4 papers · 1 filter
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 GlogiÄ, Martina Hofmanová, Eliseo Luongo
We consider stochastically perturbed wave maps from into , in all energy-supercritical dimensions . We show that corotational non-degener…
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…
Non-uniqueness of mild solutions to supercritical heat equations
Irfan GlogiÄ, Martina Hofmanová, Theresa Lange +1
We consider the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Îu = |u|^{p-1}u, \quad p>1, \end{equation} in dimensions…