Bifurcation of nonplanar travelling waves in a free boundary problem

DOI10.1016/S0362-546X(99)00262-XzbMath0981.35102OpenAlexW2076763946MaRDI QIDQ5934269

Alessandra Lunardi, Claude-Michel Brauner

Publication date: 21 October 2001

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/s0362-546x(99)00262-x

zbMATH Keywords

instabilitybifurcationbranches of nonplanar travelling waves

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Combustion (80A25) Free boundary problems for PDEs (35R35)

Related Items (5)

An ignition-temperature model with two free interfaces in premixed flames ⋮ Stability of travelling waves in a multidimensional free boundary problem ⋮ Computation of bifurcated branches in a free boundary problem arising in combustion theory ⋮ Modeling and simulation of fingering pattern formation in a combustion model ⋮ A free boundary problem stemmed from combustion theory. II: Stability, instability and bifurcation results.

Cites Work

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• Multi-dimensional stability analysis of planar travelling waves
• On a free-boundary problem for Burgers equation: The large-time behaviour
• Bifurcation from simple eigenvalues
• The Acceleration of Fast Deflagration Waves
• Stability of travelling waves with interface conditions
• The well-posedness of a free boundary problem for Burgers' equation

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