Shibin Dai
Title
Cited by
Cited by
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
1022002
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
652001
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
442013
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
412016
Weak solutions for the Cahn–Hilliard equation with degenerate mobility
S Dai, Q Du
Archive for Rational Mechanics and Analysis 219 (3), 1161-1184, 2016
352016
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
342012
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
342005
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
322014
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
222005
Competitive geometric evolution of amphiphilic interfaces
S Dai, K Promislow
SIAM Journal on Mathematical Analysis 47 (1), 347-380, 2015
182015
Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag
S Dai, B Niethammer, RL Pego
Proceedings. Section A, Mathematics-The Royal Society of Edinburgh 140 (3), 553, 2010
182010
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
152010
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
142018
On a mean field model for 1D thin film droplet coarsening
S Dai
Nonlinearity 23 (2), 325, 2010
72010
On the Ostwald ripening of thin liquid films
S Dai
Communications in Mathematical Sciences 9 (1), 143-160, 2011
62011
Weak solutions for the functionalized Cahn–Hilliard equation with degenerate mobility
S Dai, Q Liu, K Promislow
Applicable Analysis, 1-16, 2019
22019
On nonnegative solutions for the Functionalized Cahn-Hilliard equation with degenerate mobility
S Dai, Q Liu, T Luong, K Promislow
arXiv preprint arXiv:2010.04659, 2020
2020
Codimension one minimizers of highly amphiphilic mixtures
S Dai, K Promislow
arXiv preprint arXiv:2009.02821, 2020
2020
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
2020
Rigorous derivation of a mean field model for the Ostwald ripening of thin films
S Dai
Communications in Mathematical Sciences 18 (2), 293-320, 2020
2020
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Articles 1–20