Special Issue on the Occasion of Andrew Majda's Sixtieth Birthday, Part I
VOL. 8 · NO. 1 | March 2010
Front Matter
Shi Jin, Panagiotis Souganidis, Eric Vanden-Eijnden, Xiaoming Wang
Commun. Math. Sci. 8 (1), I-II, (March 2010) Open Access
No abstract available
Yanzhao Cao, Max Gunzburger, Fei Hua, Xiaoming Wang
Commun. Math. Sci. 8 (1), 1-25, (March 2010) Open Access
KEYWORDS: Stokes and Darcy system, fluid and porous media flow, Beavers-Joseph interface boundary condition, well-posedness, time discretization, finite element approximation, 35Q35, 65M60, 76D07, 76S05, 86A05
John Harlim, Andrew J. Majda
Commun. Math. Sci. 8 (1), 27-43, (March 2010) Open Access
KEYWORDS: Kalman filter, Lorenz-96 model, filter divergence, 93E11, 62M20, 62L12, 65C20
Andrea L. Bertozzi, Jeremy Brandman
Commun. Math. Sci. 8 (1), 45-65, (March 2010) Open Access
KEYWORDS: Biological aggregation, 2D vorticity equation, finite-time blow-up, non-local PDE, 35A07, 35B60, 35D05, 35Q35, 35R05
No abstract available
Boris Gershgorin, Andrew Majda
Commun. Math. Sci. 8 (1), 67-92, (March 2010) Open Access
KEYWORDS: nonlinear model, slow-fast system, extended Kalman filter, fast forcing, 34A05, 93E11
Stanley Osher, Yu Mao, Bin Dong, Wotao Yin
Commun. Math. Sci. 8 (1), 93-111, (March 2010) Open Access
KEYWORDS: $ℓ^1$-minimization, basis pursuit, compressed sensing, sparse denoising, iterative regularization, 49M99, 90-08, 65K10
No abstract available
Andrew J. Majda, Yulong Xing
Commun. Math. Sci. 8 (1), 113-134, (March 2010) Open Access
KEYWORDS: Squall lines, multi-scale asymptotics, Taylor-Goldstein equations, upscale convective momentum transport, 65T50, 76F55, 93A30
Andrew Majda, Xiaoming Wang
Commun. Math. Sci. 8 (1), 145-172, (March 2010) Open Access
KEYWORDS: Linear response theory, fluctuation-dissipation theory, time periodic coefficients, quasi-Gaussian and Gaussian approximation, climate response, information content, Relative entropy, 37N10, 82C31, 86A99, 60H10, 34C28, 94A15
Peter Constantin, Andrej Zlatoš
Commun. Math. Sci. 8 (1), 173-186, (March 2010) Open Access
KEYWORDS: Onsager equation, Free energy, zero temperature limit, metric space, 82D30, 58D99
Boualem Khouider, Joseph Biello, Andrew J. Majda
Commun. Math. Sci. 8 (1), 187-216, (March 2010) Open Access
KEYWORDS: stochastic modeling, Markov chains, tropical convection, clouds, convective parametrization, climate modeling, CAPE, moisture, 65C05, 65C20, 65C40, 65L05, 86A10, 76M35, 76R99
Esteban G. Tabak, Eric Vanden-Eijnden
Commun. Math. Sci. 8 (1), 217-233, (March 2010) Open Access
KEYWORDS: Density estimation, machine learning, maximum likelihood, 34A50, 65C30, 65L20, 60H35
Jian-Guo Liu, Robert Pego
Commun. Math. Sci. 8 (1), 235-251, (March 2010) Open Access
KEYWORDS: Time-dependent incompressible viscous flow, Stokes pressure, Leray projection, projection method, pressure Poisson equation, 76W05, 76D03
Shi Jin, Kyle A. Novak
Commun. Math. Sci. 8 (1), 253-275, (March 2010) Open Access
KEYWORDS: Multiscale method, semiclassical limit, Liouville, Coherent, quantum barrier, 65M06, 65Z05, 81Q20, 81S30, 81T80
Boris Levant, Fabio Ramos, Edriss S. Titi
Commun. Math. Sci. 8 (1), 277-293, (March 2010) Open Access
KEYWORDS: Navier-Stokes-Voigt equations, Navier-Stokes-Voight equations, Navier-Stokes equations, regularization of the Navier-Stokes equations, Turbulence models, viscoelastic models, Shell models, dynamic models, 35Q30, 35Q35, 76F20, 76F55
Olivier Pauluis, Jörg Schumacher
Commun. Math. Sci. 8 (1), 295-319, (March 2010) Open Access
KEYWORDS: Convection, atmospheric dynamics, clouds, 76F35, 76F65, 76R10, 86A15
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