Institut Fourier

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20022011

most citedSimulating Magnetohydrodynamical Flow with Constrained Transport and Adaptive Mesh Refinement; Algorithms & Tests of the AstroBEAR Code

116 citations

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Showing 2010 · math.APShow all

3 papers · 2 filters

math.AP2010★ 8 cited

Singularities of the wave trace near cluster points of the length spectrum

Yves Colin de Verdière, Victor Guillemin, David Jerison

Let $- λ_{j}$ be the eigenvalues of the Laplace operator on the unit disk with Dirichlet conditions. The distribution $h (t) = \sum_{j} e^{i λ_{j} t}$ is the trace of the solution oper…

math.AP2010

Local energy decay for several evolution equations on asymptotically euclidean manifolds

Jean-Francois Bony, Dietrich Hafner

Let P be a long range metric perturbation of the Euclidean Laplacian on R^d, d>1. We prove local energy decay for the solutions of the wave, Klein-Gordon and Schroedinger equations…

math.AP2010

Asymptotic profiles for a travelling front solution of a biological equation

Guillemette Chapuisat, Romain Joly

We are interested in the existence of depolarization waves in the human brain. These waves propagate in the grey matter and are absorbed in the white matter. We consider a two-dime…