Well-posedness of the Muskat problem with H2 initial data
نویسندگان
چکیده
Article history: Received 30 December 2014 Accepted 13 August 2015 Available online xxxx Communicated by Charles Fefferman MSC: 35R35 35Q35 35S10 76B03
منابع مشابه
The Domain of Parabolicity for the Muskat Problem
Abstra t. We address the well-posedness of the Muskat problem in a periodi geometry and in a setting whi h allows us to onsider general initial and boundary data, gravity e e ts, as well as surfa e tension e e ts. In the absen e of surfa e tension we prove that the Rayleigh-Taylor ondition identi es a domain of paraboli ity for the Muskat problem. This property is used to establish the well-pos...
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تاریخ انتشار 2015