期刊文献+

一类带非局部反应项的抛物方程组全局解的一致有界性(英文) 被引量:1

Uniform Boundedness of Global Solutions of a Parabolic System with Nonlocal Reaction Terms
下载PDF
导出
摘要 本文研究一类带非局部反应项的抛物方程组全局解的一致有界性,证明了该类方程组全局解关于时间和空间变量都是有界的. This paper deals with a nonlinear parabolic system with homogeneous Dirichlet boundary conditions and nonlocal reaction terms,we prove that all global solutions of the system are uniformly bounded in time and space.
作者 李玲 胡学刚
出处 《应用数学》 CSCD 北大核心 2008年第2期362-365,共4页 Mathematica Applicata
基金 NNSF of China (10771226) the Natural Science Foundation ofChongqing (2007BB2450)
关键词 抛物方程组 非局部反应项 全局解 有界性 Parabolic system Nonloeal reaction term Global solutions Boundedness
  • 相关文献

参考文献4

  • 1Souplet P. Blow up in nonlocal reaction-diffusion equation[J]. SIAM J. Math. Anal. , 1998,29(6):1301-1334. 被引量:1
  • 2Rouchon P. Boundedness of golobal solutions of nonlinear diffusion equation with localized reaction term [J]. Differential and Integral Equations, 2003,16 : 1083 - 1092. 被引量:1
  • 3Hu X G,Zhang Y. Uniform boundedness of global solutions to nonlinear parabolic equations with localized reaction terms[J]. J. Sichuan Univ. , 2006,43 (4) : 757-762. 被引量:1
  • 4Li F C,Chen Y P,Xie C H. Asymptotic behavior of solution for nonlocal reaction-diffusion system[J]. Acta Mathematica Scientia, 2003,23 (B) : 261 - 273. 被引量:1

同被引文献20

  • 1徐红英,张慧.关于一类非局部抛物方程组解的爆破速率估计[J].四川师范大学学报(自然科学版),2006,29(1):71-73. 被引量:3
  • 2Allen S M,Cahn J W.A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening[J].Acta Metall,1979,27:1084-1095. 被引量:1
  • 3Rubinstein J,Sternberg P,Keller J B.Fast reaction,slow diffusion and curve shortening[J].SIAM J Appl Math,1989,49:116-133. 被引量:1
  • 4Fife P C.Dynamics for internal layers and diffusive interfaces[C]//CBMS-NSF Regional Conf Ser Appl Math.Philadelphia:SIAM,1988. 被引量:1
  • 5Bronsard L,Kohn R.Motion by mean curvature as the singular limit of Ginzburg-Landau model[J].J Diff Eqns,1991,90:211-237. 被引量:1
  • 6de Mottoni P,Schatzman M.Development of interfaces in R^n[J].Proc Roy Soc Edinb,1990,A116:207-220. 被引量:1
  • 7de Mottoni P,Schatzman M.Geometrical evolution of developed interfaces[J].Trans Am Math Soc,1995,347:1533-1589. 被引量:1
  • 8Chen X.Generation and propagation of interfaces for reaction-diffusion equations[J].J Diff Eqns,1992,96:116-141. 被引量:1
  • 9Evans L C,Soner H M,Souganidis P M.Phase transitions and generalized motion by mean curvature[J].Commun Pure Appl Math,1992,45:1097-1123. 被引量:1
  • 10Ilmanen T.Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature[J].J Diff Geom,1993,38:417-461. 被引量:1

引证文献1

二级引证文献2

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