Sommaire du Fascicule no. 1

Modeling shallow gravity-driven solid-fluid mixtures over arbitrary topography

Luca, Ioana ; Tai, Yih-Chin ; Kuo, Chih-Yu

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p. 1-36

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Stability and total variation estimates on general scalar balance laws

Colombo, Rinaldo M. ; Mercier, Magali ; Rosini, Massimiliano D.

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p. 37-65

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Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations

Dong, Hongjie ; Li, Dong

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p. 67-80

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Solving pdes in complex geometries

Li, X. ; Lowengrub, J. ; Ratz, A. ; Voigt, A.

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p. 81-107

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A time domain algorithm for blind separation of convolutive sound mixtures and L1 constrainted minimization of cross correlations

Liu, Jie ; Xin, Jack ; Qi, Yingyong ; Zheng, Fan-Gang

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p. 109-128

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Global solutions for the one dimensional water-bag model

Bostan, Mihai ; Carillo, José Antonio

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p. 129-141

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Fluid-dynamc model equations for a gas with slow reversible biomolecular reactions

Groppi, Maria ; Rossani, Alberto ; Spiga, Giampiero

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p. 143-163

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Lagrange interpolation set along linear piecewise algebraic curves

Wang, Ren-Hong ; Wang, Shao-Fan

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p. 165-174

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On the degree properties of generalized random graphs

Shi, Yi Y. ; Qian, Hong

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p. 175-187

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Dispersion and uniform L1-stability estimates of the Vlasov-Poisson system in a half space

Chae, Myeongju ; Ha, Seung-Yeal ; Hwang, Hyung Ju

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p. 189-209

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An optimal L1-minimization algorithm for stationary Hamilton-Jacobi equations

Guermond, Jean-Luc ; Popov, Bojan

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p. 211-238

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Reliability of layered neural oscillator networks

Lin, Kevin. K. ; Shea-Brown, Eric ; Young, Lai-Sang

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p. 239-247

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On one version of a semidiscrete Galerkin method for PDE problems involving a generalized 2D Hamiltonian operator

Berger, Jean-Francois ; Ducomet, Bernard ; Goutte, Heloise ; Zlotnik, Alexander

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p. 247-295

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A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

Ha, Seung-Yeal ; Liu, Jian-Guo

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p. 297-325

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A fast directional algorithm for high frequency acoustic scattering in two dimensions

Engquist, Björn ; Ying, Lexing

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p. 327-345

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Evaluation of scattering operators for semi-infinite periodic arrays

Ehrhardt, Matthias ; Sun, Jiguang ; Zheng, Chunxiong

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p. 347-364

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Fast interface tracking via a multiresolution representation of curves and surfaces

Runborg, Olof

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p. 365-398

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Global properties of the solutions to the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time

Takou, Etienne

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p. 399-410

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Uniqueness of weak solutions to a model of electro-kinetic fluid

Fan, Jishan ; Gao, Hongjun

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p. 411-421

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Extrapolation of vector fields using the infinity Laplacian and with applications to image segmentation

Le Guyader, Carole ; Guillot, Laurence

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p. 423-452

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Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system

Ha, Seung-Yeal ; Lee, Kiseop ; Levy, Doron

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p. 453-469

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About the link between the detailed description of transitions in an ion and the average-ion models

Cavallaro, Guido ; Desvillettes, Laurent ; Ricci, Valeria

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p. 471-488

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A non-standard evolution problem arising in population genetics

Chalub, Fabio A.C.C. ; Souza, Max O.

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p. 489-502

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Exponential decay for the growth-fragmentation/cell-division equations

Laurençot, Philippe ; Perthame, Benoit

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p. 503-510

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A generalization of the three-dimensional MacPherson-Srolovitz formula

Le, Thinh ; Du, Qiang

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p. 511-520

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Linear dispersive decay estimates for vortex sheets with surface tension

Spirn, Daniel ; Wright, J. Douglas

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p. 521-547

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Sharp contrast in nonlocal inequality and its applications to nonlocal Schrödinger equation with harmonic potential

Chen, Jianqing ; Guo, Boling ; Han, Yongqian

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p. 549-570

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Linear and nonlinear exponential stability of traveling waves for hyperbolic systems with relaxation

Li, Tong ; Wu, Yaping

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p. 571-593

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A reversible multiscale integration method

Ariel, Gil ; Engquist, Bjorn ; Tsai, Richard

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p. 595-610

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Multiplicity of singular values for tensors

Chang, K. C. ; Zhang, Tan

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p. 611-625

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On the formation of shocks to the compressible Euler equations

Chae, Dongho ; Ha, Seung-Yeal

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p. 627-634

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An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation

Gamba, Irene ; Gualdani, Maria Pia ; Sharp, Richard W.

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p. 635-664

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Exact series reconstruction in photoacoustic tomography with circular integrating detectors

Zangerl, Gerhard ; Scherzer, Otmar ; Haltmeier , Markus

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p. 665-678

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On the derivation of the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and validation of the KZK-approximation for viscous and non-viscous thermo-elastic media

Rozanova-Pierrat, Anna

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p. 679-718

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A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites

Novikov, Alexei

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p. 719-740

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A new median formula with applications to PDE based denoising

Li, Yingying ; Osher, Stanley

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p. 741-753

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Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems

Lin, Lin ; Lu, Jianfeng ; Ying, Lexing ; Car, Roberto ; E, Weinan

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p. 755-777

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Rigorous derivation of the X-Z semigeostrophic equations

Brenier, Yann ; Cullen, Mike

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p. 779-784

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Numerical averaging of non-divergence structure elliptic operators

Froese, Brittany D. ; Oberman, Adam M.

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p. 785-804

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Estimating eddy diffusivities from noisy Lagrangian observations

Cotter, C.J. ; Pavliotis, G. A.

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p. 805-838

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Scaling limit of a discrete prion dynamics model

Doumic, Marie ; Goudon, Thierry ; Lepoutre, Thomas

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p. 839-865

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Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements

Banaji, Murad ; Craciun, Gheorghe

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p. 867-900

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Kinetic models of conservative economies with wealth redistribution

Bisi, Marzia ; Spiga, Giampiero ; Toscani, Giuseppe

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p. 901-916

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Vortices in two-dimensional nematics

Fatkullin, Ibrahim ; Slastikov, Valeriy

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p. 917-938

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Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids

Zhao, Liyun ; Wu, Hao ; Huang, Haiyang

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p. 939-962

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On the compactness for two dimensional scalar conservation law with discontinuous flux

Aleksić, Jelena ; Mitrovic, Darko

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p. 963-971

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Gaussian beams summation for the wave equation in a convex domain

Bougacha, Salma ; Akian, Jean-Luc ; Alexandre, Radjesvarane

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p. 973-1008

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A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface

Teigen, Knut Erik ; Li, Xiangrong ; Lowengrub, John ; Wang, Fan ; Voigt, Axel

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p. 1009-1037

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A constrained string method and its numerical analysis

Du, Qiang ; Zhang, Lei

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p. 1039-1051

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Exact traveling wave solutions for some nonlinear evolution equations

Lee, Jonu ; Sakthivel, Rathinasamy

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p. 1053-1062

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Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem

Doyen, D. ; Ern, A.

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p. 1063-1072

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Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators

Hoang, N. S. ; Ramm, A. G.

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p. 1073-1079

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