• Honam Mathematical Journal
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• v.30 no.2
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• pp.391-397
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• 2008

The existence of solutions and the occurrence of a Hopf bifurcation for the free boundary problems with Pushchino dynamics was shown in [1]. In this paper, we shall show a Hopf bifurcation occurs for the free boundary for Pushchino dynamics with a spatial dependency.

• Korean Journal of Mathematics
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• v.12 no.1
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• pp.7-14
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• 2004

The existence of solutions and the occurence of a Hopf bifurcation for the free boundary problem with Pushchino dynamics was shown in [3]. In this paper we shall show a Hopf bifurcation occurs for the free boundary which is given by (1).

• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.637-647
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• 1999

In this paper, we consider a free boundary problem with Pushchino dynamics satisfying the Dirichlet boundary condition. We shall the stationary solutions ($v^{*}(x),s^{*}$) exist and the Hopf bifurcation occurs at a critical point when s $\in$ (1/3,1).

• Bulletin of the Korean Mathematical Society
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• v.33 no.2
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• pp.319-328
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• 1996

In [3], they deal with the free boundary problem with Pushchino dynamics. They showed the existence of solutions and the occurence of a Hopf bifurcation.

• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.237-250
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• 1995

A hopf bifurcation of a free boundary (or an internal layer) occurs in solidification, chemical reactions and combustion. It is a well-known fact that a free boundary usually appear as sharp transitions with narrow width between two materials ([2]).