Global existence and blow-up phenomena of classical solutions for the system of compressible adiabatic flow through porous media

2004 ◽  
Vol 25 (6) ◽  
pp. 703-713
Author(s):  
Liu Fa-gui ◽  
Kong De-xing
Keyword(s):  
Porous Media ◽  
Global Existence ◽  
Blow Up ◽  
Classical Solutions ◽  
Flow Through Porous Media ◽  
Adiabatic Flow ◽  
Flow Through

scholarly journals Convergence rates to the damped system of compressible adiabatic flow through porous media with boundary effect

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Lina Zhang ◽  
Shifeng Geng ◽  
Yuling Gao
Keyword(s):  
Porous Media ◽  
Convergence Rates ◽  
Boundary Effect ◽  
Energy Estimates ◽  
Flow Through Porous Media ◽  
Adiabatic Flow ◽  
Weighted Energy ◽  
Damped System ◽  
Weighted Energy Estimates ◽  
Flow Through

AbstractIn this paper, we consider convergence rates to solutions for the damped system of compressible adiabatic flow through porous media with boundary effect. Compared with the results obtained by Pan, the better convergence rates are obtained in this paper. Our approach is based on the technical time-weighted energy estimates.

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