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A Paradifferential Approach for Well-Posedness of the Muskat Problem
Archive for Rational Mechanics and Analysis, 2019We study the Muskat problem for one fluid or two fluids, with or without viscosity jump, with or without rigid boundaries, and in arbitrary space dimension d of the interface.
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This chapter deals with electromagnetic fields in complex media in the time domain. First, the chapter discusses the Maxwell equations in complex media in the time domain and shows that they can be expressed as integrodifferential equations. It then provides a convenient functional setting that allows the Maxwell equation to be treated as an ...
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