VOL. 5 · NO. 1 | March 2007
Review Article
Tiejun Li, Pingwen Zhang
Commun. Math. Sci. 5 (1), 1-51, (March 2007) Open Access
KEYWORDS: Complex fluids, multiscale models, well-posedness, numerical analysis, Doi-Onsager equation, micro-macro models, 65C30, 76M35, 82D60, 60H35, 37N10
Regular Articles
Jianguo Shi, Ke Wang, Shu Wang
Commun. Math. Sci. 5 (1), 53-66, (March 2007) Open Access
KEYWORDS: Boussinesq approximation, Rayleigh-Bénard convection, initial layer, infinite Prandtl number limit, asymptotic expansions, Singular perturbation, classical energy methods, 35B25, 35B40, 35K57
No abstract available
C. Bourdarias, M. Gisclon, S. Junca
Commun. Math. Sci. 5 (1), 67-84, (March 2007) Open Access
KEYWORDS: boundary conditions, systems of conservation laws, Godunov scheme, entropies, composite waves, Liu entropy-condition, 35L65, 35L67, 35Q35
A. Unterreiter, S. Volkwein
Commun. Math. Sci. 5 (1), 85-111, (March 2007) Open Access
KEYWORDS: optimal control, quantum drift diffusion model, optimality conditions, 35J55, 49J20, 49K20
Hong Zhou, Hongyun Wang
Commun. Math. Sci. 5 (1), 113-132, (March 2007) Open Access
KEYWORDS: Nematic polymers, Kinetic theory, Maier-Saupe potential, Shear flow, Perturbation analysis, 35Kxx, 70Kxx, 82D60
Alexander Kurganov, Guergana Petrova
Commun. Math. Sci. 5 (1), 133-160, (March 2007) Open Access
KEYWORDS: Hyperbolic systems of conservation and balance laws, semi-discrete central-upwind schemes, Saint-Venant system of shallow water equations, 65M99, 35L65
Daniel G. Alfaro Vigo, Adolfo G. S. Correia, André Nachbin
Commun. Math. Sci. 5 (1), 161-185, (March 2007) Open Access
KEYWORDS: Inhomogeneous media, Asymptotic theory, Time reversal, 35L05, 60H15, 74J20
Gilles Carbou, Bernard Hanouzet
Commun. Math. Sci. 5 (1), 187-203, (March 2007) Open Access
KEYWORDS: Zero relaxation limit, $p$-system, Suliciu model, boundary conditions, 35L50, 35Q72, 35B25
Thaddeus J. Edens
Commun. Math. Sci. 5 (1), 205-232, (March 2007) Open Access
KEYWORDS: hyperbolic conservation laws, spectral analysis, 35L65, 76N15
Fast Communication
Qiang Du, Chun Liu, Rolf Ryham, Xiaoqiang Wang
Commun. Math. Sci. 5 (1), 233-242, (March 2007) Open Access
KEYWORDS: Euler number, topological index, implicitly defined surfaces, phase field, diffuse interface, interfacial energy, Surface tension, bending energy, vesicle membrane, 57M50, 74A50, 74S99, 92C05
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