Global Existence and Large-Time Behavior for BGK Model for a Gas with Non-constant Cross Section

2003 ◽  
Vol 32 (2) ◽  
pp. 157-184 ◽  
Author(s):  
A. Bellouquid
Keyword(s):  
Global Existence ◽  
Cross Section ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Constant Cross Section ◽  
Bgk Model

scholarly journals Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Wang Zejia ◽  
Wang Shunti ◽  
Zhang Chengbin
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Nonlinear Boundary ◽  
Large Time ◽  
Large Time Behavior ◽  
Asymptotic Behavior Of Solutions ◽  
Time Behavior ◽  
Multidimensional Problem ◽  
Critical Curves

This paper is concerning the asymptotic behavior of solutions to the fast diffusive non-Newtonian filtration equations coupled by the nonlinear boundary sources. We are interested in the critical global existence curve and the critical Fujita curve, which are used to describe the large-time behavior of solutions. It is shown that the above two critical curves are both the same for the multidimensional problem we considered.

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