VOL. 7 · NO. 1 | March 2009
 
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Regular Articles
Ioana Luca, Yih-Chin Tai, Chih-Yu Kuo
Commun. Math. Sci. 7 (1), 1-36, (March 2009)
KEYWORDS: Debris flow, solid-fluid mixture, curvilinear coordinates adapted to the topography, shallow avalanche equations, Mohr-Coulomb granular material, 76A20, 76D27, 76N20, 86A04
Rinaldo M. Colombo, Magali Mercier, Massimiliano D. Rosini
Commun. Math. Sci. 7 (1), 37-65, (March 2009)
KEYWORDS: Multi-dimensional scalar conservation laws, Kružkov entropy solutions, 35L65
No abstract available
Hongjie Dong, Dong Li
Commun. Math. Sci. 7 (1), 67-80, (March 2009)
KEYWORDS: Spatial analyticity, bootstrap, Navier-Stokes equations, 35Q30, 35Q35, 35B65
X. Li, J. Lowengrub, A. Ratz, A. Voigt
Commun. Math. Sci. 7 (1), 81-107, (March 2009)
KEYWORDS: partial differential equations, phase field approximation, complex geometry, diffuse interface, adaptive finite element methods, adaptive finite difference methods, multigrid methods, 35B40, 35K50, 35K57, 65Mxx, 82C24
Jie Liu, Jack Xin, Yingyong Qi, Fan-Gang Zheng
Commun. Math. Sci. 7 (1), 109-128, (March 2009)
KEYWORDS: Convolutive mixtures, compact partial inversion, L1 constrained decorrelation, blind source separation, 94A12, 65H10, 65C60
Mihai Bostan, José Antonio Carillo
Commun. Math. Sci. 7 (1), 129-141, (March 2009)
KEYWORDS: Vlasov-Maxwell equations, water-bag model, Conservation laws, 35A05, 78A35, 82D10
No abstract available
Maria Groppi, Alberto Rossani, Giampiero Spiga
Commun. Math. Sci. 7 (1), 143-163, (March 2009)
KEYWORDS: Reactive gas mixtures, shock wave structure, dispersion relation, Hydrodynamic limits, 82C40, 76V05, 76A02, 76L05
Ren-Hong Wang, Shao-Fan Wang
Commun. Math. Sci. 7 (1), 165-174, (March 2009)
KEYWORDS: Bivariate spline, Lagrange interpolation set, linear piecewise algebraic curve, interpolation set along piecewise algebraic curves, 41A05, 41A15, 41A63, 65D05, 65D07
Yi Y. Shi, Hong Qian
Commun. Math. Sci. 7 (1), 175-187, (March 2009)
KEYWORDS: random graph, degree distribution, connectivity, Giant component, 05C80, 05C40
Myeongju Chae, Seung-Yeal Ha, Hyung Ju Hwang
Commun. Math. Sci. 7 (1), 189-209, (March 2009)
KEYWORDS: Dispersion estimates, Initial-boundary value problem, Vlasov-Poisson system, uniform L1-stability, 35A05, 35B65, 78A35
Jean-Luc Guermond, Bojan Popov
Commun. Math. Sci. 7 (1), 211-238, (March 2009)
KEYWORDS: finite elements, best L1-approximation, viscosity solution, HJ equation, eikonal equation, 65N35, 65N22, 65F05, 35J05
Fast Communication
Kevin. K. Lin, Eric Shea-Brown, Lai-Sang Young
Commun. Math. Sci. 7 (1), 239-247, (March 2009)
KEYWORDS: Neural network dynamics, coupled oscillators, Random dynamical systems, 92B20, 82C32, 34C15, 37H99
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