Communications in Mathematical Sciences

Volume 6, Number 1

March 2008

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Regular Articles

Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensionsMartin Burger, Yasmin Dolak-Struss, and Christian Schmeiser; 1 - 28
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Shallow water viscous flows for arbitrary topopgraphyMarc Boutounet, Laurent Chupin, Pascal Noble, and Jean Paul Vila; 29 - 55
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Stability of reconstruction schemes for scalar hyperbolic conservations lawsFrédéric Lagoutière; 57 - 70
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Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domainsHoude Han, Zhongyi Huang, and Dongsheng Yin; 71 - 82
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Global existence of weak solutions to the regularized Hookean dumbbell modelLingyun Zhang, Hui Zhang, and Pingwen Zhang; 83 - 124
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A variational formulation for a level set representation of multiphase flow and area preserving curvature flowSelim Esodoglu and Peter Smereka; 125 - 148
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Orbital stability of numerical periodi nonlinear Schrödinger equationJuan P. Borgna and Diego F. Rial; 149 - 169
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Multicommodity flows on road networksM. Herty, C. Kirchner, S. Moutari, and M. Rascle; 171 - 187
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Breakdown of homogenization for the random Hamilton-Jacobi equationsWeinan E, Jan Wehr, and Jack Xin; 189 - 197
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A fast algorithm for solving first-order PDEs by L1-minimizationJean-Luc Guermond, Fabien Marpeau, and Bojan Popov; 199 - 216
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Avalanches in networks of weakly coupled phase-shifting rotatorsA. V. Apkarian and A.Yu. Shahverdian; 217 - 234
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A Beale-Kato-Madja breakdown criterion for an Oldroyd-B fluid in the creeping flow regimeRaz Kupferman, Claude Mangoubi, and Edriss S. Titi; 235 - 256
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