Selected publications on wave front dynamics in continuous/discrete media

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Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media (with Liang Kong)

Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (with Aijun Zhang)

Stationary Solutions and Spreading Speeds of Nonlocal Monostable Equations in Space Periodic Habitats (with Aijun Zhang), Proc. Amer. Math. Soc., to appear ( Abstract)

Existence of Generalized Traveling Waves in Time Recurrent and Space Periodic Monostable Equations, Journal of Applied Mathematics and Computation, 1 (2011), 69-94. ( Abstract)

Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations, Journal of Dynamics and Differential Equations, 23 (2011), 1-44. ( Abstract)

Effects of Spatial Variations and Dispersal Strategies on Principal Eigenvalues of Dispersal Operators and Spreading Speeds of Monostable Equations (with Georg Hetzer and Aijun Zhang), The Rocky Mountain Journal of Mathematics, to appear ( Abstract)

Spreading Speeds for Monostable Equations with Nonlocal Dispersal in Space Periodic Habitats (with Aijun Zhang), Journal of Differential Equations, 249 (2010), 747-795.

Variational Principle for Spatial Spreading Speeds and Generalized Propagating Speeds in Time Almost Periodic and Space Periodic KPP Models, Transactions of the American Mathematical Society, 362 (2010), 5125-5168.

Spreading and Generalized Propagating Speeds of Discrete KPP Models in Time Varying Environments, Frontiers of Mathematics in China, 4 (3) (2009), 523-562.

Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media (with Jianhua Huang), SIAM Journal on Applied Dynamical Systems, 8 (2009), 790-821.

Traveling Waves in Time Dependent Bistable Media, Differential and Integral Equations, 19 (2006), 241-278.

Traveling Waves in Diffusive Random Media, Journal of Dynamics and Differential Equations, 16 (2004), 1011-1060.

Traveling Waves in Time Periodic Lattice Dynamical Systems, Nonlinear Analysis, 54 (2003), 319-339.

Dynamical Systems and Traveling Waves in Almost Periodic Structures , J. Diff. Equations, 169 (2001), 493-548.

Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities, II. Existence, J. Diff. Equations, 159 (1999), 55-101.

Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities, I. Stability and Uniqueness, J. Diff. Equations, 159 (1999), 1-54.

Traveling Waves in Cellular Neural Networks (with C.-H. Hsu and S.-S. Lin), International Journal of Bifurcation and Chaos, 9 (1999), 1307-1319.

Traveling Waves in Lattice Dynamical Systems (with S.-N. Chow and J. Mallet-Paret), J. Diff. Equations, 149 (1998), 248-291.

Stability and Bifurcation of Traveling Wave Solutions in Coupled Map Lattices (with S.-N. Chow), Dynamic Systems and Applications, 4 (1995), 1-25.

Dynamics in a Discrete Nagumo Equation (with S.-N. Chow), SIAM Journal on Applied Mathematics, 55 (1995), 1764-1781.

A Free Boundary Problem Related to Condensed Two-Phase Combustion, Part I. Semigroup, Part II. Stability and Bifurcation (with S.-N. Chow), J. Differential Equations, 107 (1994), 342-423.