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7 papers · 2 filters
Computer-assisted proofs for the many steady states of a chemotaxis model with local sensing
Maxime Breden, Maxime Payan
We study the steady states of a system of cross-diffusion equations arising from the modeling of chemotaxis with local sensing, where the motility is a decreasing function of the c…
Wellposedness of the cubic Gross-Pitaevskii equation with spatial white noise on
Pierre Mackowiak
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise potential, i.e. a cubic nonlinear Schr{ö}dinger equation with harmonic confining…
A holographic uniqueness theorem
Roman Novikov
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in . We consider a ray in thi…
Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure
Michael Goldman, Benoît Merlet
We continue the analysis of a family of energies penalizing oscillations in oblique directions: they apply to functions with and vanish when $…
Scattered wavefield in the stochastic homogenization regime
Josselin Garnier, Laure Giovangigli, Quentin Goepfert +1
In the context of providing a mathematical framework for the propagation of ultrasound waves in a random multiscale medium, we consider the scattering of classical waves (modeled b…
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors
Guido De Philippis, Michael Goldman, Berardo Ruffini
We consider a branched transport type problem which describes the magnetic flux through type-I superconductors in a regime of very weak applied fields. At the boundary of the sampl…