Unit
Group SCI SB JS
GroupRelated publications (32)
Hitting with Probability One for Stochastic Heat Equations with Additive Noise
We study the hitting probabilities of the solution to a system of d stochastic heat equations with additive noise subject to Dirichlet boundary conditions. We show that for any bounded Borel set with positive (d-6)\documentclass[12pt]{minimal} \usepackage{ ...
Springer/Plenum Publishers2024Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modeling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The key fea ...
World Scientific Publ Co Pte Ltd2024An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches
Annalisa Buffa, Pablo Antolin Sanchez, Giuliano Guarino
This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the C 1 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackag ...
Springer2024The first Grushin eigenvalue on cartesian product domains
Joachim Stubbe, Luigi Provenzano, Paolo Luzzini
In this paper, we consider the first eigenvalue.1(O) of the Grushin operator.G :=.x1 + |x1|2s.x2 with Dirichlet boundary conditions on a bounded domain O of Rd = R d1+ d2. We prove that.1(O) admits a unique minimizer in the class of domains with prescribed ...
WALTER DE GRUYTER GMBH2023Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres
Joachim Stubbe, Luigi Provenzano, Paolo Luzzini, Davide Buoso
We compute three-term semiclassical asymptotic expansions of counting functions and Riesz-means of the eigenvalues of the Laplacian on spheres and hemispheres, for both Dirichlet and Neumann boundary conditions. Specifically for Riesz-means we prove upper ...
SPRINGER2023Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds
Le Chen, Cheuk Yin Lee, David Jean-Michel Candil
We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann boundary condition. We establish existence, uniqueness and moment bounds of the r ...
New York2023Thick points of the planar GFF are totally disconnected for all & gamma;=6 0*
We prove that the set of-y-thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all-y =6 0. Our proof relies on the coupling between a GFF and the nested CLE4. In particular, we show that th ...
INST MATHEMATICAL STATISTICS-IMS2023DeepBND: A machine learning approach to enhance multiscale solid mechanics
Annalisa Buffa, Simone Deparis, Pablo Antolin Sanchez, Felipe Figueredo Rocha
Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The entire problem setting encompasses the solution of a local PDE and some aver ...
2023Decay for the nonlinear KdV equations at critical lengths
We consider the nonlinear Korteweg-de Vries (KdV) equation in a bounded interval equipped with the Dirichlet boundary condition and the Neumann boundary condition on the right. It is known that there is a set of critical lengths for which the solutions of ...
2020On The Behavior Of Clamped Plates Under Large Compression
We determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this problem to eigenvalues of the Laplacian with Robin boundary conditions. Using the method of fundamental solutions, we then carry out a numerical ...
2019