Local Well-Posedness of Prandtl Equations for Compressible Flow in Two Space Variables

DOI10.1137/140978466zbMath1326.35290arXiv1407.3637OpenAlexW2086696778MaRDI QIDQ5264951

Tong Yang, Feng Xie, Ya-Guang Wang

Publication date: 21 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3637

zbMATH Keywords

energy methodlocal well-posednessNash-Moser-Hörmander iterationcompressible Prandtl layer equationsmonotonic tangential velocity field

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

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