Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg-Landau Model in Superconductivity. - Zhiming Chen; Shibin Dai (SIAM J. Numer. Anal., 2001)

On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients. - Zhiming Chen; Shibin Dai (SIAM J. Sci. Comput., 2002)

Universal Bounds on Coarsening Rates for Mean-Field Models of Phase Transitions. - Shibin Dai; Robert L. Pego (SIAM J. Math. Anal., 2005)

On the Shortening Rate of Collections of Plane Convex Curves by the Area-Preserving Mean Curvature Flow. - Shibin Dai (SIAM J. Math. Anal., 2010)

Motion of Interfaces Governed by the Cahn-Hilliard Equation with Highly Disparate Diffusion Mobility. - Shibin Dai; Qiang Du 001 (SIAM J. Appl. Math., 2012)

Coarsening Mechanism for Systems Governed by the Cahn-Hilliard Equation with Degenerate Diffusion Mobility. - Shibin Dai; Qiang Du 001 (Multiscale Model. Simul., 2014)

Competitive Geometric Evolution of Amphiphilic Interfaces. - Shibin Dai; Keith Promislow (SIAM J. Math. Anal., 2015)

Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. - Shibin Dai; Qiang Du 001 (J. Comput. Phys., 2016)

Minimizers for the Cahn-Hilliard Energy Functional under Strong Anchoring Conditions. - Shibin Dai; Bo Li 007; Toai Luong (SIAM J. Appl. Math., 2020)

Codimension one minimizers of highly amphiphilic mixtures. - Shibin Dai; Keith Promislow (J. Comput. Appl. Math., 2021)

Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn-Hilliard Equation. - Shibin Dai; Toai Luong; Xiang Ma (Multiscale Model. Simul., 2022)