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

Olivier BaconneauClaude-Michel BraunerAlessandra Lunardi — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We consider a parabolic Free Boundary Problem, with jump conditions at the interface. Its planar travelling-wave solutions are orbitally stable provided the bifurcation parameter u * does not exceed a critical value u * c . The latter is the limit of a decreasing sequence ( u * k ) of bifurcation points. The paper deals with the study of the bifurcated branches from the planar branch, for small . Our technique is based on the elimination of the unknown front, turning the problem into a one, to which...

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