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math.AP2014

On a semilinear elliptic boundary value problem arising in cardiac electrophysiology

Elena Beretta, M. Cristina Cerutti, Andrea Manzoni +1

In this paper we provide a representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction in a simplified {\em mon…

math.AP2014★ 2 cited

Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves

Elena Beretta, Maarten V. de Hoop, Elisa Francini +2

We consider the inverse problem of determining the Lamé parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We pro…

math.AP2014★ 25 cited

On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: Regularity and geometric results

Graziano Crasta, Ilaria Fragala'

Given an open bounded subset of , which is convex and satisfies an interior sphere condition, we consider the pde in , subject to the homog…

math.AP2014

Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation

Elena Beretta, Maarten V. de Hoop, Elisa Francini +1

We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrah…

math.AP2014★ 16 cited

Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non flat interfaces

Elena Beretta, Elisa Francini, Antonino Morassi +2

We consider the inverse problem of determining the Lamé moduli for a piecewise constant elasticity tensor , where is a known…

math.AP2014★ 17 cited

Boundary Estimates for Certain Degenerate and Singular Parabolic Equations

Benny Avelin, Ugo Gianazza, Sandro Salsa

We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic -Laplacian. Assuming that such s…

math.AP2014★ 4 cited

Smooth solutions of the Euler and Navier-Stokes equations from the a posteriori analysis of approximate solutions

Carlo Morosi, Livio Pizzocchero

The main result of [C. Morosi and L. Pizzocchero, Nonlinear Analysis, 2012] is presented in a variant, based on a C^infinity formulation of the Cauchy problem; in this approach, th…

math.AP2014★ 8 cited

A qualitative explanation of the origin of torsional instability in suspension bridges

E. Berchio, F. Gazzola

We consider a mathematical model for the study of the dynamical behavior of suspension bridges. We show that internal resonances, which depend on the bridge structure only, are the…

math.AP2014★ 3 cited

On the Cahn-Hilliard-Brinkman system

Stefano Bosia, Monica Conti, Maurizio Grasselli

We consider a diffuse interface model for phase separation of an isothermal incompressible binary fluid in a Brinkman porous medium. The coupled system consists of a convective Cah…

math.AP2014★ 4 cited

Large order Reynolds expansions for the Navier-Stokes equations

Carlo Morosi, Mario Pernici, Livio Pizzocchero

We consider the Cauchy problem for the incompressible homogeneous Navier-Stokes (NS) equations on a d-dimensional torus, in the C^infinity formulation described, e.g., in [25]. In…