18 citations · 26 across the 22 of their papers we have counts for
9 papers · 1 filter
Anomalous properties of 2D active scalars perturbed by rough transport noise
Lucio Galeati, Eliseo Luongo, Umberto Pappalettera
We study SPDEs associated with D active scalars driven by incompressible transport noise of Kraichnan type, with regularity exponent ; our examples include the Euler…
Spectral instability and non-uniqueness for the Keller-Segel system
Eliseo Luongo, Umberto Pappalettera
We show that the Cauchy problem associated with the parabolic-elliptic Keller-Segel model is locally ill-posed in for dimensions and throu…
Self-similar blowup from arbitrary data for supercritical wave maps with additive noise
Irfan Glogić, Martina Hofmanová, Eliseo Luongo
We consider stochastically perturbed wave maps from into , in all energy-supercritical dimensions . We show that corotational non-degener…
Non-uniqueness of mild solutions to supercritical heat equations
Irfan Glogić, Martina Hofmanová, Theresa Lange +1
We consider the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Δu = |u|^{p-1}u, \quad p>1, \end{equation} in dimensions $…
Global well-posedness of 2D Navier-Stokes with Dirichlet boundary fractional noise
Antonio Agresti, Alexandra Blessing, Eliseo Luongo
In this paper, we prove the global well-posedness and interior regularity for the 2D Navier-Stokes equations driven by a fractional noise acting as an inhomogeneous Dirichlet-type…
Global well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions
Antonio Agresti, Eliseo Luongo
The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier-Stokes equations with inhomogeneous stochastic boundary conditions. T…
Uniform Approximation of 2D Navier-Stokes Equations with Vorticity Creation by Stochastic Interacting Particle Systems
Francesco Grotto, Eliseo Luongo, Mario Maurelli
We consider a stochastic interacting particle system in a bounded domain with reflecting boundary, including creation of new particles on the boundary prescribed by a given source…
Inviscid Limit for Stochastic Second-Grade Fluid Equations
Eliseo Luongo
We consider in a smooth and bounded two dimensional domain the convergence in the norm, uniformly in time, of the solution of the stochastic second-grade fluid equations with…
Inviscid limit for Stochastic Navier-Stokes Equations under general initial conditions
Eliseo Luongo
We consider in a smooth and bounded two dimensional domain the convergence in the norm, uniformly in time, of the solution of the stochastic Navier-Stokes equations with addi…