Two-dimensional travelling wave solutions of a system modelling near equidiffusional flames

DOI10.1016/J.NA.2005.01.093zbMath1330.35203OpenAlexW2084240603MaRDI QIDQ1779844

Martine Marion, Arnaut Ducrot

Publication date: 1 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.093

zbMATH Keywords

travelling wavescombustionunbounded domainselliptic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Combustion (80A25) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers

Cites Work

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• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
• Multi-dimensional travelling-wave solutions of a flame propagation model
• Asymptotic analysis of a parabolic system arising in combustion theory
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• EXISTENCE OF MULTIDIMENSIONAL TRAVELLING WAVES AND SYSTEMS OF WAVES
• 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
• Nonlinear Schrödinger evolution equations

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