Identifiability and stability of boundaries in a supercritical free surface flow.
Il modello di Klein e la Cosmologia.
Il problema della capillarità su domini non regolari
Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type
Influence of bottom topography on long water waves
We focus here on the water waves problem for uneven bottoms in the long-wave regime, on an unbounded two or three-dimensional domain. In order to derive asymptotic models for this problem, we consider two different regimes of bottom topography, one for small variations in amplitude, and one for strong variations. Starting from the Zakharov formulation of this problem, we rigorously compute the asymptotic expansion of the involved Dirichlet-Neumann operator. Then, following the global strategy...
Influence of control valve delay and dead zone on the stability of a simple hydraulic positioning system.
Instability of certain capillary surfaces.
Instability of the stationary solutions of generalized dissipative Boussinesq equation
In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.
Integral equations of the linear sloshing in an infinite chute and their discretization.
Integration of the EPDiff equation by particle methods
The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff equation that is well-suited for this class of solutions and...
Integration of the EPDiff equation by particle methods∗∗∗∗∗∗
The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff equation that...
Internal waves in fluids with rapidly varying density
Invariant manifolds and alternative approaches to reduce perturbation theory: Dissipative systems.
Inverse shape optimization problems and application to airfoils
Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains
We study the convergence in the vanishing viscosity limit of the stationary incompressible Navier-Stokes equation towards the stationary Euler equation, in the presence of an arbitrary force term. This requires that the fluid is allowed to pass through some open part of the boundary.