VOL. 7 · NO. 4 | December 2009
 
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Regular Articles
Brittany D. Froese, Adam M. Oberman
Commun. Math. Sci. 7 (4), 785-804, (December 2009)
KEYWORDS: Homogenization‎, partial differential equations, elliptic partial differential equations, Diffusions, finite difference methods, 35J15, 35B27, 65L12
C.J. Cotter, G. A. Pavliotis
Commun. Math. Sci. 7 (4), 805-838, (December 2009)
KEYWORDS: Parameter estimation, Stochastic differential equations, multiscale analysis, Lagrangian observations, subsampling, oceanic transport, 62M05, 86A05, 86A10, 60H10, 60H30, 62F12
Marie Doumic, Thierry Goudon, Thomas Lepoutre
Commun. Math. Sci. 7 (4), 839-865, (December 2009)
KEYWORDS: Aggregation fragmentation equations, asymptotic analysis, polymerization process, 35B45, 45K05, 92D25
Murad Banaji, Gheorghe Craciun
Commun. Math. Sci. 7 (4), 867-900, (December 2009)
KEYWORDS: Interaction networks, chemical reactions, Injectivity, SR graph, network structure, multiple equilibria, 05C50, 05C38, 34C99, 15A15
Marzia Bisi, Giampiero Spiga, Giuseppe Toscani
Commun. Math. Sci. 7 (4), 901-916, (December 2009)
KEYWORDS: Wealth and income distributions, kinetic models, Boltzmann equation, taxation and redistribution, 91B60, 82C40, 35B40
Ibrahim Fatkullin, Valeriy Slastikov
Commun. Math. Sci. 7 (4), 917-938, (December 2009)
KEYWORDS: Liquid crystals, nematics, spatial patterns, vortices, 82B21, 82B26, 82D30
Liyun Zhao, Hao Wu, Haiyang Huang
Commun. Math. Sci. 7 (4), 939-962, (December 2009)
KEYWORDS: Navier-Stokes equation, Cahn-Hilliard equation, Convergence to equilibrium, Lojasiewicz-Simon approach, 35Q35, 35K55, 76D05
Jelena Aleksić, Darko Mitrovic
Commun. Math. Sci. 7 (4), 963-971, (December 2009)
KEYWORDS: Scalar conservation law, discontinuous flux, Vanishing viscosity, regularized flux, H-measures, 35L65, 35L80
No abstract available
Salma Bougacha, Jean-Luc Akian, Radjesvarane Alexandre
Commun. Math. Sci. 7 (4), 973-1008, (December 2009)
KEYWORDS: wave equation, high frequency solutions, Gaussian beams summation, reflection at the boundary, 35L05, 35L20, 81S30, 41A60
No abstract available
Knut Erik Teigen, Xiangrong Li, John Lowengrub, Fan Wang, Axel Voigt
Commun. Math. Sci. 7 (4), 1009-1037, (December 2009)
KEYWORDS: partial differential equations, diffuse interface, interfacial dynamics, complex geometry, multigrid, adaptive grid, finite difference, multiphase, adsorption, desorption, 35Q35, 35K05, 35K57, 65Z05, 65M06, 65M50, 65M55, 76Txx, 82C24
Fast Communications
Qiang Du, Lei Zhang
Commun. Math. Sci. 7 (4), 1039-1051, (December 2009)
KEYWORDS: Constrained string method, minimum energy path, saddle point, constrained optimization, Lagrange multiplier, augmented Lagrangian, 65K10, 65M12, 65Z05
Jonu Lee, Rathinasamy Sakthivel
Commun. Math. Sci. 7 (4), 1053-1062, (December 2009)
KEYWORDS: traveling wave solutions, modified tanh-coth method, nonlinear evolution equations, Riccati equations, 35Q51, 35C05, 35C07, 35C08
D. Doyen, A. Ern
Commun. Math. Sci. 7 (4), 1063-1072, (December 2009)
KEYWORDS: Dynamic Signorini problem, unilateral contact, visco-elastic material, modified mass method, finite elements, convergence, compactness, 65P99, 65N30, 46N40, 74M15, 74S05
N. S. Hoang, A. G. Ramm
Commun. Math. Sci. 7 (4), 1073-1079, (December 2009)
KEYWORDS: Dynamical systems method (DSM), nonlinear operator equations, monotone operators, 47J05, 47J06, 47J35
No abstract available
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