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math.AP2010★ 68 cited

Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field

Emmanuel Frénod, Eric Sonnendrücker

Motivated by the difficulty arising in the numerical simulation of the movement of charged particles in presence of a large external magnetic field, which adds an additional time s…

math.AP2010★ 19 cited

Self-similarity in a General Aggregation-Fragmentation Problem ; Application to Fitness Analysis

Vincent Calvez, Marie Doumic Jauffret, Pierre Gabriel

We consider the linear growth and fragmentation equation with general coefficients. Under suitable conditions, the first eigenvalue represents the asymptotic growth rate of solutio…

math.AP2010★ 6 cited

On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis

Francois James, Nicolas Vauchelet

The hydrodynamic limit of a one dimensional kinetic model describing chemotaxis is investigated. The limit system is a conservation law coupled to an elliptic problem for which the…

math.AP2010★ 1 cited

On semi-Classical Questions Related to Signal Analysis

Taous-Meriem Laleg-Kirati, Bernard Helffer

This study explores the reconstruction of a signal using spectral quantities associated with some self-adjoint realization of an h-dependent Schrödinger operator when the parameter…

math.AP2010★ 1 cited

Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

Alexandre Janon, Maëlle Nodet, Clémentine Prieur

We present a reduced basis offline/online procedure for viscous Burgers initial boundary value problem, enabling efficient approximate computation of the solutions of this equation…

math.AP2010

High frequency behaviour of the Maxwell-Bloch model with relaxations: convergence to the Schrödinger-Boltzmann system

François Castella, Eric Dumas

We study the Maxwell-Bloch model, which describes the propagation of a laser through a material and the associated interaction between laser and matter (polarization of the atoms t…