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Showing 2016 · math.APShow all

10 papers · 2 filters

math.AP2016★ 4 cited

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…

math.AP2016

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…

math.AP2016★ 17 cited

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…

math.AP2016★ 9 cited

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…

math.AP2016★ 2 cited

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…

math.AP2016★ 4 cited

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…

math.AP2016★ 7 cited

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…

math.AP2016★ 2 cited

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^…

math.AP2016★ 9 cited

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…

math.AP2016★ 7 cited

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…