Peter W. Bates
机构: Professor of Mathematics, Michigan State University
每年引用次数
引用次数
引用: 8,330
H-指数: 44
I10-指数 : 86
出版物: 164
Slow Motion Manifolds For A Class of Singular Perturbation Problems: The Linearized Equations
N.D. Alikakos , P.W. Bates , G. Fusco
Mathematics in science and engineering 186 1 -24
5
1992
Estimates for the eigenvalues of the Jordan product of Hermitian matrices
N. Alikakos , P.W. Bates
Linear Algebra and its Applications 57 41 -56
8
1984
Metastable Patterns for the Cahn-Hilliard Equation: Part II. Layer Dynamics and Slow Invariant Manifold
P.W. Bates , J.P. Xun
Journal of Differential Equations 117 ( 1) 165 -216
61
1995
Metastable Patterns for the Cahn-Hilliard Equation, Part I
P.W. Bates , J.P. Xun
Journal of Differential Equations 111 ( 2) 421 -457
115
1994
Projection methods for nonlinear nodal problems
P.W. Bates , G.B. Gustafson
Rocky Mountain Journal of Mathematics 7 ( 3) 569 -608
1
1977
An invariance principle for a class of monotone systems and application to degenerate parabolic equations
N.D. Alikakos , P.W. Bates
Rocky Mountain Journal of Mathematics 18 ( 2) 215 -224
1988
Convergence to equilibrium in a reaction-diffusion system
P.W. Bates , K.J. Brown
Nonlinear Analysis-theory Methods & Applications 8 ( 3) 227 -235
4
1984
Phase field models for hypercooled solidification
P.W. Bates , P.C. Fife , R.A. Gardner , C.K.R.T. Jones
Physica D: Nonlinear Phenomena 104 ( 1) 1 -31
35
1997
Global existence and uniqueness of solutions to a nonlocal phase-field system
PETER W Bates , Fengxin Chen , Junping Wang
US–Chinese Conference on Differential Equations and Applications, International Press, Cambridge, MA 14 -21
20
1997
A numerical scheme for the Mullins–Sekerka evolution in three space dimensions
PETER W Bates , SARAH Brown
Differential equations and computational simulations (Chengdu, 1999) 12 -26
4
2000
Asymptotics of the Cahn–Hilliard flow
NICHOLAS D Alikakos , PETER W Bates , XINFU Chen
Curvature Flows and Related Topics, Levico 13 -23
1
1994
Normally hyperbolic invariant manifolds for random dynamical systems: part I-persistence
PETER BATES , JI LI , KENING LU
Transaction of the AMS
1
Sunday 17th November, 2013 GEOMETRIC SINGULAR PERTURBATION THEORY WITH REAL NOISE
JI LI , KENING LU , PETER BATES
Extreme Anisotropy of Diffuse Interfaces in Crystals
N D Alikakos , P W Bates , John W Cahn , P C Fife
N D. Alikakos, P W. Bates, John W. Cahn, P C. Fife, G Fusco, G B. Tanoglu
2021
Global Dynamics of Particles Driven by a Nonlinear Reaction
PETER W BATES , KENING LU , CHONGCHUN ZENG
Comm. Pure Appl. Math 52 983 -1046
1999
FOLIATIONS FOR SEMIFLOWS IN BANACH SPACES NEAR A NORMALLY HYPERBOLIC INVARIANT MANIFOLD
PETER W BATES , Kening Lu , Chongchun ZeNG
Differential Equations and Applications: Proceedings of the US-Chinese Conference, Held in Hangzhou, June 24-29, 1996 30 -30
1996
to Parabolic Systems
PETER W BATES
Nonlinear Functional Analysis and Its Applications, Part 1: Proceedings of the Summer Research Institute: the Result of the Thirty-first Summer Research Institute of the American Mathematical Society; Berkeley-Calif., July 11-29, 1983 45 ( Part 1) 103 -103
1986
llLdllt-\61b. 0ljll*\ll6llt, s ([r+ r) 1olt.,= 2y6yt\J/""-
PETER W BATES , FENGXIN CHEN , JUNPING WANG
CURRENT DIRECTIONS IN NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS-PREFACE
PW BATES , PC FIFE
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 21 ( 2) 581 -581
1991
WITH NONINVERTIBLE LINEAR PART
Peter W BATES , Alfonso CASTRO