The Generalized Riemann Problem for a Scalar Nonconvex Chapman–Jouguet Combustion Model

DOI10.1137/060672650zbMath1148.35045OpenAlexW1970718069MaRDI QIDQ5386229

Tong Zhang, Mei-na Sun, Wan-cheng Sheng

Publication date: 22 April 2008

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060672650

zbMATH Keywords

entropy conditionsdeflagrationgeneralized Riemann problemdetonationscalar nonconvex CJ combustion model

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Combustion (80A25) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hyperbolic equations on manifolds (58J45)

Related Items (9)

Detonation wave solutions to the scalar combustion models with a singular source term ⋮ ENTROPY SOLUTIONS OF A CHAPMAN–JOUGUET COMBUSTION MODEL ⋮ Analysis of the stability of the Riemann problem for a simplified model in magnetogasdynamics ⋮ Generalized Riemann problem for gas dynamic combustion ⋮ The generalized Riemann problem for the Aw-Rascle model with phase transitions ⋮ Detonation wave solution to a 1D piston problem for the Zeldovich-von Neumann-Döring combustion model ⋮ The generalized Riemann problem for first order quasilinear hyperbolic systems of conservation laws. II ⋮ The perturbation on initial binding energy for a Majda-CJ combustion model ⋮ Perturbed Riemann problem for a scalar Chapman-Jouguet combustion model

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