On finite-time blow-up for a nonlocal parabolic problem arising from shear bands in metals

被引:3
|
作者
Zheng, Gao-Feng [1 ]
机构
[1] Huazhong Normal Univ, Dept Math, Wuhan 430070, Peoples R China
关键词
nonlocal parabolic equations; finite-time blow-up; method of moving planes;
D O I
10.1090/S0002-9939-06-08925-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Results on finite-time blow-up of solutions to the nonlocal parabolic problem [GRAPHICS] are established. They extend some known results to higher dimensions.
引用
收藏
页码:1487 / 1494
页数:8
相关论文
共 50 条
  • [1] Finite-time blow-up of a non-local stochastic parabolic problem
    Kavallaris, Nikos, I
    Yan, Yubin
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 130 (09) : 5605 - 5635
  • [2] Finite Time Blow-up of Parabolic Systems with Nonlocal Terms
    Li, Fang
    Yip, Nung Kwan
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2014, 63 (03) : 783 - 829
  • [3] Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral
    Wang, Heng-Ling
    Tao, Wei-Run
    Wang, Xiao-Liu
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 40 : 55 - 63
  • [4] Finite-time blow-up for inhomogeneous parabolic equations with nonlinear memory
    Alqahtani, Awatif
    Jleli, Mohamed
    Samet, Bessem
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (01) : 84 - 93
  • [5] Finite time blow-up for some parabolic systems arising in turbulence theory
    Fanelli, Francesco
    Granero-Belinchon, Rafael
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (05):
  • [6] Finite time blow-up for some parabolic systems arising in turbulence theory
    Francesco Fanelli
    Rafael Granero-Belinchón
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [7] Blow-up time for a parabolic problem with a nonlinear source of local and nonlocal features
    Chan, CY
    Tian, HY
    [J]. NEURAL, PARALLEL, AND SCIENTIFIC COMPUTATIONS, VOL 2, PROCEEDINGS, 2002, : 215 - 220
  • [8] Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation
    Constantin, Adrian
    Molinet, Luc
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 402 (03) : 3233 - 3252
  • [9] Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation
    Adrian Constantin
    Luc Molinet
    [J]. Communications in Mathematical Physics, 2023, 402 : 3233 - 3252
  • [10] FINITE-TIME BLOW-UP AND GLOBAL SOLUTIONS FOR SOME NONLINEAR PARABOLIC EQUATIONS
    Gazzola, Filippo
    [J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2004, 17 (9-10) : 983 - 1012