Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 3
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- Pages.389-399
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
The well posedness of a parabolic double free boundary problem
Abstract
We consider the reaction-diffusion system of two-component model in one-dimensional space described by $$ (1) u_s = d_1 u_{xx} + f(u, \upsilon) \upsilon_t = d_2\upsilon_{xx} + \gammag(u, \upsilon) $$ where $d_1$ and $d_2$ are the diffusion rates of u and $\upsilon$, and $\gamma$ is the ration of reaction rates. It is interesting the case of that there are differences in the diffusion and reaction rates of u and $\upsilon$.