VOL. 6 · NO. 1 | March 2008
 
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Regular Articles
Martin Burger, Yasmin Dolak-Struss, Christian Schmeiser
Commun. Math. Sci. 6 (1), 1-28, (March 2008)
KEYWORDS: chemotaxis models, asymptotic behavior, Interface motion, surface diffusion, 35Q80, 35R35, 92C17
Marc Boutounet, Laurent Chupin, Pascal Noble, Jean Paul Vila
Commun. Math. Sci. 6 (1), 29-55, (March 2008)
KEYWORDS: shallow water, arbitrary topography, capillary effects, 76B15, 35Q35, 86A05
Frédéric Lagoutière
Commun. Math. Sci. 6 (1), 57-70, (March 2008)
KEYWORDS: Hyperbolic equations, Numerical schemes, reconstruction schemes, entropy schemes, 35L65, 65M12
Houde Han, Zhongyi Huang, Dongsheng Yin
Commun. Math. Sci. 6 (1), 71-82, (March 2008)
KEYWORDS: Quasilinear elliptic equation, unbounded domain, artificial boundary condition, 65N30, 35J65
Lingyun Zhang, Hui Zhang, Pingwen Zhang
Commun. Math. Sci. 6 (1), 83-124, (March 2008)
KEYWORDS: global existence, Hookean dumbbell model, dilute polymer solutions, Navier-Stokes equation, Fokker-Planck equation, Rothe method, 76D03, 82C31, 82D60
No abstract available
Selim Esodoglu, Peter Smereka
Commun. Math. Sci. 6 (1), 125-148, (March 2008)
KEYWORDS: Level set, multiphase flow, variational, 65K10
Juan P. Borgna, Diego F. Rial
Commun. Math. Sci. 6 (1), 149-169, (March 2008)
KEYWORDS: numerical periodic nonlinear Schrödinger equation, Ground states, orbital stability, 34L15, 35J25, 35P30
M. Herty, C. Kirchner, S. Moutari, M. Rascle
Commun. Math. Sci. 6 (1), 171-187, (March 2008)
KEYWORDS: Aw–Rascle model, multicommodity flow models, traffic networks, 35LXX, 35L6
Weinan E, Jan Wehr, Jack Xin
Commun. Math. Sci. 6 (1), 189-197, (March 2008)
KEYWORDS: random Lagrangian functionals, Homogenization‎, divergence, extreme behavior, 76M50, 60H05, 76M35
No abstract available
Jean-Luc Guermond, Fabien Marpeau, Bojan Popov
Commun. Math. Sci. 6 (1), 199-216, (March 2008)
KEYWORDS: finite elements, best L1-approximation, viscosity solution, transport, Ill-posed problem, HJ equation, eikonal equation, 65N35, 65N22, 65F05, 35J05
A. V. Apkarian, A.Yu. Shahverdian
Commun. Math. Sci. 6 (1), 217-234, (March 2008)
KEYWORDS: dynamical networks, Self-organized criticality, avalanches, 05.45.Xt
No abstract available
Raz Kupferman, Claude Mangoubi, Edriss S. Titi
Commun. Math. Sci. 6 (1), 235-256, (March 2008)
KEYWORDS: Oldroyd-B model, local-in-time existence, Beale-Kato-Majda, 35B35, 35Q35
No abstract available
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