12 citations · 13 across the 9 of their papers we have counts for
10 papers
-Navier-Stokes equation perturbed by space-time noise of trace class
Ludovic Goudenège, Luigi Manca
We consider a stochastic perturbation of the -Navier-Stokes model. The stochastic perturbation is an additive space-time noise of trace class. Under a natural condition about th…
Stochastic phase field -Navier-Stokes vesicle-fluid interaction model
Ludovic Goudenège, Luigi Manca
We consider a stochastic perturbation of the phase field alpha-Navier-Stokes model with vesicle-fluid interaction. It consists in a system of nonlinear evolution partial differenti…
Asymptotic properties of stochastic Cahn-Hilliard equation with singular nonlinearity and degenerate noise
Ludovic Goudenège, Luigi Manca
We consider a stochastic partial differential equation with a logarithmic nonlinearity with singularities at and and a constraint of conservation of the space average. The…
Resonant effects in random dielectric structures
Guy Bouchitte, Christophe Bourel, Luigi Manca
Recently, a theory for artificial magnetism in two-dimensional photonic crystals has been developed for large wavelength using homogenization techniques. In this paper we pursue th…
The Kolmogorov operator associated to a Burgers SPDE in spaces of continuous functions
Luigi Manca
We are concerned with a viscous Burgers equation forced by a perturbation of white noise type. We study the corresponding transition semigroup in a space of continuous functions we…
Measure-valued equations for Kolmogorov operators with unbounded coefficients
Luigi Manca
Given a real and separable Hilbert space H we consider the measure-valued equation \begin{equation*} \int_Hϕ(x)μ_t(dx)- \int_Hϕ(x)μ(dx)= \int_0^t(\int_HK_0ϕ(x)μ_s(dx))ds, \end{equa…