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math.AP2012

Blow-up Rate Estimates for a Semilinear Heat Equation with a Gradient Term

Maan A. Rasheed, Miroslav Chlebik

We consider the the pointwise estimates and the blow-up rate estimates for the zero Dirchilet problem of the semilinear heat equation with a gradient term.

math.AP2012

The Blow up Rate Estimates for a Reaction Diffusion System with Gradient Terms

Maan A. Rasheed, Miroslav Chlebik

We concider, the blow-up solutions for a coupled reaction diffusion system with gradient terms. The main purpose is to understand whether the gradient terms effect the blow-up prop…

math.AP2012

On Blow-up of A Reaction Diffusion System Coupled in Both Equations and Boundary Conditions

Maan A. Rasheed, Miroslav Chlebik

We study the blow up solutions of a semilinear reaction diffusion system coupled in both equations and boundary conditions. The main purpose is to understand how the reaction terms…

math.AP2012

On Blow-up of a Seimilinear Heat Equation with Nonlinear Boundary Conditions

Maan A. Rasheed, Miroslav Chlebik

This paper deals with the blow-up properties of the solutions of the semilinear heat equation

math.AP2012

The Blow-up Rate Estimates for a System of Heat Equations with Nonlinear Boundary Conditions

Maan A. Rasheed, Miroslav Chlebik

This paper deals with the blow-up properties of positive solutions to a system of two heat equations.

math.AP2012

Blow-up Rate Estimates for Parabolic Equations

Maan A. Rasheed, Miroslav Chlebik

We consider the blow-up sets and the upper blow-up rate estimates for two parabolic problems defined in a ball.