期刊文献+

Large-time Behavior of Solutions for Parabolic Conservation Laws with Large Initial Data

Large-time Behavior of Solutions for Parabolic Conservation Laws with Large Initial Data
下载PDF
导出
摘要 In this paper,we study the large-time behavior of periodic solutions for parabolic conservation laws.There is no smallness assumption on the initial data.We firstly get the local existence of the solution by the iterative scheme,then we get the exponential decay estimates for the solution by energy method and maximum principle,and obtain the global solution in the same time. In this paper, we study the large-time behavior of periodic solutions for parabolic conservation laws. There is no smallness assumption on the initial data. We firstly get the local existence of the solution by the iterative scheme, then we get the exponential decay estimates for the solution by energy method and maximum principle, and obtain the global solution in the same time.
作者 WANG Li-juan
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期232-237,共6页 数学季刊(英文版)
基金 Foundation item: Supported by the National Science Foundation of China(1107116)
关键词 parabolic conservation law periodic solution large initial data exponential decay parabolic conservation law periodic solution large initial data exponential decay
  • 相关文献

参考文献5

  • 1KOTLOW D B. Quasilinear parabolic equations and first order quassilinear conservation laws with bad Cauchy data[J]. Jounal of Mathematical Analysis and Application, 1969, 6: 295-300.
  • 2TSUTSUM M. Existence and nonexistence of global solutionsfor nonlinear parabolic equations[J]. Publ RIMS, Kyoto Univ, 1972, 8: 211-229.
  • 3ZHANG H, WANG X H. Large-time behavior of smooth solutions to a nonuniformly parabolic equation[J]. Computers and Mathematics with Applications, 2004, 47: 353-363.
  • 4HOPF E. The partial differential equation ut + uu+ -=uxx[J]. Comm Pure Appl Math, 1950, 3: 201-230.
  • 5CORDOBA A, CORDOBA D. A maximum principle applied to quasi-geostrophic equation[J]. Commun Math Phys, 2004, 249: 511-528.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部