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.