Wave-breaking phenomena and global existence for the generalized Fornberg-Whitham equation

被引：5
|
作者：
Itasaka, Kenta
机构：
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 502卷 / 01期
关键词：
Generalized Fornberg-Whitham; equation; Burgers equation; Wave-breaking; Blow-up time; Global existence; WELL-POSEDNESS;
D O I：
10.1016/j.jmaa.2021.125247
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the initial value problem for the generalized Fornberg-Whitham equation, which consists of p-order nonlinear advection term and nonlocal dispersion term. In the case of p = 2, we study sufficient conditions for blow-up of solutions and some relations to the Burgers equation. Also, for p >= 5, we show the global existence of the solutions with small initial data. (c) 2021 Elsevier Inc. All rights reserved.
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页数：26
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