VOL. 5 · NO. 4 | December 2007
 
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Regular Articles
Lukas Neumann, Christof Sparber
Commun. Math. Sci. 5 (4), 765-777, (December 2007)
KEYWORDS: Fokker-Planck operator, Bose-Einstein statistics, Fermi-Dirac statistics, long time behavior, 82C40, 82C10, 76R50, 82D37
Clemens Heitzinger, Christian Ringhofer, Siegfried Selberherr
Commun. Math. Sci. 5 (4), 779-788, (December 2007)
KEYWORDS: nonlinear Schrödinger equation, finite difference scheme, conservation law, variational symmetry, 35Q55, 35L65, 65M06
Caroline Lasser, Torben Swart, Stefan Teufel
Commun. Math. Sci. 5 (4), 789-814, (December 2007)
KEYWORDS: time-dependent Schrödinger system, eigenvalue crossing, trajectory surface hopping algorithm, 65Z05, 81-04
Niclas Bernhoff, Alexander Bobylev
Commun. Math. Sci. 5 (4), 815-832, (December 2007)
KEYWORDS: Boltzmann equation, discrete velocity models, shock waves, 82C40, 76P05
Daniel Hodyss, Terrence R. Nathan
Commun. Math. Sci. 5 (4), 833-849, (December 2007)
KEYWORDS: Linear instability, coupled wave, long Rossby waves, streamwise varying, 76B65, 76E09, 76E15, 76E20
Etienne Emmrich, Olaf Weckner
Commun. Math. Sci. 5 (4), 851-864, (December 2007)
KEYWORDS: linear elasticity, non-local theory, peridynamic equation, Navier equation, 35Q72, 74B05, 74B99, 74H10, 74H20, 74H25
Philippe G. LeFloch, Mai Duc Thanh
Commun. Math. Sci. 5 (4), 865-885, (December 2007)
KEYWORDS: shallow water, conservation law, Riemann problem, discontinuous topography, 35L65, 76N10, 76L05
Pierre Degond, Samy Gallego, Florian Mehats
Commun. Math. Sci. 5 (4), 887-908, (December 2007)
KEYWORDS: density operator, quantum Liouville equation, quantum entropy, quantum local equilibrium, quantum hydrodynamics, quantum energy transport, commutators, gauge invariance, 82C10, 82C70, 82D37, 81Q05, 81S05, 81S30, 81V70
D. Hu, T. Lelièvre
Commun. Math. Sci. 5 (4), 909-916, (December 2007)
KEYWORDS: a priori estimate, Oldroyd-B, FENE-P, Entropy, conformation tensor, 35B45, 35Q35, 76A05
Guanghua Ji, Qi Wang, Pingwen Zhang, Hongyun Wang, Hong Zhou
Commun. Math. Sci. 5 (4), 917-950, (December 2007)
KEYWORDS: nematic liquid crystal, Kinetic theory, Polymers, magnetic field, electric field, bifurcation, steady state, phase transition, polarity, stability, 45K05, 70K50, 82B26, 82B27
René Pinnau
Commun. Math. Sci. 5 (4), 951-969, (December 2007)
KEYWORDS: radiative heat transfer, $SP_{n}$-approximation, optimal boundary control, first-order optimality system, analysis, Adjoints, 35K55, 49K20, 80A20
Anton Arnold, Jean-Philippe Bartier, Jean Dolbeault
Commun. Math. Sci. 5 (4), 971-979, (December 2007)
KEYWORDS: functional inequalities, Poincaré inequality, Logarithmic Sobolev inequality, spectral gap, hypercontractivity, ‎39B62, 46E35, 35K10, 60J60, 60F10
M.A. Iwen, A. Gilbert, M. Strauss
Commun. Math. Sci. 5 (4), 981-998, (December 2007)
KEYWORDS: sub-linear time algorithms, Fourier transforms, compressive sensing, 65T50, 68W40, 68W25, 65T40
Carlos J. García-Cervera, Jianfeng Lu, Weinan E
Commun. Math. Sci. 5 (4), 999-1026, (December 2007)
KEYWORDS: sub-linear scaling algorithms, asymptotics, DFT-continuum approximation, density functional theory, 35Q40, 74Q05, 34E05
Fast Communications
Weiqing Ren
Commun. Math. Sci. 5 (4), 1027-1037, (December 2007)
KEYWORDS: multiscale modeling, Complex fluids, molecular dynamics, fiber bundle, 76M25, 65C35, 65Z05
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