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Blow-up for a degenerate and singular parabolic system with nonlocal sources and absorptions
Degenerate and singular parabolic system blow up blow-up set
2010/11/1
This paper deals with the blow-up properties of the solution to the degenerate and singular parabolic system with nonlocal sources, absorptions and homogeneous Dirichlet boundary conditions. The exist...
Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions
Positive solutions parabolic system cross-diffusion nonlocal initial conditions
2010/11/19
The paper is concerned with a system consisting of two coupled nonlinear parabolic equations with a cross-diffusion term, where the solutions at positive times define the initial states. The equation...
Uniform blow-up profiles for a nonlocal degenerate parabolic system
Degenerate reaction-diffusion system Uniform blow-up profiles
2010/9/14
This paper deals with the blow-up profiles of the nonnegative solutions to a degenerate reaction-diffusion system with nonlinear nonlocal sources involved in a product with local terms, subject to the...
The boundary value problem for the nonlinear parabolic system is
solved by the finite difference method with nonuniform meshes. The existence
and a priori estemates of the discrete vector solutions ...
Global Existence and Nonexistence for a Strongly Coupled Parabolic System with Nonlinear Boundary Conditions
Strongly coupled Global existence Finite time blow-up Upper and lower solutions
2007/12/10
This paper deals with the strongly coupled parabolic system $u_{t}=v^{m}{\Delta}u,v_{t}=u^{n}{\Delta}v,\ (x,t)$ $\in {\Omega}\times (0,T)$ subject to nonlinear boundary conditions ${\partial}u/{\parti...