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Free boundary problems with surface tension conditions. (English) Zbl 1153.35409

Summary: We consider free boundary problems with a surface tension condition at the free boundary. The simplest of these problems is the classical Hele-Shaw problem which describes viscous flow between two parallel plates with small spacing. We shall consider models which describe tumor growth and are expressed by systems of PDEs. We shall also consider the Hele-Shaw problem constrained in a half-space.

MSC:

35R35 Free boundary problems for PDEs
76D27 Other free boundary flows; Hele-Shaw flows
35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
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