Uniqueness and Stability for the Shock Reflection-Diffraction Problem for Potential Flow

zbMath1459.35288arXiv1904.00114MaRDI QIDQ4964244

Mikhail Feldman, Wei Xiang, Gui-Qiang G. Chen

Publication date: 25 February 2021

Full work available at URL: https://arxiv.org/abs/1904.00114

zbMATH Keywords

stabilityuniquenessconvexitypotential flow equationcompressible flownonlinear elliptic equationsadmissible solutionsfree boundaryregular reflectiontransonic shockMach reflection

Mathematics Subject Classification ID

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) Degenerate elliptic equations (35J70) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Self-similar solutions to PDEs (35C06) Pattern formations in context of PDEs (35B36) Boundary value problems for PDEs of mixed type (35M12)

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