Multidimensional transonic shock waves and free boundary problems
DOI10.1142/S166436072230002XzbMath1490.35259arXiv2109.10242OpenAlexW4220862945MaRDI QIDQ5070204
Mikhail Feldman, Gui-Qiang G. Chen
Publication date: 11 April 2022
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.10242
geometric propertiesa priori estimatesconvexityEuler equationsdegree theoryiteration schemefree boundary problemsnonlinear PDEsnonlinear methodpotential flowmixed typefull Euler flowvon Neumann problemdegenerate ellipticitymixed elliptic-hyperbolic typemultidimensional transonic shocksPrandtl-Meyer problemshock reflection/diffractionsonic curves/surfacesvon Neumann detachment conjecture
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) General aerodynamics and subsonic flows (76G25) PDEs of mixed type (35M10) Degenerate elliptic equations (35J70) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Euler equations (35Q31) Pattern formations in context of PDEs (35B36) Boundary value problems for PDEs of mixed type (35M12)
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