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5 papers · 1 filter
Small volume expansions for elliptic equations
Guillaume Bal, Olivier Pinaud
This paper analyzes the influence of general, small volume, inclusions on the trace at the domain's boundary of the solution to elliptic equations of the form $\nabla \cdot D^\eps…
New Asymptotic Profiles of Nonstationnary Solutions of the Navier-Stokes System
Lorenzo Brandolese, Francois Vigneron
We show that solutions of the non-stationnary incompressible Navier--Stokes system in () starting from mild decaying data behave as as a…
First integrals for non linear hyperbolic equations
Dikanaina Harrivel, Fréderic Hélein
Given a solution of a nonlinear wave equation on the flat space-time (with a real analytic nonlinearity), we relate its Cauchy data at two different times by nonlinear representati…
Two-dimensional incompressible viscous flow around a small obstacle
D. Iftimie, M. C. Lopes Filho, H. J. Nussenzveig Lopes
In this work we study the asymptotic behavior of viscous incompressible 2D flow in the exterior of a small material obstacle. We fix the initial vorticity and the circulation…
Uniqueness of the solution to the Vlasov-Poisson system with bounded density
G. Loeper
In this note, we show uniqueness of weak solutions to the Vlasov-Poisson system on the only condition that the macroscopic density defined by $ρ(t,x) = \int_{\Rd} f(t,x,ξ)dξ$ i…