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On the splash and splat singularities for the one-phase inhomogeneous Muskat Problem
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نویسنده
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Tania Pernas-Castaño ,Diego Córdoba
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منبع
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journal of nonlinear science - 2018 - دوره : 28 - شماره : 6 - صفحه:2077 -2126
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چکیده
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in this paper, we study finite time splash and splat singularities formation for the interface of one fluid in a porous media with two different permeabilities. we prove that the smoothness of the interface breaks down in finite time into a splash singularity but this is not going to happen into a splat singularity.
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کلیدواژه
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One-phase Muskat problem ,Inhomogeneous Muskat problem ,Finite-time singularities 35Q35 ,35R35 ,76S05
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آدرس
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Universidad Autónoma de Madrid, Departamento de Matemáticas, Spain, Instituto de Ciencias Matemáticas (ICMAT), Spain
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Authors
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