Department of Mathematics
University of Houston
PUBLICATIONS
Journal of Differential Equations, 221 (2006), (2), 470--541.
Communication in Partial Differential Equations, 31 (2006), (12), 1825--1839.
- Solutions for a nonlocal conservation law with fading memory. Joint work with Gui-Qiang Chen
Proceedings of the AMS, 135 (2007), 3905--3915.
- Dependence of entropy solutions in the large for the Euler equations on nonlinear flux functions. Joint work with Gui-Qiang Chen and Yongqian Zhang
Indiana University Mathematics Journal, 56 (2007), (5) 2535--2568
Journal of Hyperbolic Differential Equations, 4, (2007), (3) 435--478
- Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number. Joint work with Gui-Qiang Chen and Yongqian Zhang.
Archive for Rational Mechanics and Analysis DOI: 10.1007/s00205-007-0098-9
- Sharp
Decay Estimates for Hyperbolic Balance Laws. Joint work
with Konstantina Trivisa.
Journal of Differential Equations
(2009), doi:10.1016/j.jde.2009.03.013
- On the Self-Similar Zero-Viscosity Limit for a Boundary Riemann Problem. Joimt work with Laura V. Spinolo.
-
Rarefaction wave interaction for the unsteady transonic small disturbance equations. Joint with Jun Chen and Katarina Jegdic
Preprint.
WORK IN PROGRESS
- Relativistic Full Euler equations. Joint work with Gui-Qiang Chen and Yongqian Zhang.
- Bounday value problem and charcterization of the hyperbolic
trace. Joint work with Laura Spinolo.
- Interaction of Rarefaction Waves. Joint work with Jun Chen and
Katarina Jegdic.
PROCEEDINGS
- Hyperbolic Conservation Laws with Fading Memory Proceeding of Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik workshop, MSRI Publications (to appear in 2006).
- Non-Local Conservaton Laws with Memory, Hyperbolic Problems. Theory, Numerics and Applications. (Proceedings of the 11th Conference on Hyperbolic Problems (HYP2006), Lyon, France, July 17-21, 2006).
-
A Survey on the
comparison of Entropy
Weak Solutions to Euler Equations in the Large with respect to Physical
Parameters, Proceedings
of the 12th International Conference on Hyperbolic
Problems: Theory, Numerics, Applications (HYP2008), Maryland, USA,,
Americal
Mathematical Society. -
The initial-boundary Riemann problem and the time-variant vanishing viscosity method, Workshop Hyperbolic Conservation Laws, Mathematisches Forschungsinstitut Oberwolfach Report 56/2008.
E-mail address: cleopatra (followed @math.uh.edu)
World-Wide Web: www.math.uh.edu/~cleopatra
Mail Address: Department of Mathematics
University of Houston
Houston, TX 77204-3008
Office:
PGH
627
Office phone: (713) 743-3457
Fax: (713) 743-3505