Compressible Flow through Porous
Meida
- Ronghua Pan:(new)
Darcy's Law in one-dimensional Isentropic Porous medium flow,
Series in Contemporary Applied Mathematics, CAM 17 (2012),
Vol 1., 238--250. (Supported by NSF).
- Feimin Huang, Ronghua Pan, Zhen Wang: (new)
"L1 convergence to the Barenblatt
solution
for compressible Euler equations with damping"
Arch.
Ration. Mech. Anal., 200, (2011), 665--689.
(supported by NSF).
- Ronghua Pan, Kun Zhao: (new)
" The
3D Compressible Euler Equations with Damping in a Bounded Domain" ,
J. Differential Equations, 246, (2009), 581--596. (Supported by NSF).
- Ronghua Pan:
``Darcy's law
as long time limit of
adiabatic porous media flows''.
J.
Differential Equations, 220, (2006), 121--146.
(supported by
NSF)
- Feimin Huang, Pierangelo
Marcati, Ronghua
Pan:
``Convergence to
Barenblatt Solution for
the Compressible Euler Equations
with Damping and Vacuum''. Arch.
Ration. Mech. Anal. ,
176 (2005), 1--24.
(supported by NSF)
- Feimin Huang, Ronghua Pan:
"Convergence rate for
compressible Euler
equations with damping and vacuum" .
Arch.
Ration. Mech. Anal. , 166, (2003), no. 4, 359-376.
- Feimin Huang, Ronghua Pan:
"Asymptotic behavior of the
solutions to the
damped compressible Euler equations".
J. Differential Equations, 220, (2006), 207--233.
(supported by NSF)
- Ronghua Pan, Pierangelo Marcati:
"On the diffusive profiles
for the system
of compressible adiabatic flow through porous media".
SIAM
J. Math. Anal. 33
(2001), no.
4, 790--826 (electronic).
- Ronghua Pan:
"Boundary effects and large
time behavior for
the system of compressible adiabatic flow through porous media".
Michigan
Math. J., 49(2001), no. 3, 519-540.
- Ling Hsiao, Ronghua Pan:
"The damped
$p$-system with
boundary effects".
Nonlinear PDE's, dynamics and continuum physics (South Hadley, MA,
1998), 109--123,
Contemp.
Math., 255,, Amer. Math. Soc.,
Providence, RI,
2000.
- Ling Hsiao, Ronghua Pan:
"Initial-boundary value
problem for the
system of compressible adiabatic flow through porous media.
J.
Differential Equations ,
159
(1999), no.
1, 280--305.
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Ronghua Pan
(
panrh@math.gatech.edu )