Local Structural Stability of a Multidimensional Centered Rarefaction Wave for the Three-Dimensional Steady Supersonic Euler Flow around a Sharp Corner

DOI10.1137/090777086zbMath1221.35051OpenAlexW1538526245MaRDI QIDQ2999870

Wang Zhan, Yin Huicheng

Publication date: 17 May 2011

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

Full work available at URL: http://epubs.siam.org/sima/resource/1/sjmaah/v42/i4/p1639_s1

zbMATH Keywords

Nash-Moser-Hörmander iterationcharacteristic boundarysymmetric positive systemsingular coordiante transformationsteady full Euler system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Euler equations (35Q31)

Related Items (6)

Global instability of multi-dimensional plane shocks for isothermal flow ⋮ Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle ⋮ Persistence of the Steady Normal Shock Structure for the Unsteady Potential Flow ⋮ Three-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstream ⋮ Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls ⋮ Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows

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