scholarly journals BLOW-UP RATE FOR NON-NEGATIVE SOLUTIONS OF A NON-LINEAR PARABOLIC EQUATION

2012 ◽  
Vol 16 (3) ◽  
pp. 839-856
Author(s):  
Chi-Cheung Poon
Keyword(s):  
Parabolic Equation ◽  
Blow Up ◽  
Linear Parabolic Equation ◽  
Non Linear ◽  
Blow Up Rate

scholarly journals Initiation of thermal explosion by intense light: criticality dependence on data and parameters

1987 ◽  
Vol 28 (3) ◽  
pp. 287-295 ◽  
Author(s):  
K. K. Tam
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Parabolic Equation ◽  
Steady State Solution ◽  
Linear Ordinary Differential Equation ◽  
Critical Parameters ◽  
Linear Parabolic Equation ◽  
Thermal Ignition ◽  
Non Linear ◽  
Intense Light

AbstractA model for thermal ignition by intense light is studied. The governing non-linear parabolic equation is linearized in a two-step manner with the aid of a non-linear ordinary differential equation which captures the salient features of the non-linear parabolic equation. The critical parameters are computed from the steady-state solution of the ordinary differential equation, which can be obtained without actually solving the equation. Comparison with available data shows that the present method yields good results.

scholarly journals Attractors for a non-linear parabolic equation modelling suspension flows

2009 ◽  
Vol 11 (2) ◽  
pp. 205-231 ◽  
Author(s):  
José M. Amigó ◽  
◽  
Isabelle Catto ◽  
Ángel Giménez ◽  
José Valero ◽  
...  
Keyword(s):  
Parabolic Equation ◽  
Linear Parabolic Equation ◽  
Suspension Flows ◽  
Equation Modelling ◽  
Non Linear
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