On H 2-solutions for a Camassa-Holm type equation

被引：6

作者：

Coclite, Giuseppe Maria ^{[1
]}

di Ruvo, Lorenzo ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Bari, Italy

[2] Univ Bari, Dipartimento Matemat, Bari, Italy

来源：

OPEN MATHEMATICS | 2023年 / 21卷 / 01期

关键词：

existence; uniqueness; stability; Camassa-Holm type equation; Cauchy problem; GLOBAL WEAK SOLUTIONS; SHALLOW-WATER EQUATION; SINGULAR LIMIT PROBLEM; TRAVELING-WAVE SOLUTIONS; BLOW-UP PHENOMENA; WELL-POSEDNESS; INTEGRABLE EQUATION; CONSERVATIVE SOLUTIONS; CAUCHY-PROBLEM; DISCONTINUOUS SOLUTIONS;

D O I：

10.1515/math-2022-0577

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Camassa-Holm type equations arise as models for the unidirectional propagation of shallow water waves over a flat bottom. They also describe finite length, small amplitude radial deformation waves in cylindrical compressible hyperelastic rods. Under appropriate assumption on the initial data, on the time T T , and on the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem.

引用

页数：21

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