Brief CV (Ronghua Pan)
Education:
B.S. in Mathematics,
University of Sciences and Technology of China.
M.S. in Mathematics,
University of Sciences and Technology of China.
Ph.D. in Mathematics,
Chinese Academy of Sciences. Advisor: Ling Hsiao.
Employment:
2011--present, Full Professor, School of
Mathematics, Georgia Tech.
2007--2011,
Associate Professor, School of Mathematics, Georgia Tech.
2003--2007,
Assistant Professor, School of Mathematics, Georgia Tech.
2000--2003,
Assistant Professor, Department of Mathematics, University of Michigan.
1998--2000,
Post-doc Fellow, SISSA, Italy.
Support:
2012---2015, CNPq, Sciences without Borders,
Special Visiting Researcher
.
2011---2014, National
Science Fundation, DMS 1108994.
2008---2012, National
Science Fundation, DMS 0807406.
2005---2008,
National
Science Fundation, DMS 0505515.
2002,
Rackham Grant and
Fellowhsip, University of Michigan.
2002,
AMS Travel Grant for
ICM 2002.
1998--2000,
Postdoc Fellowship, SISSA, Italy.
Research:
I am interested
in nonlinear hyperbolic PDEs, including hyperbolic conservation laws,
dissipative
hyperbolic balance laws, and realistic models from all fields. I am also
interested in
the stability of nonlinear waves, material sciences and general
relativity.
Recent
publications:
List by subjects
List in order:
- Huapeng Li, Ronghua Pan, Weizhe Zhang:(new)
Initial
Boundary Value Problem for 2D Boussinesq equations with
temperature-dependent heat diffusion
Submitted, ( 2013). (Supported by
NSF)
- Ronghua Pan, Weizhe Zhang:(new)
Compressible
Navier-Stokes equations with temperature dependent heat conductivities
Submitted, ( 2013). (Supported by
NSF)
- Yinghui Zhang, Ronghua Pan, Yi Wang, Zhong Tan:(new)
Zero
dissipation limit with
two interacting shocks of the 1D non-isentropic Navier-Stokes equations
Indiana Univ. Math. J., ( 2012), accepted. (Supported by
NSF)
- 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).
- Yinghui Zhang, Ronghua Pan, Zhong Tan:(new)
Zero
dissipation limit
to a Riemann solution consisting of two shock waves for the 1D
compressible isentropic Navier-Stokes equations
Science China, Mathematics, 56 ( 2013), on-line. DOI
10.1007/s11425-013-4690-1(Supported by
NSF)
- Tong Li, Ronghua Pan, and Kun Zhao
"Global
Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis"
SIAM Journal on
Applied Mathematics, 72
(2012), no 1,
417--443. (Support 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).
- Feimin Huang, Ronghua Pan, Yi
Wang, (new)
"
Stability of Contact Discontinuity
for Jin-Xin Relaxation System" ,
J. Differential
Equations, 244 (2008), 1114--1140.
(supported by NSF).
- Feimin Huang, Ronghua Pan, Huimin Yu:(new)
"Large
time behavior of Euler-Poisson
system for semiconductor",
Science in China Series A: Mathematics, Vol 51,
No. 5
(2008), 965--972. (Supported by NSF)
- Ronghua Pan ,
Joel Smoller
"Blowup
of Smooth Solutions for Relativisitic Euler Equations"
Commun. Math.
Phy., Vol 262, No. 3(2006), 729--755. (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, Ronghua Pan:
"Asymptotic
behavior
of the solutions to the
damped compressible Euler equations".
J. Differential Equations, 220 (2006), 207--233.
(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.
- 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).
- 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.
- Ling Hsiao, Hailiang Li, Ronghua Pan,
``The
zero relaxation behavior of
piecewise smooth solutions to the reacting flow model in the presence
of shocks'', Nonlinear
Anal. 42 (2000),
no. 5, Ser. A: Theory Methods, 905--929.
- Hailiang Li, Ronghua Pan,
"Zero
relaxation limit for piecewise
smooth solutions to a rate-type viscoelastic system in the presence of
shocks" ,
J. Math. Anal. Appl.
252 (2000),
no. 1, 298--324.
- Ling Hsiao, Ronghua Pan,
"Zero
relaxation limit to centered
rarefaction waves for a rate-type viscoelastic system".
J.
Differential Equations, 157
(1999),
no. 1 , 20--40.
- Ling Hsiao, Ronghua Pan
"The
linear
stability of traveling wave
solutions for a reacting flow model with source term".
Quart.
Appl. Math. , 58
(2000),
no. 2,, 219--238.
- Ling Hsiao, Ronghua Pan,
"Nonlinear
stability of two-mode
shock profiles for a rate-type viscoelastic system with relaxation".
Chinese
Ann. Math. Ser. B , 20
(1999),
no. 4,, 479--488.
- Ling Hsiao, Ronghua Pan
"Nonlinear
stability of
rarefaction waves for a rate-type viscoelastic system".
A Chinese summary appears in Chinese Ann. Math. Ser. A
20 (1999), no. 2, 268.
Chinese
Ann. Math. Ser. B, 20
(1999),
no. 2, , 223--232.
- Ronghua Pan,
"The nonlinear stability of travelling wave solutions for a reacting
flow model with source term".
Acta
Math. Sci. (English Ed.) ,
19 (1999),
no. 1, , 26--36.
- Hailaing Li, Ronghua Pan,
"On the existence of the global smooth process for
one-dimensional nonlinear thermoviscoelastic materials with fixed and
thermally insulated
endpoints".
J.
Partial Differential Equations , 12
(1999),
no. 3, 229--242.
- Ronghua Pan, Peicheng Zhu,
"Asymptotic behavior of the solution to a model system in
linearly viscous materials".
J.
Partial Differential Equations ,
12
(1999),
no. 3, 251--261.
- Ronghua Pan,
"Global smooth solutions and the asymptotic behavior of the
motion of a viscous, heat-conductive,
one-dimensional real gas".
J.
Partial Differential Equations 11
(1998),
no. 3, 273--288.
- Ronghua Pan,
"A class of diffusion equations with localized chemical
reactions."
Nonlinear
Anal. 27 (1996),
no. 6, 653--668.
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Complete CV: PS ,
PDF
.
Ronghua Pan
(
panrh@math.gatech.edu )