 1 |
| Online published | 8 Jan 2015 |
| Publication status | Published - 2015 |
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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-Hörmander 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.
Research Area(s)
- Compressible Prandtl layer equations, Energy method, Local well-posedness, Monotonic velocity field, Nash-Moser-Hörmander iteration
Citation Format(s)
Local well-posedness of Prandtl equations for compressible flow in two space variables. / WANG, Ya-Guang; XIE, Feng; YANG, Tong.
In: SIAM Journal on Mathematical Analysis, Vol. 47, No. 1, 2015, p. 321-346.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
