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Volume 9, Issue 3
The Hopf Bifurcation in a Parabolic Free Boundary Problem with Double Layers

YoonMee Ham

J. Part. Diff. Eq., 9 (1996), pp. 277-288.

Published online: 1996-09

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  • Abstract
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.
  • Keywords

Evolution equation free boundary problem parabolic equation Hopf bifurcation

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@Article{JPDE-9-277, author = {}, title = {The Hopf Bifurcation in a Parabolic Free Boundary Problem with Double Layers}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {3}, pages = {277--288}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5627.html} }
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.
YoonMee Ham . (2019). The Hopf Bifurcation in a Parabolic Free Boundary Problem with Double Layers. Journal of Partial Differential Equations. 9 (3). 277-288. doi:
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