Jack Xin
Recent Papers :
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Asymptotic Spreading of KPP Reactive
Fronts in Incompressible Space-Time Random Flows
(with J. Nolen),
Ann Inst. H. Poincare, Analyse Non Lineaire, to appear.
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KPP Fronts
in a One Dimensional Random Drift (with J. Nolen),
Discrete and Continuous Dynamical Systems-B, to appear.
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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.
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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.
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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.
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A Variational Principle Based Study of KPP Minimal Front Speeds
in Random Shears (with J. Nolen),
Nonlinearity 18 (2005), pp 1655 - 1675.
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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.
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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.
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KPP Front Speeds in Random Shears and the Parabolic Anderson Problem,
Methods and Applications of Analysis, Vol. 10, No. 2, pp 191-198, 2003.
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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.
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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.
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Addendum to Front Propagation in Heterogeneous Media
(SIAM Review, Vol. 42, No. 2, June 2000, pp 161-230).
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Stability, Relaxation and Oscillation of Biodegradation
Fronts (with J. M. Hyman), SIAM Journal Applied Math, 61:(2) 472-505,
2000.
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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.