Jack Xin

Selected Papers :

• Global Large Time Self-Similarity of a Thermal-Diffusive Combustion System with Critical Nonlinearity (with J. Bricmont, A. Kupiainen), Journal of Differential Equation, Vol. 130, No. 1, pp 9-35, 1996.
  
  
• Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions, (with J. Moloney), Nonlinearity 11 (1998), pp 501-527.
  
  
• A Unified Approach to Vortex Motion Laws of Complex Scalar Field Equations (with F-H Lin), Math Res. Lett 5(1998), pp 1-6.
  
  
• On the incompressible fluid limit and the vortex motion law of the nonlinear Schroedinger equation (with F-H Lin), Comm. Math Phys. 200, (1999), pp 249-274.
  
  
• On the Dynamical Law of the Ginzburg-Landau Vortices on the Plane (with F-H Lin), Comm. Pure Appl. Math., 52(1999), no. 10, pp. 1189-1212.
  
  
• Modeling light bullets with the two-dimensional sine-Gordon equation, Physica D, 135(2000), pp 345-368.
  
  
• Asymptotic Analysis of Nonlinear Schroedinger Equations and Dynamics of Vortices and Light Bullets, Proceedings of ICCM 2001, Taipei; New Studies in Advanced Mathematics, ed. S-T Yau, Vol. 4, pp 575 -- 585, International Press, 2004.
  
  
• Self-Similarity in Deterministic and Stochastic Dissipative Systems, Bulletin of the Institute of Mathematics, Academia Sinica, Vol. 31, No. 2, pp 75--94, June, 2003.
  
  
• A numerical study of light bullets interaction in the (2+1) sine-Gordon equation (with T. Povich); Journal of Nonlinear Science, Vol. 15, pp 11-25, 2005.
  
  
• Variational Principle and Large Scale Effective Quantities, pp 74-81, Proceedings of the 4th International Workshop on Scientific Computing and Applications, eds Ben-yu Guo and Zhong-ci Shi, Scientific Press, Beijing, 2007.