existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium

DOI10.1051/M2AN:2000156zbMath0971.76077OpenAlexW1996839388MaRDI QIDQ4490024

G. M. Makhviladze, Cristelle Barillon, Vitaly A. Volpert

Publication date: 1 November 2001

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197489

zbMATH Keywords

classical solutionstar-shaped domaintwo-phase mediummultivalued solutionheat explosioncritical solutionreacting particlesconditions for existence of solutionselliptic-algebraic system of equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Gas dynamics (general theory) (76N15) Nonlinear elliptic equations (35J60)

Cites Work

• Equations of gas combustion: \(S\)-shaped bifurcation and mushrooms
• An integral formula for total gradient variation
• Nondegeneracy of blowup for semilinear heat equations
• Regularization of Nonlinear Differential-Algebraic Equations
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