Shibin Dai

Research Interests

1. Shibin Dai, On a mean field model for 1D thin film droplet coarsening, Nonlinearity, to appear (2009).[pdf]
2. Shibin Dai, Barbara Niethammer and Robert L. Pego, Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag, Proc. Royal Soc. Edinburgh, to appear (2009). [pdf]
3. Shibin Dai, On the shortening rate of collections of plane convex curves by the area-preserving mean curvature flow, SIAM. J. Math. Anal., submitted, under minor revision.[pdf] [UCLA CAM report 08-25 (April 2008) ]
4. Shibin Dai and Robert L. Pego, Universal bounds on coarsening rates for mean field models of phase transitions, SIAM J. Math. Anal. Vol.37, No.2 (2005) 347-371. [pdf][CMU CNA report 04-CNA-017]
5. Shibin Dai and Robert L. Pego, An upper bound on the coarsening rate for mushy zones in a phase field model, Interfaces and Free Boundaries, 7 (2005) 187-197. [pdf]
   
6. Zhiming Chen and Shibin Dai, On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients, SIAM J. Sci. Comput. 24 (2002), 443-462.[pdf]
   
7. Zhiming Chen and Shibin Dai, Adaptive Galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity, SIAM J. Numer. Anal. Vol.38, No.6 (2001), 1961-1985 . [pdf]