| Year |
Citation |
Score |
| 2018 |
Bates PW, Fusco G, Karali GD. Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria Siam Journal On Applied Dynamical Systems. 17: 2106-2145. DOI: 10.1137/17M1144374 |
0.313 |
|
| 2018 |
Lu H, Bates PW, Chen W, Zhang M. The spectral collocation method for efficiently solving PDEs with fractional Laplacian Advances in Computational Mathematics. 44: 861-878. DOI: 10.1007/S10444-017-9564-6 |
0.302 |
|
| 2017 |
Bates PW, Fusco G, Smyrnelis P. Multiphase Solutions to the Vector Allen-Cahn Equation: Crystalline and Other Complex Symmetric Structures Archive For Rational Mechanics and Analysis. 225: 685-715. DOI: 10.1007/S00205-017-1112-5 |
0.305 |
|
| 2016 |
Antonopoulou DC, Bates PW, Blömker D, Karali GD. Motion of a droplet for the stochastic mass-conserving Allen-Cahn equation Siam Journal On Mathematical Analysis. 48: 670-708. DOI: 10.1137/151005105 |
0.366 |
|
| 2016 |
Bates PW, Fusco G, Jin J. Invariant manifolds of interior multi-spike states for the Cahn-Hilliard equation in higher space dimensions Transactions of the American Mathematical Society. 369: 3937-3975. DOI: 10.1090/Tran/6817 |
0.325 |
|
| 2015 |
Lu H, Bates PW, Xin J, Zhang M. Asymptotic behavior of stochastic fractional power dissipative equations on ℝn Nonlinear Analysis, Theory, Methods and Applications. 128: 176-198. DOI: 10.1016/J.Na.2015.06.033 |
0.383 |
|
| 2015 |
Lu H, Bates PW, Lü S, Zhang M. Dynamics of the 3-D fractional complex Ginzburg-Landau equation Journal of Differential Equations. 259: 5276-5301. DOI: 10.1016/J.Jde.2015.06.028 |
0.384 |
|
| 2015 |
Li J, Lu K, Bates PW. Geometric singular perturbation theory with real noise Journal of Differential Equations. 259: 5137-5167. DOI: 10.1016/J.Jde.2015.06.023 |
0.323 |
|
| 2014 |
Li J, Lu K, Bates PW. Invariant foliations for random dynamical systems Discrete and Continuous Dynamical Systems- Series A. 34: 3639-3666. DOI: 10.3934/Dcds.2014.34.3639 |
0.308 |
|
| 2014 |
Bates PW, Jin J. Global dynamics of boundary droplets Discrete and Continuous Dynamical Systems- Series A. 34: 1-17. DOI: 10.3934/Dcds.2014.34.1 |
0.342 |
|
| 2014 |
Bates PW, Lu K, Wang B. Attractors of non-autonomous stochastic lattice systems in weighted spaces Physica D: Nonlinear Phenomena. 289: 32-50. DOI: 10.1016/J.Physd.2014.08.004 |
0.321 |
|
| 2013 |
Bates P, Fuscoy G, Smyrnelis P. Entire Solutions with Six-fold Junctions to Elliptic Gradient Systems with Triangle Symmetry Advanced Nonlinear Studies. 13: 1-11. DOI: 10.1515/Ans-2013-0102 |
0.309 |
|
| 2013 |
Bates PW, Lu K, Wang B. Tempered random attractors for parabolic equations in weighted spaces Journal of Mathematical Physics. 54. DOI: 10.1063/1.4817597 |
0.378 |
|
| 2012 |
Chen Z, Zhao S, Chun J, Thomas DG, Baker NA, Bates PW, Wei GW. Variational approach for nonpolar solvation analysis. The Journal of Chemical Physics. 137: 084101. PMID 22938212 DOI: 10.1063/1.4745084 |
0.317 |
|
| 2009 |
Bates PW, Lu K, Wang B. Random attractors for stochastic reaction-diffusion equations on unbounded domains Journal of Differential Equations. 246: 845-869. DOI: 10.1016/J.Jde.2008.05.017 |
0.356 |
|
| 2008 |
Bates PW, Lu K, Zeng C. Approximately invariant manifolds and global dynamics of spike states Inventiones Mathematicae. 174: 355-433. DOI: 10.1007/S00222-008-0141-Y |
0.336 |
|
| 2007 |
Bates PW, Zhao G. Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal Journal of Mathematical Analysis and Applications. 332: 428-440. DOI: 10.1016/J.Jmaa.2006.09.007 |
0.386 |
|
| 2007 |
Bates PW, Pan XB. Nucleation of instability of the meissner state of 3-dimensional superconductors Communications in Mathematical Physics. 276: 571-610. DOI: 10.1007/S00220-007-0335-Y |
0.305 |
|
| 2006 |
