STRUCTURAL STABILITY OF COMBUSTION MODELS WITH COMPLEX CHEMISTRY

DOI10.1142/S0218202506001352zbMath1136.35361MaRDI QIDQ5484712

Arnaut Ducrot

Publication date: 21 August 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

travelling wavesunbounded domainsFredholm operatorselliptic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Degenerate elliptic equations (35J70) Combustion (80A25) Integro-differential operators (47G20) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
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• Elliptic pseudo-differential operators - an abstract theory
• Multi-dimensional travelling-wave solutions of a flame propagation model
• Travelling fronts in nonlinear diffusion equations
• Computation of the index of linear elliptic operators in unbounded cylinders
• Travelling fronts in cylinders
• EXISTENCE OF MULTIDIMENSIONAL TRAVELLING WAVES AND SYSTEMS OF WAVES
• Travelling waves for planar flames with complex chemistry reaction network
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• Qualitative properties of a nonlinear system for laminar flames without ignition temperature
• An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation
• Global bifurcation for quasilinear elliptic equations on \({\mathbb R}^N\)