TY - JOUR
T1 - The Hopf Bifurcation in a Parabolic Free Boundary Problem with Double Layers
JO - Journal of Partial Differential Equations
VL - 3
SP - 277
EP - 288
PY - 1996
DA - 1996/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5627.html
KW - Evolution equation
KW - free boundary problem
KW - parabolic equation
KW - Hopf bifurcation
AB -  We consider a parabolic free boundary problem which has a bifurcation parameter and double interfaces. We investigate the sign change in a real part of eigenvalues and the transversality condition as a bifurcation parameter cross the critical value in order to examine the stability of the stationary solutions. The occurence of a Hopf bifurcation will be shown at a critical value.