scholarly journals Determination of the Coefficient of a Semilinear Parabolic Equation for a Boundary-Value Problem with Nonlinear Boundary Condition

2014 ◽  
Vol 66 (6) ◽  
pp. 949-954
Author(s):  
A. Ya. Akhundov ◽  
A. I. Gasanova
Keyword(s):  
Boundary Condition ◽  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Boundary Value ◽  
Semilinear Parabolic Equation ◽  
Semilinear Parabolic

Existence and Blow-Up of Solutions for a Degenerate Semilinear Parabolic Equation

2013 ◽  
Vol 785-786 ◽  
pp. 1454-1458
Author(s):  
Yan Ping Ran ◽  
Cong Ming Peng
Keyword(s):  
Parabolic Equation ◽  
Global Existence ◽  
Boundary Value Problem ◽  
Blow Up ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Semilinear Parabolic Equation ◽  
Initial Boundary Value ◽  
Semilinear Parabolic

This article considers the following degenerate semilinear parabolic initial-boundary value problem,where be constants. We obtained the conditions of global existence and blow-up.

Single Point Blow-Up and Regional Blow-Up of Solutions for a Degenerate Semilinear Parabolic Equation

2013 ◽  
Vol 760-762 ◽  
pp. 1777-1781
Author(s):  
Yong Ding Meng ◽  
Cong Ming Peng
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Blow Up ◽  
Boundary Value ◽  
Single Point ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Semilinear Parabolic Equation ◽  
Initial Boundary Value ◽  
Semilinear Parabolic

Let. This article considers the following degenerate semilinear parabolic initial-boundary value problem, where be constants. We obtained the blow up set and find the conditions of single point blow-up.

scholarly journals Blow-up for Semidiscretization of Semilinear Parabolic Equation With Nonlinear Boundary Condition

2019 ◽  
Vol 11 (5) ◽  
pp. 1
Author(s):  
Ardjouma Ganon ◽  
Manin Mathurin Taha ◽  
Kidjégbo Augustin Touré
Keyword(s):  
Boundary Condition ◽  
Numerical Approximation ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Blow Up ◽  
Mesh Size ◽  
Semilinear Parabolic Equation ◽  
Flux Boundary Condition ◽  
Finite Time Convergence ◽  
Semilinear Parabolic

This paper deals with the study of the numerical approximation for the following semilinear equation with a nonlinear absorption term ut = uxx− λup, 0 < x < 1, t > 0, and a nonlinear flux boundary condition ux(0,t) = 0, ux(1,t) = uq(1,t), t > 0. We give conditions under which the positive semidiscrete solution blows up in a finite time. Convergence of the numerical blow-up time to the theoretical one when the mesh size goes to zero is established. Finally, we use an efficient algorithm to estimate the blow-up time.

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