Well-posedness, global solutions and blowup phenomena for a nonlinearly dispersive wave equation

被引：0

作者：

Zhaoyang Yin

机构：

[1] Zhongshan University,Department of Mathematics

[2] Lund University,Department of Mathematics

来源：

Journal of Evolution Equations | 2004年 / 4卷

关键词：

35G25; 35L05.; Local well-posedness; global solutions; blowup phenomena; a sharp estimate of existence time; a nonlinearly dispersive wave equation.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish the local well-posedness for a new nonlinearly dispersive wave equation which has solutions that exist for indefinite times as well as solutions that blowup infinite time. We also derive an explosion criterion for the equation, and we give a sharp estimate of the existence time for solutions with smooth initial data.

引用

页码：391 / 419

页数：28

共 50 条

[41] LOCAL AND GLOBAL WELL-POSEDNESS FOR A CLASS OF NONLINEAR DISPERSIVE EQUATIONS
Cascaval, Radu C.
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS, 2004, 9 (1-2) : 85 - 132
[42] WELL-POSEDNESS AND BLOWUP FOR THE DISPERSION-MANAGED NONLINEAR SCHR?DINGER EQUATION
Murphy, Jason
Van Hoose, Tim
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (06) : 2489 - 2502
[43] Solitary wave solutions and global well-posedness for a coupled system of gKdV equations
Gomes, Andressa
Pastor, Ademir
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2021, 21 (02) : 2167 - 2193
[44] Solitary wave solutions and global well-posedness for a coupled system of gKdV equations
Andressa Gomes
Ademir Pastor
[J]. Journal of Evolution Equations, 2021, 21 : 2167 - 2193
[45] Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations
Wan, Renhui
Chen, Jiecheng
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (04):
[46] Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations
Renhui Wan
Jiecheng Chen
[J]. Zeitschrift für angewandte Mathematik und Physik, 2016, 67
[47] Well-posedness and blowup phenomena for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs
Zhou, Shouming
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2014, 14 (03) : 727 - 747
[48] Global Well-Posedness and Scattering for Derivative Schrodinger Equation
Wang, Yuzhao
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (10) : 1694 - 1722
[49] Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems
Matsuyama, Tokio
Ruzhansky, Michael
[J]. ANALYTIC METHODS IN INTERDISCIPLINARY APPLICATIONS, 2015, 116 : 81 - 96
[50] Global well-posedness for the derivative nonlinear Schrodinger equation
Bahouri, Hajer
Perelman, Galina
[J]. INVENTIONES MATHEMATICAE, 2022, 229 (02) : 639 - 688

← 1 2 3 4 5 →