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most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2008 · math.APShow all

8 papers · 2 filters

math.AP2008

Level set approach for fractional mean curvature flows

Cyril Imbert

This paper is concerned with the study of a geometric flow whose law involves a singular integral operator. This operator is used to define a non-local mean curvature of a set. Mor…

math.AP2008★ 2 cited

On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves

Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut

We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of the minimizing travelling waves for the two-dimensional Gross-Pitaevskii equati…

math.AP2008★ 3 cited

Constructive solution of a bilinear optimal control problem for a Schrödinger equation

Lucie Baudouin, Julien Salomon

Often considered in numerical simulations related to the control of quantum systems, the so-called monotonic schemes have not been so far much studied from the functional analysis…

math.AP2008★ 61 cited

Orbital stability of the black soliton to the Gross-Pitaevskii equation

Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut +1

We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = þ\big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional Gross-Pitaevskii equation, with respec…

math.AP2008

Cauchy problem for viscous shallow water equations with a term of capillarity

Boris Haspot

In this article, we consider the compressible Navier-Stokes equation with density dependent viscosity coefficients and a term of capillarity introduced by Coquel et al in \cite{5CR…

math.AP2008★ 12 cited

Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces

Boris Haspot

This work is devoted to the global existence of weak solution for a general isothermal model of capillary fluids derived by C. Rohde, which can be used as a phase transition model.…