The Dynamics of Nucleation for the Cahn-Hilliard Equation. - Peter W. Bates; Paul C. Fife (SIAM J. Appl. Math., 1993)

Attractors for Lattice Dynamical Systems. - Peter W. Bates; Kening Lu; Bixiang Wang (Int. J. Bifurc. Chaos, 2001)

Traveling Waves of Bistable Dynamics on a Lattice. - Peter W. Bates; Xinfu Chen; Adam J. J. Chmaj (SIAM J. Math. Anal., 2003)

Spectral analysis of traveling waves for nonlocal evolution equations. - Peter W. Bates; Fengxin Chen (SIAM J. Math. Anal., 2006)

Minimal molecular surfaces and their applications. - Peter W. Bates; Guo-Wei Wei 001; Shan Zhao 001 (J. Comput. Chem., 2008)

Growth regulation and the insulin signaling pathway. - Peter W. Bates; Yu Liang; Alexander W. Shingleton (Networks Heterog. Media, 2013)

Motion of a Droplet for the Stochastic Mass-Conserving Allen-Cahn Equation. - D. C. Antonopoulou; Peter W. Bates; Dirk Blömker; Georgia D. Karali (SIAM J. Math. Anal., 2016)

Individual Flux Study via Steady-State Poisson-Nernst-Planck Systems: Effects from Boundary Conditions. - Peter W. Bates; Yusheng Jia; Guojian Lin; Hong Lu 003; Mingji Zhang (SIAM J. Appl. Dyn. Syst., 2017)

The spectral collocation method for efficiently solving PDEs with fractional Laplacian. - Hong Lu 003; Peter W. Bates; Wenping Chen; Mingji Zhang (Adv. Comput. Math., 2018)

Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria. - Peter W. Bates; Giorgio Fusco; Georgia D. Karali (SIAM J. Appl. Dyn. Syst., 2018)

Mathematical studies of Poisson-Nernst-Planck model for membrane channels: Finite ion size effects without electroneutrality boundary conditions. - Rakhim Aitbayev; Peter W. Bates; Hong Lu 003; Lijun Zhang; Mingji Zhang (J. Comput. Appl. Math., 2019)

Small Permanent Charge Effects on Individual Fluxes via Poisson-Nernst-Planck Models with Multiple Cations. - Peter W. Bates; Zhenshu Wen; Mingji Zhang (J. Nonlinear Sci., 2021)