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| CLASSICAL SOLUTION OF QUASI-STATIONARY STEFAN PROBLEM |
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Citation： |
Yi Fahuai.CLASSICAL SOLUTION OF QUASI-STATIONARY STEFAN PROBLEM[J].Chinese Annals of Mathematics B,1996,17(2):175~186 |
| Page view： 0
Net amount： 800 |
Authors： |
Yi Fahuai; |
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| Abstract： |
This paper considers the quasi-stationary Stefan problem:
$$\align
& \triangle u(x,t)=0\quad \hbox{ in space-time domain,}\&u=0 \quad \hbox{ and } V_\nu+\frac{\partial
u}{\partial\nu}=0 \quad \hbox{ on the free boundary.}
\endalign
$$
Under the natural conditions the existence of classical
solution locally in time is proved by making use of the property of Frechet derivative
operator and fixed point theorem. For the sake of simplicity only
the one-phase problem is dealt with. In fact two-phase problem
can be dealt with in a similar way with more complicated calculation. |
Keywords： |
Classical solution, Quasi-stationary, Stefan problem,
Frechet derivative |
Classification： |
35R35 |
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