Jack Xin

Recent Papers :

• Asymptotic Spreading of KPP Reactive Fronts in Incompressible Space-Time Random Flows (with J. Nolen), Ann Inst. H. Poincare, Analyse Non Lineaire, to appear.
  
  
• KPP Fronts in a One Dimensional Random Drift (with J. Nolen), Discrete and Continuous Dynamical Systems-B, to appear.
  
  
• Computing Reactive Front Speeds in Random Flows by Variational Principle (with J. Nolen), Physica D, doi:10.1016/j.physd.2008.04.024, appeared on-line June 8, 2008.
  
  
• Finite Element Computation of KPP Front Speeds in Random Shear Flows in Cylinders (with L. Shen and A. Zhou), SIAM J. Multiscale Modeling and Simulation, to appear, 2008.
  
  
• A Variational Principle of KPP Front Speeds in Temporally Random Shear Flows (with J. Nolen), Comm Math Physics, Vol. 269, No. 2, pp 493-532, 2007.
  
  
• A Variational Principle Based Study of KPP Minimal Front Speeds in Random Shears (with J. Nolen), Nonlinearity 18 (2005), pp 1655 - 1675.
  
  
• Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds (with J. Nolen, M. Rudd), Dynamics of PDE, Vol. 2, No. 1, pp 1-24, 2005.
  
  
• Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle (with J. Nolen); Discrete and Continuous Dynamical Systems, 2005, Vol. 13, No. 5, pp 1217-1234.
  
  
• 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.
  
  
• KPP Front Speeds in Random Shears and the Parabolic Anderson Problem, Methods and Applications of Analysis, Vol. 10, No. 2, pp 191-198, 2003.
  
  
• Reaction-diffusion front speeds in spatially-temporally periodic shear flows (with J. Nolen), SIAM J. Multiscale Modeling and Simulation, Vol. 1, No. 4, pp. 554-570, 2003.
  
  
• Modeling Thermal Front Dynamics in Microwave Heating (with G. Mercado, B. Luce), IMA J Applied Math, 67, no. 5, pp 419-439, 2002.
  
  
• Front Propagation in Heterogeneous Media, SIAM Review, Vol. 42, No. 2, June 2000, pp 161-230. Selected as ISI Fast Breaking Paper, April 2002. Top 1% of papers each field each year from 1991 through 2001, among 22 broad fields of science.
  
  
• Addendum to Front Propagation in Heterogeneous Media (SIAM Review, Vol. 42, No. 2, June 2000, pp 161-230).
  
  
• Stability, Relaxation and Oscillation of Biodegradation Fronts (with J. M. Hyman), SIAM Journal Applied Math, 61:(2) 472-505, 2000.
  
  
• Fluid Limit and Free Boundaries in Biodegradation, in Proceedings of the 1999 Chiba International Conference on Free Boundaries, Gakuto International Series, Mathematical Sciences and Applications, Vol. 13 (Free Boundary Problems: Theory and Applications I), April 2000, pp 429-440.
  
  
• Existence of traveling waves in a bioremediation model for organic contaminants (with R. Murray), SIAM J. Math Analysis, Vol. 30, No. 1, pp 72-94, 1998.
  
  
• Stochastic analysis of bioremediation fronts in one-dimensional heterogeneous porous media (with D. Zhang), Advances in Water Resources, Vol. 22, No. 2, pp 103-116, 1998.