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A quasi-steady approximation to an integro-differential model of interface motion. (English) Zbl 0832.35155

A quasi-steady approximation to a model of crystalline motion is studied. In this model an integral condition is imposed on the temperature on the interface. Local in time existence of weak solutions is established by an iterative procedure.
Reviewer: P.Rybka (Warszawa)

MSC:

35R35 Free boundary problems for PDEs
80A22 Stefan problems, phase changes, etc.
35D05 Existence of generalized solutions of PDE (MSC2000)
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References:

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