584 citations
- Istituto di Fotonica e NanotecnologieIT81 papers
- University of MilanIT63 papers
- Centre National de la Recherche ScientifiqueFR57 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT52 papers
- Italian Institute of TechnologyIT44 papers
- Sapienza University of RomeIT35 papers
- University of Rome Tor VergataIT31 papers
- European Synchrotron Radiation FacilityFR30 papers
- Institute for Cross-Disciplinary Physics and Complex SystemsES30 papers
- University of Milano-BicoccaIT30 papers
- University of BolognaIT28 papers
- University of GenoaIT28 papers
6 papers · 2 filters
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…
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…
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…
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…
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…
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…