Jack Xin

Selected Papers :

• White noise perturbation of the viscous shock fronts of the Burgers equation (with J. Wehr), Comm. Math. Physics (1996), pp 183-203.
  
  
• Front speed in a Burgers equation with random flux (with J. Wehr), J. Stat. Phys, 88(3/4)(1997), 843-871.
  
  
• A numerical study of fronts in random media using a reactive solute transport model (with M. Postel), Computational Geoscience 1 (1997), pp 251-270.
  
  
• Self-Similar Decay in the Kraichnan Model of a Passive Scalar, (with G. L. Eyink), Journal Stat Phys, Vol. 100, Issue 3/4, August 2000, pp. 679-741.
  
  
• Statistical Analysis of a Semilinear Hyperbolic System Advected by a White in Time Random Velocity Field, (with G. L. Eyink), Nonlinearity, Vol 15, No.3, May 2002, pp 551-565.
  
  
• KPP Front Speeds in Random Shears and the Parabolic Anderson Problem, Methods and Applications of Analysis, Vol. 10, No. 2, pp 191-198, 2003.
  
  
• Min-Max Variational Principle and Front Speeds in Random Shear Flows (with J. Nolen), Methods and Applications of Analysis, Vol. 11, No. 4, pp 635-644, 2004.
  
  
• A Variational Principle Based Study of KPP Minimal Front Speeds in Random Shears (with J. Nolen), Nonlinearity 18 (2005), pp 1655 - 1675.
  
  
• Scaling Limits of Waves in Convex Scalar Conservation Laws under Random Initial Perturbations (with J. Wehr), J. Stat. Physics, Vol. 122, No. 2, pp 361-370, 2006.
  
  
• A Variational Principle of KPP Front Speeds in Temporally Random Shear Flows (with J. Nolen), Comm Math Physics, Vol. 269, pp 493-532, 2007.
  
  
• Breakdown of homogenization for the random Hamilton-Jacobi equations (with Weinan E, and J. Wehr), Comm. Math Sci, Vol 6, No. 1, pp 189-197, 2008.
  
  
• KPP Fronts in a One Dimensional Random Drift (with J. Nolen), Discrete and Continuous Dynamical Systems-B, to appear.
  
  
• Asymptotic Spreading of KPP Reactive Fronts in Incompressible Space-Time Random Flows (with J. Nolen), Ann Inst. H. Poincare, Analyse Non Lineaire, to appear.
  
  
• Computing Reactive Front Speeds in Random Flows by Variational Principle (with J. Nolen), Physica D, to appear.