The Transition from Zeldovich--von Neumann--Doring to Chapman--Jouguet Theories for a Nonconvex Scalar Combustion Model

DOI10.1137/S0036141001386751zbMath1035.35067MaRDI QIDQ4429836

Jiequan Li, Peng Zhang

Publication date: 30 September 2003

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

zbMATH Keywords

self-similar solutionsdeflagrationdetonationRiemann initial datareaction entropy conditionshock entropy conditions

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) Combustion (80A25)

Related Items (10)

Detonation wave solutions to the scalar combustion models with a singular source term ⋮ ENTROPY SOLUTIONS OF A CHAPMAN–JOUGUET COMBUSTION MODEL ⋮ The ignition problem for a scalar nonconvex combustion model ⋮ Riemann problem for a simplest scalar nonconvex ZND combustion model with viscosity ⋮ Instability of unburnt gas for a scalar nonconvex combustion model ⋮ 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 ⋮ 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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