A Blow-up Result for the Periodic Solutions to an Integrable Dispersive Hunter-Saxton Equation

被引：0

作者：

Jiang, Bo ^{[1
]}

机构：

[1] Jiangsu Univ Technol, Dept Appl Math, Changzhou 213001, Jiangsu, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2022年 / 29卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Integrable Hunter-Saxton equation; Dispersion term; Periodic solution; Blow-up; HYPERBOLIC VARIATIONAL EQUATION; SHALLOW-WATER EQUATION; ASYMPTOTIC EQUATION; GLOBAL-SOLUTIONS; WAVE BREAKING; GEODESIC-FLOW; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s44198-021-00025-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a finite time blow-up result for the periodic solutions to an integrable Hunter-Saxton equation with a dispersion term on the basis of its conserved quantities and blow-up criterion, as well as the Gagliardo-Nirenberg inequality.

引用

页码：115 / 123

页数：9

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