Alikakos ND, Bates PW, Cahn JW, Fife PC, Fusco G, Tanoglu GB. Analysis of a corner layer problem in anisotropic interfaces Discrete and Continuous Dynamical Systems - Series B. 6: 237-255. DOI: 10.3934/Dcdsb.2006.6.237 |
0.362 |
|
| 2006 |
Bates PW, Zhang C. Traveling pulses for the Klein-Gordon equation on a lattice or continuum with long-range interaction Discrete and Continuous Dynamical Systems. 16: 235-252. DOI: 10.3934/Dcds.2006.16.235 |
0.31 |
|
| 2006 |
Bates PW, Lisei H, Lu K. Attractors for stochastic lattice dynamical systems Stochastics and Dynamics. 6: 1-21. DOI: 10.1142/S0219493706001621 |
0.324 |
|
| 2006 |
Bates PW, Chen F. Spectral analysis of traveling waves for nonlocal evolution equations Siam Journal On Mathematical Analysis. 38: 116-126. DOI: 10.1137/S0036141004443968 |
0.303 |
|
| 2006 |
Bates PW, Han J, Zhao G. On a nonlocal phase-field system Nonlinear Analysis, Theory, Methods and Applications. 64: 2251-2278. DOI: 10.1016/J.Na.2005.08.013 |
0.326 |
|
| 2005 |
Bates PW, Han J. The Dirichlet boundary problem for a nonlocal Cahn-Hilliard equation Journal of Mathematical Analysis and Applications. 311: 289-312. DOI: 10.1016/J.Jmaa.2005.02.041 |
0.398 |
|
| 2005 |
Bates PW, Han J. The Neumann boundary problem for a nonlocal Cahn-Hilliard equation Journal of Differential Equations. 212: 235-277. DOI: 10.1016/J.Jde.2004.07.003 |
0.394 |
|
| 2004 |
Bates PW, Chen X, Chmaj AJJ. Traveling waves of bistable dynamics on a lattice Siam Journal On Mathematical Analysis. 35: 520-546. DOI: 10.1137/S0036141000374002 |
0.354 |
|
| 2002 |
Bates PW, Chen F. Spectral analysis and multidimensional stability of traveling wave for nonlocal Allen-Cahn equation Journal of Mathematical Analysis and Applications. 273: 45-57. DOI: 10.1016/S0022-247X(02)00205-6 |
0.307 |
|
| 2002 |
Bates PW, Shi J. Existence and instability of spike layer solutions to singular perturbation problems Journal of Functional Analysis. 196: 211-264. DOI: 10.1016/S0022-1236(02)00013-7 |
0.341 |
|
| 2001 |
Bates PW, Lu K, Wang B. Attractors for lattice dynamical systems International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 11: 143-153. DOI: 10.1142/S0218127401002031 |
0.352 |
|
| 2000 |
Bates PW, Fusco G. Equilibria with many nuclei for the Cahn-Hilliard equation Journal of Differential Equations. 160: 283-356. DOI: 10.1006/Jdeq.1999.3660 |
0.364 |
|
| 1999 |
Alikakos ND, Bates PW, Chen X. Periodic traveling waves and locating oscillating patterns in multidimensional domains Transactions of the American Mathematical Society. 351: 2777-2805. DOI: 10.1090/S0002-9947-99-02134-0 |
0.361 |
|
| 1999 |
Bates PW, Chmaj A. An integrodifferential model for phase transitions: Stationary solutions in higher space dimensions Journal of Statistical Physics. 95: 1119-1139. DOI: 10.1023/A:1004514803625 |
0.373 |
|
| 1997 |
Bates PW, Fife PC, Gardner RA, Jones CKRT. The existence of travelling wave solutions of a generalized phase-field model Siam Journal On Mathematical Analysis. 28: 60-93. DOI: 10.1137/S0036141095283820 |
0.363 |
|
| 1997 |
Bates PW, Ren X. Heteroclinic orbits for a higher order phase transition problem European Journal of Applied Mathematics. 8: 149-163. DOI: 10.1017/S0956792597002994 |
0.38 |
|
| 1997 |
Bates PW, Fife PC, Ren X, Wang X. Traveling Waves in a Convolution Model for Phase Transitions Archive For Rational Mechanics and Analysis. 138: 105-136. DOI: 10.1007/S002050050037 |
0.363 |
|
| 1996 |
Bates PW, Ren X. Transition layer solutions of a higher order equation in an infinite tube Communications in Partial Differential Equations. 21: 195-220. DOI: 10.1080/03605309608821180 |
0.339 |
|
| 1995 |
Bates PW, Xun JP. Metastable Patterns for the Cahn-Hilliard Equation: Part II. Layer Dynamics and Slow Invariant Manifold Journal of Differential Equations. 117: 165-216. DOI: 10.1006/Jdeq.1995.1052 |
0.371 |
