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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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10 papers · 2 filters
Confinement of dislocations inside a crystal with a prescribed external strain
Ilaria Lucardesi, Marco Morandotti, Riccardo Scala +1
A system of screw dislocations in an isotropic crystal undergoing antiplane shear is studied in the framework of linear elasticity. Imposing a suitable boundary condition for t…
Elasticae and inradius
Antoine Henrot, Othmane Mounjid
The elastic energy of a planar convex body is defined by $E(\Om)=\frac 12\,\int\_{\partial\Om} k^2(s)\,ds$where is the curvature of the boundary. In this paper we are intere…
Incompressible immiscible multiphase flows in porous media: a variational approach
Clément Cancès, Thomas Gallouët, Leonard Monsaingeon
We describe the competitive motion of (N + 1) incompressible immiscible phases within a porous medium as the gradient flow of a singular energy in the space of non-negative measure…
Differential operators on domains with conical points: precise uniform regularity estimates
Constantin Bacuta, Hengguang Li, Victor Nistor
We study families of strongly elliptic, second order differential operators with singular coefficients on domains with conical points. We obtain uniform estimates on their inverses…
Heat Kernels, Solvable Lie Groups, and the Mean Reverting SABR Stochastic Volatility Model
Siyan Zhang, Anna L. Mazzucato, Victor Nistor
We use commutator techniques and calculations in solvable Lie groups to investigate certain evolution Partial Differential Equations (PDEs for short) that arise in the study of sto…
Numerical investigation of the Free Boundary regularity for a degenerate advection-diffusion problem
Léonard Monsaingeon
We study the free boundary regularity of the traveling wave solutions to a degenerate advection-diffusion problem of Porous Medium type, whose existence was proved in \cite{Monsain…
Extinction and spreading of a species under the joint influence of climate change and a weak Allee effect: a two-patch model
Juliette Bouhours, Thomas Giletti
Many species see their range shifted poleward in response to global warming and need to keep pace in order to survive. To understand the effect of climate change on species ranges…
Sharp asymptotic profiles for singular solutions to an elliptic equation with a sign-changing nonlinearity
Florica C. Cîrstea, Frédéric Robert
Given the unit ball of (), we study smooth positive singular solutions to $-Δu=\frac{u^{2^\star(s)-1}}{|x|^s}-μu^…
On the Calderòn problem in periodic cylindrical domain with partial Dirichlet and Neumann data
Mourad Choulli, Yavar Kian, Eric Soccorsi
We consider the Calderòn problem in an infinite cylindrical domain, whose cross section is a bounded domain of the plane. We prove log-log stability in the determination of the iso…
Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map
Mourad Choulli, Yavar Kian, Eric Soccorsi
We study the inverse problem of identifying a periodic potential perturbation of the Dirichlet Laplacian acting in an infinite cylindrical domain, whose cross section is assumed to…