VOL. 7 · NO. 2 | June 2009
 
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Regular Articles
Jean-Francois Berger, Bernard Ducomet, Heloise Goutte, Alexander Zlotnik
Commun. Math. Sci. 7 (2), 247-295, (June 2009)
KEYWORDS: elliptic equation, boundary value problem, eigenvalue problem, generalized time-dependent Schrödinger equation, semi-discrete method, Galerkin method, error bounds, 65N30, 65M60, 81V35
No abstract available
Seung-Yeal Ha, Jian-Guo Liu
Commun. Math. Sci. 7 (2), 297-325, (June 2009)
KEYWORDS: flocking, swarming, emergence, self-driven particles system, autonomous agents, Vlasov equation, Lyapunov functional, measure valued solution, Kantorovich-Rubinstein distance, 92C17, 82C22, 82C40
Björn Engquist, Lexing Ying
Commun. Math. Sci. 7 (2), 327-345, (June 2009)
KEYWORDS: N-body problems, Helmholtz equation, oscillatory kernels, fast multipole methods, multidirectional computation, multiscale methods, 65N38, 65R20
Matthias Ehrhardt, Jiguang Sun, Chunxiong Zheng
Commun. Math. Sci. 7 (2), 347-364, (June 2009)
KEYWORDS: Periodic arrays, Helmholtz equation, Sommerfeld-to-Sommerfeld scattering operator, dispersion diagram, 35B27, 65M99, 35Q60, 35J05
Olof Runborg
Commun. Math. Sci. 7 (2), 365-398, (June 2009)
KEYWORDS: Interface tracking, multiresolution analysis, normal meshes, fast algorithms, 65L20, ‎42C40, 65D10
No abstract available
Etienne Takou
Commun. Math. Sci. 7 (2), 399-410, (June 2009)
KEYWORDS: asymptotic behavior, geodesic completness, Einstein-Boltzmann, cosmological constant, 83xx
Jishan Fan, Hongjun Gao
Commun. Math. Sci. 7 (2), 411-421, (June 2009)
KEYWORDS: uniqueness, Weak solution, electro-kinetic fluid, 35Q30
Carole Le Guyader, Laurence Guillot
Commun. Math. Sci. 7 (2), 423-452, (June 2009)
KEYWORDS: Gradient Vector Flow, infinity Laplacian, AMLE, partial differential equations, viscosity solutions, segmentation, 35Q80, 68U10, 49L25, 35G25, 35D05, 35D10, 74G65
Seung-Yeal Ha, Kiseop Lee, Doron Levy
Commun. Math. Sci. 7 (2), 453-469, (June 2009)
KEYWORDS: Cucker-Smale model, flocking, kinetic models, stochastic systems, Particle systems, 34F05, 82C22, 60H10
Guido Cavallaro, Laurent Desvillettes, Valeria Ricci
Commun. Math. Sci. 7 (2), 471-488, (June 2009)
KEYWORDS: Average-ion models, microscopic models, rigorous asymptotics, comparison of solutions, 35Q40, 82D10, 37M05, 34C11
Fabio A.C.C. Chalub, Max O. Souza
Commun. Math. Sci. 7 (2), 489-502, (June 2009)
KEYWORDS: Gene fixation, evolutionary dynamics, Degenerate parabolic equations, boundary-coupled weak solutions, 95D15, 35K65
Fast Communications
Philippe Laurençot, Benoit Perthame
Commun. Math. Sci. 7 (2), 503-510, (June 2009)
KEYWORDS: Growth-fragmentation equations, Cell division, polymerisation process, size repartition, Convergence to equilibrium, temporal rate of convergence, 35B40, 45K05, 82D60, 92D25
Thinh Le, Qiang Du
Commun. Math. Sci. 7 (2), 511-520, (June 2009)
KEYWORDS: Microstructure evolution, three dimensional grain growth, grain volume kinetics, Von Neumann-Mullins formula, Herring condition, mean width, 74N15, 74N20, 51P05
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