Blow-up phenomena and persistence property for the modified b-family of equations

被引：3

作者：

Wang, Ying ^{[1
]}

Zhu, Min ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

[2] Nanjing Forestry Univ, Dept Math, Nanjing 310037, Jiangsu, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 262卷 / 03期

关键词：

Modified b-family of equations; Blow-up; Persistence; Weighted space; SHALLOW-WATER EQUATION; GLOBAL EXISTENCE; WELL-POSEDNESS; WAVE-BREAKING; SHOCK-WAVES; STABILITY; PEAKONS; TRAJECTORIES; DYNAMICS; SOLITONS;

D O I：

10.1016/j.jde.2016.09.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the blow-up mechanism and persistence property of solutions to the modified b-family of equations. The dynamics of the blow-up quantity along the characteristics is established by the Riccati-type differential inequality with various parameters. The key feature of the method is to refine the analysis on the growth rate of the relative ratio between solution and its gradient by performing a vertical shift. Furthermore, the persistence results for the solution are established in weighted spaces. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1161 / 1191

页数：31

共 50 条

[21] BLOW-UP PHENOMENA FOR A CLASS OF GENERALIZED DOUBLE DISPERSION EQUATIONS
狄华斐
尚亚东
Acta Mathematica Scientia, 2019, 39 (02) : 567 - 579
[22] Blow-up Analysis for the ab-Family of Equations
Cheng, Wenguang
Lin, Ji
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2024, 26 (02)
[23] Blow-Up Phenomena for a Class of Generalized Double Dispersion Equations
Huafei Di
Yadong Shang
Acta Mathematica Scientia, 2019, 39 : 567 - 579
[24] Blow-Up Phenomena for Certain Nonlocal Evolution Equations and Systems
Jleli, Mohamed
Samet, Bessem
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[25] The global solution and blow-up phenomena to a modified Novikov equation
Lai, Shaoyong
Yan, Haibo
Li, Nan
BOUNDARY VALUE PROBLEMS, 2014,
[26] The global solution and blow-up phenomena to a modified Novikov equation
Shaoyong Lai
Haibo Yan
Nan Li
Boundary Value Problems, 2014
[27] Persistence properties and blow-up phenomena for a generalized Camassa-Holm equation
Wang, Ying
Guo, Yunxi
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[28] On the blow-up phenomena of solutions for the full compressible Euler equations in RN
Wu, Xinglong
NONLINEARITY, 2016, 29 (12) : 3837 - 3856
[29] Blow-up phenomena for a class of metaparabolic equations with time dependent coefficient
Di, Huafei
Shang, Yadong
AIMS MATHEMATICS, 2017, 2 (04): : 647 - 657
[30] Blow-up phenomena of second-order nonlinear differential equations
Li, DS
Huang, HY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (01) : 184 - 195

← 1 2 3 4 5 →