Stability of travelling waves with interface conditions

DOI10.1016/0362-546X(92)90085-SzbMath0780.35115OpenAlexW1997041910MaRDI QIDQ4032231

Claude-Michel Brauner, Claudine Schmidt-Lainé, A. Lunard

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90085-s

zbMATH Keywords

combustiontravelling wave solutionprinciple of linearized stabilitytwo-phase free boundary problemdeflagration-detonation problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Combustion (80A25) Free boundary problems for PDEs (35R35)

Related Items

ASYMPTOTIC STABILITY OF TRAVELING WAVES IN SOLID-PROPELLANT COMBUSTION UNDER THERMAL RADIATION, Multi-dimensional stability analysis of planar travelling waves, Classical solutions to a multidimensional free boundary problem arising in combustion theory, Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem, The well-posedness of a free boundary problem for Burgers' equation, Stability of travelling wave solutions for coupled surface and grain boundary motion, Bifurcation of nonplanar travelling waves in a free boundary problem, Computation of bifurcated branches in a free boundary problem arising in combustion theory, A general approach to stability in free boundary problems

Cites Work

• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Hopf bifurcation for fully nonlinear equations in Banach space
• A unified approach to abstract linear nonautonomous parabolic equations
• Time analyticity for solutions of nonlinear abstract parabolic evolution equations
• Geometric theory of semilinear parabolic equations
• Weighted norms for the stability of traveling waves
• On the stability of waves of nonlinear parabolic systems
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Linearized Stability of Extreme Shock Profiles in Systems of Conservation Laws with Viscosity
• Nonlinear stability analysis of singular travelling waves in combustion— a one-phase problem
• The Acceleration of Fast Deflagration Waves
• Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem
• Bounded solutions of linear periodic abstract parabolic equations
• On a Class of Fully Nonlinear Parabolic Equations
• An elliptic-parabolic problem in combustion theory: Convergence to travelling waves
• The well-posedness of a free boundary problem for Burgers' equation
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