Communications in Mathematical Sciences

Volume 2, Issue 2, June

Articles

Global Weak Solutions to the Relativistic Vlasov-Maxwell System Revisited
Gerhard Rein
pages 145 - 158, ps file , pdf file

Dynamic Bifurcation and Stability in the Rayleigh-Bénard Convection
Tian Ma and Shouhong Wang
pages 159 - 183, ps file , pdf file

Removing the Cell Resonance Error in the Multiscale Finite Element Method via a Petrov-Galerkin Formulation
Thomas Y. Hou, Xiao-Hui Wu, and Yu Zhang
pages 185 - 205, ps file , pdf file

Nearly Lipschitzean Divergence Free Tranport Propagates neither Continuity nor BV Regularity
Ferruccio Colombini, Tao Luo, and Jeffrey Rauch
pages 207 - 212, ps file , pdf file

Continuous Glimm-type Functionals and spreading of Rarefaction Waves
Philippe G. Lefloch and Konstantina Trivisa
pages 213 - 236, ps file , pdf file

G-Norm Properties of Bounded Variation Regularization
Stanley Osher and Otmar Scherzer
pages 237 - 254, ps file , pdf file

Multiscale Couplings in Prototype Hybrid Deterministic/Stochastic Systems: Part 1, Deterministic Closures
M. A. Katsoulakis, A.J. Majda, and A. Sopasakis
pages 255 - 294, ps file , pdf file

Analysis of 1 + 1 Dimensional Stochastic Models of Liquid Crystal Polymer Flows
Tiejun Li, Pingwen Zhang, and Xiang Zhou
pages 295 - 316, ps file , pdf file

Fast Communication

Burgers' Equation with Vanishing Hyper-Viscosity
Eitan Tadmor
pages 317 - 324, ps file , pdf file