Well-posedness of the water-wave with viscosity problem
نویسندگان
چکیده
In this paper we study the motion of a surface gravity wave with viscosity. particular prove two well-posedness results. On one hand, establish local solvability in Sobolev spaces for arbitrary dissipation. other global Wiener sufficiently large These results are first rigorous proofs Dias, Dyachenko & Zakharov system ( Physics Letters A 2008) modeling waves viscosity when tension is not taken into account.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2020.12.019