The asymptotic stability of a traveling wave solution arising from a combustion model

DOI10.1016/0362-546X(94)90031-0zbMath0802.35071MaRDI QIDQ4291614

Jean-Michel Roquejoffre, David H. Terman

Publication date: 16 June 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilitysub- and supersolutionstravelling wave solutionscombustion model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Combustion (80A25)

Related Items

Travelling fronts in cylinders and their stability, On the existence of premixed laminar flames, Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders, Parabolic systems in unbounded domains. I: Existence and dynamics, Existence, uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks., Qualitative theory for a model of laminar flames with arbitrary nonnegative initial data, Travelling wave solutions of integro-differential equations of one-dimensional neuronal networks, Bifurcations of travelling waves in the thermo-diffusive model for flame propagation

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Laminar flame theory and the steady, linear burning of a monopropellant
• Geometric theory of semilinear parabolic equations
• On the stability of waves of nonlinear parabolic systems
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Stability of Planar Wave Solutions to a Combustion Model
• Nearly real fronts in a Ginzburg–Landau equation
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
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