کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425490 1633802 2016 73 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness of the Muskat problem with H2 initial data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Well-posedness of the Muskat problem with H2 initial data
چکیده انگلیسی

We study the dynamics of the interface between two incompressible fluids in a two-dimensional porous medium whose flow is modeled by the Muskat equations. For the two-phase Muskat problem, we establish global well-posedness and decay to equilibrium for small H2 perturbations of the rest state. For the one-phase Muskat problem, we prove local well-posedness for H2 initial data of arbitrary size. Finally, we show that solutions to the Muskat equations instantaneously become infinitely smooth.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 286, 2 January 2016, Pages 32-104
نویسندگان
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