Concept
Inductive dimension
Publications associées (38)
From thin plates to Ahmed bodies: linear and weakly nonlinear stability of rectangular prisms
Edouard Boujo, Giuseppe Antonio Zampogna
We study the stability of laminar wakes past three-dimensional rectangular prisms. The width-to-height ratio is set to W/H = 1.2, while the length-to-height ratio 1/6 < L/H < 3 covers a wide range of geometries from thin plates to elongated Ahmed bodies. F ...
CAMBRIDGE UNIV PRESS2023Localization errors of the stochastic heat equation
In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...
EPFL2022A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties
Alfio Quarteroni, Ondine Gabrielle Chanon
In this paper, we carry out a systematic comparison between the theoretical properties of Spectral Element Methods and NURBS-based Isogeometric Analysis in its basic form, that is in the framework of the Galerkin method, for the approximation of the Poisso ...
SPRINGER/PLENUM PUBLISHERS2020On long time behavior of solutions to nonlinear dispersive equations
In part I, we address the issue of existence of solutions for Cauchy problems involving nonlinear hyperbolic equations for initial data in Sobolev spaces with scaling subcritical regularity. In particular, we analyse nonlinear estimates for null-forms in t ...
EPFL2020