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11 papers · 2 filters
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…
Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit
Pierre Degond, Hailiang Liu, Dominique Savelief +1
This paper analyzes various schemes for the Euler-Poisson-Boltzmann (EPB) model of plasma physics. This model consists of the pressureless gas dynamics equations coupled with the P…
A macroscopic model for a system of swarming agents using curvature control
Pierre Degond, Sébastien Motsch
In this paper, we study the macroscopic limit of a new model of collective displacement. The model, called PTWA, is a combination of the Vicsek alignment model and the Persistent T…
Global-in-time solutions for the isothermal Matovich-Pearson equations
Eduard Feireisl, Philippe Laurencot, Andro Mikelic
In this paper we study the Matovich-Pearson equations describing the process of glass fiber drawing. These equations may be viewed as a 1D-reduction of the incompressible Navier-St…