Complex-Valued Burgers and KdV-Burgers Equations

被引：4

作者：

Khanal, Netra ^{[1
]}

Wu, Jiahong ^{[2
]}

Yuan, Juan-Ming ^{[3
]}

Zhang, Bing-Yu ^{[4
]}

机构：

[1] Univ Wisconsin Washington Cty, Dept Math, W Bend, WI 53095 USA

[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[3] Providence Univ, Dept Appl Math, Taichung 433, Taiwan

[4] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

来源：

JOURNAL OF NONLINEAR SCIENCE | 2010年 / 20卷 / 03期

基金：

美国国家科学基金会;

关键词：

Complex Burgers equation; Complex KdV-Burgers equation; Finite-time singularity; Global regularity; DE-VRIES EQUATION; BLOW-UP; DISSIPATION;

D O I：

10.1007/s00332-010-9062-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T, there exists an explicit initial datum such that its corresponding solution of the Burgers equation blows up at T. In addition, the global convergence and regularity of series solutions is established for initial data satisfying mild conditions.

引用

页码：341 / 360

页数：20

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