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- Université Toulouse III - Paul SabatierFR936 papers
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72 papers · 1 filter
Existence and Non-existence of Fisher-KPP Transition Fronts
James Nolen, Jean-Michel Roquejoffre, Lenya Ryzhik +1
We consider Fisher-KPP-type reaction-diffusion equations with spatially inhomogeneous reaction rates. We show that a sufficiently strong localized inhomogeneity may prevent existen…
Weak solutions to lubrication equations in the presence of strong slippage
Georgy Kitavtsev, Philippe Laurencot, Barbara Niethammer
The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hydrophobyzed substr…
Localizing Estimates of the Support of Solutions of some Nonlinear Schrödinger Equations - The Stationary Case
Pascal Bégout, Jesús Ildefonso Díaz
The main goal of this paper is to study the nature of the support of the solution of suitable nonlinear Schrödinger equations mainly the compactness of the support and its spatial…
Some comments on projective quadrics subordinate to pseudo--Hermitian spaces
Arkadiusz Jadczyk
We study in some detail the structure of the projective quadric Q' obtained by taking the quotient of the isotropic cone in a standard pseudo-Hermitian space H_{p,q} with respect t…
Fluid Simulations with Localized Boltzmann Upscaling by Direct Simulation Monte-Carlo
Pierre Degond, Giacomo Dimarco
In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann equation with a finite volum…
A recombination algorithm for the decomposition of multivariate rational functions
Guillaume Chèze
In this paper we show how we can compute in a deterministic way the decomposition of a multivariate rational function with a recombination strategy. The key point of our recombinat…