| Traveling waves in a convolution model for phase transitions PW Bates, PC Fife, X Ren, X Wang Archive for Rational Mechanics and Analysis 138 (2), 105-136, 1997 | 726 | 1997 |
| Convergence of the Cahn-Hilliard equation to the Hele-Shaw model ND Alikakos, PW Bates, X Chen Archive for rational mechanics and analysis 128 (2), 165-205, 1994 | 542 | 1994 |
| Random attractors for stochastic reaction–diffusion equations on unbounded domains PW Bates, K Lu, B Wang Journal of Differential Equations 246 (2), 845-869, 2009 | 459 | 2009 |
| Invariant manifolds for semilinear partial differential equations PW Bates, CKRT Jones Dynamics Reported: A Series in Dynamical Systems and their Applications, 1-38, 1989 | 400 | 1989 |
| Attractors for stochastic lattice dynamical systems PW Bates, H Lisei, K Lu Stochastics and Dynamics 6 (01), 1-21, 2006 | 358 | 2006 |
| Attractors for lattice dynamical systems PW Bates, K Lu, B Wang International Journal of Bifurcation and Chaos 11 (01), 143-153, 2001 | 326 | 2001 |
| Existence and persistence of invariant manifolds for semiflows in Banach space PW Bates, K Lu, C Zeng American Mathematical Soc., 1998 | 298 | 1998 |
| Slow motion for the Cahn-Hilliard equation in one space dimension N Alikakos, PW Bates, G Fusco Journal of differential equations 90 (1), 81-135, 1991 | 283 | 1991 |
| An integrodifferential model for phase transitions: stationary solutions in higher space dimensions PW Bates, A Chmaj Journal of statistical physics 95 (5), 1119-1139, 1999 | 282 | 1999 |
| A Discrete Convolution Model¶ for Phase Transitions PW Bates, A Chmaj Archive for Rational Mechanics and Analysis 150 (4), 281-368, 1999 | 270 | 1999 |
| Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal PW Bates, G Zhao Journal of mathematical analysis and applications 332 (1), 428-440, 2007 | 249 | 2007 |
| On some nonlocal evolution equations arising in materials science PW Bates Nonlinear dynamics and evolution equations 48, 13-52, 2006 | 246 | 2006 |
| The dynamics of nucleation for the Cahn–Hilliard equation PW Bates, PC Fife SIAM Journal on Applied Mathematics 53 (4), 990-1008, 1993 | 226 | 1993 |
| Traveling waves of bistable dynamics on a lattice PW Bates, X Chen, AJJ Chmaj SIAM Journal on Mathematical Analysis 35 (2), 520-546, 2003 | 201 | 2003 |
| Attractors of non-autonomous stochastic lattice systems in weighted spaces PW Bates, K Lu, B Wang Physica D: Nonlinear Phenomena 289, 32-50, 2014 | 182 | 2014 |
| Periodic traveling waves and locating oscillating patterns in multidimensional domains N Alikakos, P Bates, X Chen Transactions of the American Mathematical Society 351 (7), 2777-2805, 1999 | 173 | 1999 |
| Minimal molecular surfaces and their applications PW Bates, GW Wei, S Zhao Journal of Computational Chemistry 29 (3), 380-391, 2008 | 152 | 2008 |
| Equilibria with many nuclei for the Cahn–Hilliard equation PW Bates, G Fusco Journal of Differential Equations 160 (2), 283-356, 2000 | 148 | 2000 |
| The Neumann boundary problem for a nonlocal Cahn–Hilliard equation PW Bates, J Han Journal of Differential Equations 212 (2), 235-277, 2005 | 147 | 2005 |
| Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability PW Bates, EN Dancer, J Shi | 142 | 1999 |
Kening LuProfessor of Mathematics, Brigham Young UniversityVerified email at math.byu.edu
