Peter W. Bates
Affiliations: | Brigham Young University, Provo, UT, United States |
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MathematicsGoogle:
"Peter Bates"
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Publications
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Bates PW, Fusco G, Karali GD. (2018) Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria Siam Journal On Applied Dynamical Systems. 17: 2106-2145 |
Lu H, Bates PW, Chen W, et al. (2018) The spectral collocation method for efficiently solving PDEs with fractional Laplacian Advances in Computational Mathematics. 44: 861-878 |
Bates PW, Fusco G, Smyrnelis P. (2017) Multiphase Solutions to the Vector Allen-Cahn Equation: Crystalline and Other Complex Symmetric Structures Archive For Rational Mechanics and Analysis. 225: 685-715 |
Antonopoulou DC, Bates PW, Blömker D, et al. (2016) Motion of a droplet for the stochastic mass-conserving Allen-Cahn equation Siam Journal On Mathematical Analysis. 48: 670-708 |
Bates PW, Fusco G, Jin J. (2016) 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 |
Lu H, Bates PW, Xin J, et al. (2015) Asymptotic behavior of stochastic fractional power dissipative equations on ℝn Nonlinear Analysis, Theory, Methods and Applications. 128: 176-198 |
Lu H, Bates PW, Lü S, et al. (2015) Dynamics of the 3-D fractional complex Ginzburg-Landau equation Journal of Differential Equations. 259: 5276-5301 |
Li J, Lu K, Bates PW. (2015) Geometric singular perturbation theory with real noise Journal of Differential Equations. 259: 5137-5167 |
Li J, Lu K, Bates PW. (2014) Invariant foliations for random dynamical systems Discrete and Continuous Dynamical Systems- Series A. 34: 3639-3666 |
Bates PW, Jin J. (2014) Global dynamics of boundary droplets Discrete and Continuous Dynamical Systems- Series A. 34: 1-17 |