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Shibin Dai
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Year
On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients
Z Chen, S Dai
SIAM Journal on Scientific Computing 24 (2), 443-462, 2002
1252002
Weak solutions for the Cahn–Hilliard equation with degenerate mobility
S Dai, Q Du
Archive for Rational Mechanics and Analysis 219, 1161-1184, 2016
832016
Computational studies of coarsening rates for the Cahn–Hilliard equation with phase-dependent diffusion mobility
S Dai, Q Du
Journal of Computational Physics 310, 85-108, 2016
812016
Adaptive Galerkin methods with error control for a dynamical Ginzburg--Landau model in superconductivity
Z Chen, S Dai
SIAM Journal on Numerical Analysis 38 (6), 1961-1985, 2001
742001
Coarsening mechanism for systems governed by the Cahn--Hilliard equation with degenerate diffusion mobility
S Dai, Q Du
Multiscale Modeling & Simulation 12 (4), 1870-1889, 2014
582014
Geometric evolution of bilayers under the functionalized Cahn–Hilliard equation
S Dai, K Promislow
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013
572013
Motion of interfaces governed by the Cahn--Hilliard equation with highly disparate diffusion mobility
S Dai, Q Du
SIAM Journal on Applied Mathematics 72 (6), 1818-1841, 2012
552012
Universal bounds on coarsening rates for mean-field models of phase transitions
S Dai, RL Pego
SIAM journal on mathematical analysis 37 (2), 347-371, 2005
402005
Convergence of phase-field free energy and boundary force for molecular solvation
S Dai, B Li, J Lu
Archive for Rational Mechanics and Analysis 227 (1), 105-147, 2018
312018
Competitive geometric evolution of amphiphilic interfaces
S Dai, K Promislow
SIAM Journal on Mathematical Analysis 47 (1), 347-380, 2015
262015
An upper bound on the coarsening rate for mushy zones in a phase-field model
S Dai, RL Pego
Interfaces and free boundaries 7 (2), 187-197, 2005
242005
Crossover in coarsening rates for the monopole approximation of the Mullins–Sekerka model with kinetic drag
S Dai, B Niethammer, RL Pego
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 140 (3 …, 2010
202010
On the shortening rate of collections of plane convex curves by the area-preserving mean curvature flow
S Dai
SIAM Journal on Mathematical Analysis 42 (1), 323-333, 2010
162010
On a mean field model for 1D thin film droplet coarsening
S Dai
Nonlinearity 23 (2), 325, 2010
102010
Weak solutions for the functionalized Cahn–Hilliard equation with degenerate mobility
S Dai, Q Liu, K Promislow
Applicable Analysis 100 (1), 1-16, 2021
92021
On nonnegative solutions for the Functionalized Cahn–Hilliard equation with degenerate mobility
S Dai, Q Liu, T Luong, K Promislow
Results in Applied Mathematics 12, 100195, 2021
82021
On the Ostwald ripening of thin liquid films
S Dai
Communications in Mathematical Sciences 9 (1), 143-160, 2011
72011
Codimension one minimizers of highly amphiphilic mixtures
S Dai, K Promislow
Journal of Computational and Applied Mathematics 388, 113320, 2021
42021
Minimizers for the Cahn--Hilliard energy functional under strong anchoring conditions
S Dai, B Li, T Luong
SIAM journal on applied mathematics 80 (5), 2299-2317, 2020
42020
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions
S Dai, T Luong
Nonlinear Differential Equations and Applications NoDEA 30 (4), 49, 2023
12023
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