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5 papers · 2 filters
Existence and qualitative properties of travelling waves for an epidemiological model with mutations
Quentin Griette, Gaël Raoul
In this article, we are interested in a non-monotone system of logistic reaction-diffusion equations. This system of equations models an epidemics where two types of pathogens are…
Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
Charlotte Perrin, Ewelina Zatorska
We approximate a two--phase model by the compressible Navier-Stokes equations with a singular pressure term. Up to a subsequence, these solutions are shown to converge to a global…
Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Sergei A. Nazarov
We investigate a time harmonic acoustic scattering problem by a penetrable inclusion with compact support embedded in the free space. We consider cases where an observer can produc…
Energy release rate for non smooth cracks in planar elasticity
Jean-François Babadjian, Antonin Chambolle, Antoine Lemenant
This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density at the tip. First, the blow-up limit o…
Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem
Mikhail Isaev, Roman Novikov
We give effectivized Holder-logarithmic energy and regularity dependent stability estimates for the Gel'fand inverse boundary value problem in dimension . This effectivization…