26 citations · 59 across the 24 of their papers we have counts for
7 papers · 1 filter
New invariant surface measures for the cubic Schrödinger equation
Jean-Baptiste Casteras, Ana Bela Cruzeiro, Annie Millet
We construct new invariant measures supported on mass level sets for the cubic defocusing nonlinear Schrödinger equation in dimensions and .
On the well-posedness of a Hamilton-Jacobi-Bellman equation with transport noise
Neeraj Bhauryal, Ana Bela Cruzeiro, Carlos Oliveira
In this paper we consider the following non-linear stochastic partial differential equation (SPDE): \begin{align*} \begin{cases} \mathrm{d}u(s,x)=\sum^n_{i=1} \mathscr{L}_i u(s,x)\…
Navier-Stokes and stochastic Navier-Stokes equations via Lagrange multipliers
Ana Bela Cruzeiro
We show that the Navier-Stokes as well as a random perturbation of this equation can be derived from a stochastic variational principle where the pressure is introduced as a Lagran…
On a non-periodic modified Euler equation: existence and quasi-invariant measures
Ana Bela Cruzeiro, Alexandra Symeonides
We consider a modified Euler equation on . We prove existence of weak global solutions for bounded (and fast decreasing at infinity) initial conditions and construct G…
Invariant measures for the non-periodic two-dimensional Euler equation
Ana Bela Cruzeiro, Alexandra Symeonides
We construct Gaussian invariant measures for the two-dimensional Euler equation on the plane. We show the existence of solution with initial conditions in the support of the measur…
Navier-Stokes equation and forward-backward stochastic differential system in the Besov spaces
Xin Chen, Ana Bela Cruzeiro, Zhongmin Qian
The Navier-Stokes equation on Rd (d greater or equal to 3) formulated on Besov spaces is considered. Using a stochastic forward-backward differential system, the local existence of…
Forward-backward systems of stochastic differential equations generated by Bernstein diffusions
Ana Bela Cruzeiro, Pierre-A. Vuillermot
In this short article we present new results that bring about hitherto unknown relations between certain Bernstein diffusions wandering in bounded convex domains of Euclidean space…