VOL. 5 · NO. 2 | June 2007
 
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Regular Articles
Yan-Ze Peng, E.V. Krishnan
Commun. Math. Sci. 5 (2), 243-252, (June 2007)
KEYWORDS: The cubic-quintic nonlinear SchrÄodinger equation, the stationary wave solution, traveling wave solution, 35Q35, 35B20, 37K45
Kenneth H. Karlsen, Michel Rascle, Eitan Tadmor
Commun. Math. Sci. 5 (2), 253-265, (June 2007)
KEYWORDS: Nonlinear conservation laws, multi-dimensional, discontinuous fluxes, entropy bounds, weak solutions, existence, compensated compactness, 35L65, 35L80
B. Ducomet, A. Zlotnik
Commun. Math. Sci. 5 (2), 267-298, (June 2007)
KEYWORDS: stability, Crank-Nicolson finite-difference scheme, transparent boundary conditions, time-dependent Schrödinger equation, discrete convolution operator, Hardy spaces, 65M06, 65M12, 35Q40
No abstract available
Rada M. Weishäupl, Christian Schmeiser, Peter A. Markowich, Juan Pablo Borgna
Commun. Math. Sci. 5 (2), 299-312, (June 2007)
KEYWORDS: Gross-Pitaevskii equation, spectral decomposition, Fourier expansion, Hermite polynomials, 33C45, 35Q55, 65M70
Chi-Kwong Li, Ren-Cang Li, Qiang Ye
Commun. Math. Sci. 5 (2), 313-329, (June 2007)
KEYWORDS: Smallest nonzero eigenvalues, alignment matrix, overlapped partition, nonlinear manifold learning, dimensionality reduction, 65F15, 15A18‎
Komla Domelevo, Philippe Villedieu
Commun. Math. Sci. 5 (2), 331-353, (June 2007)
KEYWORDS: turbulence, fluid-particles interaction, Hydrodynamic limits, 35Q99, 35Q99
P. Degond, B. Wennberg
Commun. Math. Sci. 5 (2), 355-382, (June 2007)
KEYWORDS: Boltzmann equation, Fokker-Planck equation, thermostat, Hydrodynamic limit, High-Field limit, hyperbolic balance laws, mass and energy transfer, 82C70, 82C40, 82C21, 82B40, 82B21, 35J05, 76M28
Ren-Junn Hwang, Feng-Fu Su, Sheng-Hua Shiau
Commun. Math. Sci. 5 (2), 383-389, (June 2007)
KEYWORDS: modular multiplication, modular exponentiation, RSA cryptosystem, strong prime, 65Y20, 68Q99
David M. Ambrose, Nader Masmoudi
Commun. Math. Sci. 5 (2), 391-430, (June 2007)
KEYWORDS: vortex sheet, Surface tension, Kelvin-Helmholtz instability, well-posedness, 76B03, 76B07, 35Q35
R. E. Lee DeVille, Eric Vanden-Eijnden
Commun. Math. Sci. 5 (2), 431-466, (June 2007)
KEYWORDS: Stochastic resonance, self-induced stochastic resonance, Brownian ratchets, molecular motors, 60H10, 60F10, 92C10, 60G35, 34E13
Ansgar Jüngel, Jospa Pina Milišić
Commun. Math. Sci. 5 (2), 447-471, (June 2007)
KEYWORDS: quantum hydrodynamics, viscous quantum hydrodynamics, existence of stationary solutions, numerical dispersion, numerical viscosity, resonant tunnelling diode, semiconductors, 76Y05, 35J40, 65N05
Fast Communication
Benoït Perthame, Lenya Ryzhik
Commun. Math. Sci. 5 (2), 473-484, (June 2007)
KEYWORDS: Traveling waves, moderate dispersion, Korteweg de Vries equation, entropy solutions, dissipative-dispersive scalar conservation laws, 35B25, 35Q53, 35L67
No abstract available
Laurent Gosse
Commun. Math. Sci. 5 (2), 485-493, (June 2007)
KEYWORDS: quasi-periodic potential, impurity band, quasi-Bloch wave,, metallic impurity conduction, 81Q05, 81Q20
No abstract available
Eric Vanden-Eijnden
Commun. Math. Sci. 5 (2), 495-505, (June 2007)
KEYWORDS: multiscale integrators, HMM, projective integration methods, stiff ODEs, averaging theorems, 34A50, 65C30, 65L20, 60H35
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