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7 papers · 2 filters
On the Inverse Problem for a Size-Structured Population Model
Benoit Perthame, Jorge P. Zubelli
We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population…
Global Solutions for the One-Dimensional Vlasov-Maxwell System for Laser-Plasma Interaction
José A. Carrillo, Simon Labrunie
We analyse a reduced 1D Vlasov--Maxwell system introduced recently in the physical literature for studying laser-plasma interaction. This system can be seen as a standard Vlasov eq…
The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains
Patrick Ciarlet, Beate Jung, Samir Kaddouri +2
This paper is the second part of a threefold article, aimed at solving numerically the Poisson problem in three-dimensional prismatic or axisymmetric domains. In the first part of…
The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains
Patrick Ciarlet, Beate Jung, Samir Kaddouri +2
This is the first part of a threefold article, aimed at solving numerically the Poisson problem in three-dimensional prismatic or axisymmetric domains. In this first part, the Four…
Numerical Analysis of Time-Dependent Galbrun Equation in an Infinite Duct
Kamel Berriri, A. -S. Bonnet-Ben Dhia, P. Joly
In this paper we are interested in the mathematical and numerical analysis of the time-dependent Galbrun equa- tion in a rigid duct. This equation models the acoustic propagation i…
Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests
Christophe Besse, Rémi Carles, Norbert Mauser +1
We consider the focusing nonlinear Schrödinger equation, in the -critical and supercritical cases. We investigate numerically the dependence of the blow-up time on a parameter…