Existence of entropy solutions to two-dimensional steady exothermically reacting Euler equations

DOI10.1016/S0252-9602(13)60123-XzbMath1313.35217arXiv1310.7151OpenAlexW2063120786MaRDI QIDQ467615

Yongqian Zhang, Changuo Xiao, Gui-Qiang G. Chen

Publication date: 3 November 2014

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7151

zbMATH Keywords

stabilityasymptotic behaviorcombustionRiemann problemsupersonic flowentropy solutionstwo-dimensionalsteady flowdetonation wavefractional-stepGlimm schemereacting Euler flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Existence of global BV solutions to a model of reacting Euler fluid with variable thermodynamics parameters ⋮ Global existence and stability of shock front solution to 1-D piston problem for exothermically reacting Euler equations ⋮ Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle ⋮ Two dimensional relativistic Euler equations in a convex duct ⋮ Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall ⋮ Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls ⋮ Detonation wave solution to a 1D piston problem for the Zeldovich-von Neumann-Döring combustion model ⋮ Sonic-supersonic solutions for a reactive transonic small disturbance model

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