Prandtl-Meyer reflection configurations, transonic shocks, and free boundary problems
DOI10.1090/memo/1507MaRDI QIDQ6619635
Gui-Qiang G. Chen, Mikhail Feldman, Myoungjean Bae
Publication date: 16 October 2024
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
monotonicitystabilityregularityexistenceglobal solutionsupersonic flowuniform estimatestransonic flowadmissible solutionsfree boundarylong-time asymptoticsunsteady flowsteady flowself-similartransonic shocknonuniquenesssonic boundarysolid wedgestrong shock solutionweak shock solutiondetachment angleelliptic-hyperbolic mixed typePrandtl 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) 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) Initial value problems for second-order hyperbolic equations (35L15) 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) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Pattern formations in context of PDEs (35B36) Boundary value problems for PDEs of mixed type (35M12)
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