The zero surface tension limit two-dimensional water waves
نویسندگان
چکیده
منابع مشابه
The Zero Surface Tension Limit of Two-Dimensional Water Waves
We consider two-dimensional water waves of infinite depth, periodic in the horizontal direction. It has been proven by Wu (in the slightly different nonperiodic setting) that solutions to this initial value problem exist in the absence of surface tension. Recently Ambrose has proven that solutions exist when surface tension is taken into account. In this paper, we provide a shorter, more elemen...
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We perform energy estimates for a sharp-interface model of two-dimensional, twophase Darcy flow with surface tension. A proof of well-posedness of the initial value problem follows from these estimates. In general, the time of existence of these solutions will go to zero as the surface tension parameter vanishes. We then make two additional estimates, in the case that a stability condition is s...
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Wesley B. Cardoso,1 Luca Salasnich,2, 3 and Boris A. Malomed4, 5 1Instituto de Fı́sica, Universidade Federal de Goiás, 74.690-900, Goiânia, Goiás, Brazil 2Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy 3Istituto Nazionale di Ottica (INO) del Consiglio Nazionale delle Ricerche (CNR), Sezione di Sesto Fiorentino, Via Nello ...
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The purpose of this article is to clarify the Cauchy theory of the water waves equations as well in terms of regularity indexes for the initial conditions as for the smoothness of the bottom of the domain (namely no regularity assumption is assumed on the bottom). Our main result is that, following the approach developped in [1], after suitable paralinearizations, the system can be arranged int...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2005
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20085