scholarly journals Critical curves for fast diffusion equations coupled via nonlinear boundary flux

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Zhengqiu Ling
Keyword(s):  
Nonlinear Boundary ◽  
Diffusion Equations ◽  
Fast Diffusion ◽  
Nonlinear Boundary Flux ◽  
Critical Curves ◽  
Boundary Flux ◽  
Fast Diffusion Equations

scholarly journals CRITICAL CURVES FOR A COUPLED SYSTEM OF FAST DIFFUSIVE NEWTONIAN FILTRATION EQUATIONS

2012 ◽  
Vol 86 (3) ◽  
pp. 440-447
Author(s):  
RUNMEI DU ◽  
ZEJIA WANG
Keyword(s):  
Nonlinear Boundary ◽  
Large Time ◽  
Upper And Lower Solutions ◽  
Coupled System ◽  
Dimensional System ◽  
Nonlinear Boundary Flux ◽  
One Dimensional ◽  
Critical Curves ◽  
Nonlinear Anal ◽  
Boundary Flux

AbstractThis paper deals with the large-time behaviour of solutions to the fast diffusive Newtonian filtration equations coupled via the nonlinear boundary sources. A result of Fujita type is obtained by constructing various kinds of upper and lower solutions. In particular, it is shown that the critical global existence curve and the critical Fujita curve concide for the multi-dimensional system. This is quite different from the known results obtained in Wang, Zhou and Lou [‘Critical exponents for porous medium systems coupled via nonlinear boundary flux’, Nonlinear Anal.7(1) (2009), 2134–2140] for the corresponding one-dimensional problem.

Poincaré inequalities for linearizations of very fast diffusion equations

Nonlinearity ◽  
2002 ◽  
Vol 15 (3) ◽  
pp. 565-580 ◽  
Author(s):  
J A Carrillo ◽  
C Lederman ◽  
P A Markowich ◽  
G Toscani
Keyword(s):  
Diffusion Equations ◽  
Fast Diffusion ◽  
Poincaré Inequalities ◽  
Poincare Inequalities ◽  
Fast Diffusion Equations

Extinction behaviour for fast diffusion equations with absorption

2001 ◽  
Vol 43 (8) ◽  
pp. 943-985 ◽  
Author(s):  
Raúl Ferreira ◽  
Juan Luis Vazquez
Keyword(s):  
Diffusion Equations ◽  
Fast Diffusion ◽  
Fast Diffusion Equations
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