|
| 1994 |
Bates PW, Lu K. A Hartman-Grobman theorem for the Cahn-Hilliard and phase-field equations Journal of Dynamics and Differential Equations. 6: 101-145. DOI: 10.1007/Bf02219190 |
0.352 |
|
| 1994 |
Alikakos ND, Bates PW, Chen X. Convergence of the Cahn-Hilliard equation to the Hele-Shaw model Archive For Rational Mechanics and Analysis. 128: 165-205. DOI: 10.1007/Bf00375025 |
0.37 |
|
| 1994 |
Bates PW, Xun JP. Metastable Patterns for the Cahn-Hilliard Equation, Part I Journal of Differential Equations. 111: 421-457. DOI: 10.1006/Jdeq.1994.1089 |
0.308 |
|
| 1993 |
Bates PW, Fife PC. The dynamics of nucleation for the Cahn-Hilliard equation Siam Journal On Applied Mathematics. 53: 990-1008. DOI: 10.1137/0153049 |
0.39 |
|
| 1993 |
Alikakos ND, Bates PW, Fusco G. Solutions to the nonautonomous bistable equation with specified morse index. Part I: Existence Transactions of the American Mathematical Society. 340: 641-654. DOI: 10.1090/S0002-9947-1993-1167183-0 |
0.37 |
|
| 1992 |
Alikakos ND, Bates PW, Fusco G. Slow Motion Manifolds For A Class of Singular Perturbation Problems: The Linearized Equations Mathematics in Science and Engineering. 186: 1-24. DOI: 10.1016/S0076-5392(08)63372-X |
0.334 |
|
| 1992 |
Bates PW, Zheng S. Inertial manifolds and inertial sets for the phase-field equations Journal of Dynamics and Differential Equations. 4: 375-398. DOI: 10.1007/Bf01049391 |
0.317 |
|
| 1991 |
Alikakos N, Bates PW, Fusco G. Slow motion for the Cahn-Hilliard equation in one space dimension Journal of Differential Equations. 90: 81-135. DOI: 10.1016/0022-0396(91)90163-4 |
0.31 |
|
| 1990 |
Bates PW, Fife PC. Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening Physica D: Nonlinear Phenomena. 43: 335-348. DOI: 10.1016/0167-2789(90)90141-B |
0.386 |
|
| 1989 |
Alikakos ND, Grant CP, Bates PW. Blow up for a diffusion—advection equation Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 113: 181-190. DOI: 10.1017/S0308210500024057 |
0.356 |
|
| 1988 |
Alikakos ND, Bates PW. An invariance principle for a class of monotone systems and application to degenerate parabolic equations Rocky Mountain Journal of Mathematics. 18: 215-224. DOI: 10.1216/Rmj-1988-18-2-215 |
0.334 |
|
| 1988 |
Alikakos ND, Bates PW. On the singular limit in a phase field model of phase transitions Annales De L Institut Henri Poincare-Analyse Non Lineaire. 5: 141-178. DOI: 10.1016/S0294-1449(16)30349-3 |
0.321 |
|
| 1988 |
Alikakos ND, Bates PW. Stabilization of solutions for a class of degenerate equations in divergence form in one space dimension Journal of Differential Equations. 73: 363-393. DOI: 10.1016/0022-0396(88)90112-X |
0.356 |
|
| 1985 |
Bates PW. Travelling waves in radially symmetric parabolic systems Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 99: 269-275. DOI: 10.1017/S0308210500014281 |
0.307 |
|
| 1985 |
Bates PW. Containment of Solutions to Strongly Coupled Parabolic Systems North-Holland Mathematics Studies. 110: 45-54. DOI: 10.1016/S0304-0208(08)72687-2 |
0.315 |
|
| 1984 |
Bates PW, Brown KJ. Convergence to equilibrium in a reaction-diffusion system Nonlinear Analysis. 8: 227-235. DOI: 10.1016/0362-546X(84)90045-2 |
0.304 |
|
| 1983 |
Barrow DL, Bates PW. Bifurcation and stability of periodic traveling waves for a reaction-diffusion system Journal of Differential Equations. 50: 218-233. DOI: 10.1016/0022-0396(83)90075-X |
0.312 |
|
| 1979 |
Bates PW, Ward JR. Periodic solutions of higher order systems Pacific Journal of Mathematics. 84: 275-282. DOI: 10.2140/Pjm.1979.84.275 |
0.366 |
|
| 1975 |
Bates PW, Gustafson GB. Green’s function inequalities for two-point boundary value problems Pacific Journal of Mathematics. 59: 327-343. DOI: 10.2140/Pjm.1975.59.327 |
0.318 |
|
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