摘要： 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. 出版者： Elsevier Inc 出版日期： 2016-01-02 出處： Advances in mathematics (New York. 1965), 2016-01, Vol.286, p.32-104 資源來源： Elsevier ScienceDirect Journals Complete ** 版權： 2015 Elsevier Inc. 識別號： ISSN: 0001-8708 識別號： EISSN: 1090-2082 識別號： DOI: 10.1016/j.aim.2015.08.026
