Well-posedness of the Ostrovsky-Hunter Equation under the combined effects of dissipation and short-wave dispersion

被引:22
作者
Coclite, Giuseppe Maria [1 ]
di Ruvo, Lorenzo [1 ]
机构
[1] Univ Bari, Dept Math, Via E Orabona 4, I-70125 Bari, Italy
关键词
Existence; Uniqueness; Stability; Ostrovsky-Hunter equation; Cauchy problem; WEAK ROTATION LIMIT; SOLITARY WAVES; STABILITY;
D O I
10.1007/s00028-015-0306-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. In this paper we study the well-posedness for the Cauchy problem associated with this equation in presence of some weak dissipation effects.
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页码:365 / 389
页数:25
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