Computation of bifurcated branches in a free boundary problem arising in combustion theory

DOI10.1051/m2an:2000139zbMath0962.65072OpenAlexW2010691085MaRDI QIDQ4950926

Olivier Baconneau, Claude-Michel Brauner, Alessandra Lunardi

Publication date: 4 September 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193984

zbMATH Keywords

free boundary problembifurcation pointstravelling-wave solutionsarc length continuationbifurcated branches

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Combustion (80A25) Free boundary problems for PDEs (35R35) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Bifurcations in context of PDEs (35B32)

Related Items (3)

An ignition-temperature model with two free interfaces in premixed flames ⋮ Instability of free interfaces in premixed flame propagation ⋮ Modeling and simulation of fingering pattern formation in a combustion model

Cites Work

• Unnamed Item
• On the stability of waves of nonlinear parabolic systems
• Multi-dimensional stability analysis of planar travelling waves
• A general approach to stability in free boundary problems
• Bifurcation from simple eigenvalues
• The Acceleration of Fast Deflagration Waves
• Stability of travelling waves with interface conditions
• Bifurcation of nonplanar travelling waves in a free boundary problem
• Stability of travelling waves in a multidimensional free boundary problem

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