output
19942026
most citedTraining Schrödinger's cat: quantum optimal control

779 citations

researchers with a paper here
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Showing 2007 · math.APShow all

3 papers · 2 filters

math.AP2007★ 23 cited

Conservation laws with vanishing nonlinear diffusion and dispersion

Philippe G. LeFloch, Roberto Natalini

We study the limiting behavior of the solutions to a class of conservation laws with vanishing nonlinear diffusion and dispersion terms. We prove the convergence to the entropy sol…

math.AP2007★ 21 cited

Long wave expansions for water waves over random topography

Anne de Bouard, Walter Craig, Oliver Díaz-Espinosa +2

In this paper, we study the motion of the free surface of a body of fluid over a variable bottom, in a long wave asymptotic regime. We assume that the bottom of the fluid region ca…

math.AP2007★ 34 cited

Boundary layers in weak solutions to hyperbolic conservation laws

K. T. Joseph, Philippe G. LeFloch

This paper is concerned with the initial-boundary value problem for a nonlinear hyperbolic system of conservation laws. We study the boundary layers that may arise in approximation…