Abstract: We prove uniqueness in inverse acoustic scattering in the case the density of the medium has an unbounded gradient across Σ⊂ΩΣ⊂Ω, where ΩΩ is a 3D-Lipschitz domain. The corresponding direct ...
Abstract: In this talk I will discuss a model (introduced by Lohe, J. Phys. A 2010) describing quantum synchronization. More specifically, this is a system of coupled nonlinear Schrödinger equations w...
Abstract: We consider a way of defining quantum Hamiltonians involving particle creation and annihilation based on an interior-boundary condition (IBC) on the wave function, where the wave function is...
Abstract: I will present a way to derive, via hydrodynamic limits, weak solutions to the 1D isothermal Euler equations in Lagrangian coordinates. This is obtained from a microscopic anharmonic chain w...
Abstract: We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows. This is a joint wor...
Abstract: Riferirò su una ricerca che sto svolgendo con Silvia Caprino (Roma2) e Guido Cavallaro (questo dipartimento). Studiamo un modello matematico di protezione di una navicella spaziale da un ven...
Abstract: Band structure theory and the BCS theory of superconductivity are two cornerstones of modern condensed matter physics. They have been used to explain many properties of crystalline solids an...
Abstract: The "Weyl fermion" was discovered in a topological semimetal in 2015. Its mathematical characterisation turns out to involve deep and subtle results in differential topology. I will outline ...
Abstract: We show that wave operators for three dimensional Schroedinger operators with point interactions are bounded in LpLp for 1<p<31<p<3 but not for p=1p=1 or p≥3p≥3. This is a joint ...
Abstract: Random graphs are useful models for complex networks appearing in empirical studies of networks. Several structural properties have been identified in this context, including scale-free and ...
Abstract: We consider a Hamiltonian lattice field model perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the soluti...
Abstract: I will discuss the problem of homogenization for the Cauchy problem for a semilinear advection equation, where the drift coefficient is given by an Ornstein-Uhlenbeck type stationary in time...
