A Multiphase Hele-shaw Flow with Solidification
نویسنده
چکیده
The one-phase Hele-Shaw flow has a long history and has been extensively studied from several point of views ranging from the fluid dynamical beginnings to complex analysis and integrable systems, see [5]. We prove existence, using the implicit function theorem, of a solution Wε in the Bochner space L2(0, T ;H1 0 (Ω;Rm)) to a non-local in time semi-linear system of coupled PDEs of second order related to obstacle type problems, having the explicit form −∆uε + (1− χDi 0 )βε(u i ε) (0.1)
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تاریخ انتشار 2018