Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral

2018 ◽  
Vol 40 ◽  
pp. 55-63 ◽  
Author(s):  
Heng-Ling Wang ◽  
Wei-Run Tao ◽  
Xiao-Liu Wang
Keyword(s):  
Parabolic Equation ◽  
Global Convergence ◽  
Finite Time ◽  
Blow Up ◽  
Convergence Of Solutions ◽  
Nonlocal Parabolic Equation

scholarly journals Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Constantin P. Niculescu ◽  
Ionel Rovenţa
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Blow Up ◽  
Neumann Boundary ◽  
Semilinear Parabolic Equations ◽  
New Class ◽  
Large Solutions ◽  
Nonlocal Parabolic Equation ◽  
Work Done ◽  
Semilinear Parabolic

We consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).

Blow-up for a nonlocal parabolic equation

2009 ◽  
Vol 71 (7-8) ◽  
pp. 3551-3562 ◽  
Author(s):  
Fei Liang ◽  
Yuxiang Li
Keyword(s):  
Parabolic Equation ◽  
Blow Up ◽  
Nonlocal Parabolic Equation
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