A Space-Time Spectral Method for One-Dimensional Reaction-Diffusion Equation

2021 ◽  
Vol 11 (05) ◽  
pp. 752-766
Author(s):  
欣怡 朱
Keyword(s):  
Diffusion Equation ◽  
Spectral Method ◽  
Reaction Diffusion ◽  
Space Time ◽  
Reaction Diffusion Equation ◽  
One Dimensional ◽  
Time Spectral Method

scholarly journals A reaction-diffusion equation on a thin L-shaped domain

1995 ◽  
Vol 125 (2) ◽  
pp. 283-327 ◽  
Author(s):  
Jack K. Hale ◽  
Geneviève Raugel
Keyword(s):  
Diffusion Equation ◽  
Lower Semicontinuity ◽  
Upper Semicontinuity ◽  
Reaction Diffusion ◽  
Global Attractors ◽  
Reaction Diffusion Equation ◽  
Limit Equation ◽  
One Dimensional ◽  
Shaped Domain

We consider a dissipative reaction–diffusion equation on a thin L-shaped domain (with the thinness measured by a parameter ε); we determine the limit equation for ε = 0 and prove the upper semicontinuity of the global attractors at ε = 0. We also state a lower semicontinuity result. When the limit equation is one-dimensional, we prove convergence of any orbit to a singleton.

Sign in / Sign up

Export Citation Format

Share Document