For ONR Review
- FRG proposal, submitted to NSF, 9/2006.
- Papers on shock reflection
- G.-Q. Chen, M. Feldman,
Global solutions of shock reflection by large-angle wedges for potential flow,
to appear in Annals of Mathematics.
- Y. Zheng,
Two-dimensional regular shock reflection for the pressure gradient system of conservation laws.
Acta Math. Appl. Sin. Engl. Ser. 22 (2006), no. 2, 177--210.
- S. Canic, B. Keyfitz, and E. H. Kim,
A free boundary problem for a quasilinear degenerate elliptic equation: regular reflection of weak shocks (ps)
Comm. Pure and Applied Math., Vol. LV (2002) 71-92.
- K. Jegdic, B. Keyfitz, and S. Canic,
Transonic regular reflection for the nonlinear wave system
Journal of Hyperbolic Differential Equations, 3 (2006) 443-474.
- J.K. Hunter and A.M. Tesdall
Weak Shock Reflection
"A Celebration of Mathematical Modeling", The Joseph B. Keller Anniversary
Volume, ed. Dan Givoli et. al., Kluwer 2004.
Papers on sonic, transonic flows past an obstacle (such as airfoil, wedge...)
- G.-Q. Chen, C. Dafermos, M. Slemrod, and D. Wang,
On two-dimensional sonic-subsonic flow,
Commun. Math. Phys. 271 (2007), 635-647.
- G.-Q. Chen, M. Slemrod, and D. Wang,
Vanishing viscosity method for transonic flow,
to appear in Archive for Rational Mechanics and Analysis.
- V. Elling, T.-P. Liu,
The ellipticity principle for self-similar potential flows.
J. Hyperbolic Differ. Equ. 2 (2005), no. 4, 909--917.
Papers on blood flow in compliant arteries
- S. Canic, J. Tambaca, G. Guidoboni, A. Mikelic, C.J. Hartley, D. Rosenstrauch.
Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow.
SIAM J. Appl. Math., 67 (2006) 164 -193.
- Canic , S. and E. H. Kim.
Mathematical Analysis of the Quasilinear Effects in a Hyperbolic Model of Blood Flow through Compliant Axisymmetric Vessels
Mathematical Methods in Applied Sciences, 26 (14) (2003),1161 -1186.
- S. Canic, Z. Krajcer, and S. Lapin.
Design of Optimal Prostheses Using Mathematical Modeling.
Endovascular Today (Cover Story). May Issue (2006) 48 -50.
- Other information on FRG
- FRG webpage
- FRG workshops in the past and this June
Workshop on Multi-Dimensional Euler Equations and Conservation Laws, University of Pittsburgh,
November 6-9, 2003.
FRG meeting and Summer Workshop on Kinetic Theory and Conservation Law, Stanford University,
July 17-19 and July 20-31, 2004
Madison Workshop on Multi-dimensional Hyperbolic Conservation Laws, University of Wisconsin - Madison,
June 8-12, 2005.
The Houston FRG Workshop on Multi-dimensional Hyperbolic Conservation Laws,
University of Houston, March 1-5, 2006.
Workshop on Kinetic Theory and Conservation Laws, Stanford University, June 26-July 5, 2007.