A KDV-TYPE BOUSSINESQ SYSTEM: FROM THE ENERGY LEVEL TO ANALYTIC SPACES

被引：24

作者：

Bona, Jerry L. ^{[1
]}

Grujic, Zoran ^{[2
]}

Kalisch, Henrik ^{[3
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[3] Univ Bergen, Dept Math, N-5008 Bergen, Norway

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 26卷 / 04期

关键词：

Boussinesq systems; two-way propagation of water waves; well-posedness for nonlinear dispersive equations; analyticity; Gevrey-space analysis; NONLINEAR DISPERSIVE MEDIA; COMPLEX-VALUED SOLUTIONS; AMPLITUDE LONG WAVES; NUMERICAL-SOLUTION; WELL-POSEDNESS; CAUCHY-PROBLEM; REGULARITY; EQUATIONS; CONVERGENCE; PROJECTION;

D O I：

10.3934/dcds.2010.26.1121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considered here is the well-posedness of a KdV-type Boussinesq system modeling two-way propagation of small-amplitude long waves on the surface of an ideal fluid when the motion is sensibly two dimensional. Solutions are obtained in a range of Sobolev-type spaces, from the energy level to the analytic Gevrey spaces. In addition, a criterion for detecting the possibility of blow-up in finite time in terms of loss of analyticity is derived.

引用

页码：1121 / 1139

页数：19

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