Blow-up of solutions of a system of equations with double nonlinearities and nonlocal sources

被引:0
作者
Korpusov, M. O. [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
基金
俄罗斯基础研究基金会;
关键词
Parabolic Type; Galerkin Approximation; Degenerate Parabolic Equation; Quasilinear Parabolic Equation; Local Solvability;
D O I
10.1134/S0012266113120057
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider a nonlocal system of equations of parabolic type with double nonlinearities. A modified Levine method is used to prove the blow-up of solutions.
引用
收藏
页码:1511 / 1517
页数:7
相关论文
共 50 条
[1]   Blow-up of solutions of a system of equations with double nonlinearities and nonlocal sources [J].
M. O. Korpusov .
Differential Equations, 2013, 49 :1511-1517
[2]   Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model Equations [J].
M. O. Korpusov .
Computational Mathematics and Mathematical Physics, 2019, 59 :583-609
[3]   Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model Equations [J].
Korpusov, M. O. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019, 59 (04) :583-609
[4]   BLOW-UP OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS [J].
Li Fucai .
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2005, 18 (04) :327-340
[5]   Uniform blow-up rate for a nonlocal degenerate parabolic equations [J].
Liu Qilin ;
Li Yuxiang ;
Gao Hongjun .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (04) :881-889
[6]   Behavior of blow-up solutions for quasilinear parabolic equations [J].
Yevgenieva Y.A. .
Journal of Mathematical Sciences, 2020, 249 (5) :804-816
[7]   Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type [J].
Korpusov M.O. ;
Sveshnikov A.G. .
Journal of Mathematical Sciences, 2008, 148 (1) :1-142
[8]   Blow-up solutions and numerical simulation for a class of quasilinear parabolic equations [J].
Liu, Hongwei ;
Zhang, Lingling ;
Liu, Tao .
APPLICABLE ANALYSIS, 2025,
[9]   Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations [J].
Wu, Hui .
BOUNDARY VALUE PROBLEMS, 2015,
[10]   Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations [J].
Hui Wu .
Boundary Value Problems, 2015