## Non-uniqueness of Leray solutions of the forced Navier-Stokes equations – Elia Bruè (Institute for Advanced Study (Princeton))

In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and…

## Existence Proofs for Pseudomonotone Parabolic Problems – Michael Růžička (Department of Applied Mathematics, University of Freiburg)

In the talk we discuss several existence proofs for nonlinear parabolic problems which contain a pseudomonotone operator. A new notion of Bochner pseudomonotonicity is introduced and applied. We show that this technique also allows for convergence…

## Long time behavior of solutions to open fluid systems – Eduard Feireisl (Institute of Mathematics, Czech Academy of Sciences)

We consider the physically relevant fully compressible setting of the Rayleigh-Benard problem of a fluid confined between two parallel plates, heated from the bottom, and subjected to the gravitational force. Under suitable restrictions imposed on…

## Existence of canonical multi-phase Brakke flows-VAREG seminar – Salvatore Stuvard (Università degli Studi di Milano)

VAREG-Seminar -Abstract…

## On a general mixed dispersion nonlinear Schödinger equation – Pietro D’Avenia (Politecnico di Bari)

I will present a multiplicity result for a mixed dispersion nonlinear Schrödinger equation where the nonlinearity g satisfies general assumptions.…

## Segregated solutions for some nonlinear Schrödinger systems – Angela Pistoia (Sapienza Università di Roma)

I will focus on the existence and multiplicity of positive non-radial solutions for some systems of Schrödinger equations in a weak fully attractive or repulsive regime in the presence or in absence of an external radial trapping. The results have…

## “Optimal design versus maximal Monge-Kantorovich metrics” – Guy Bouchittè

Venue Aula Magna – Dipartimento di Matematica. Abstract…

## Weak limit of homeomorphisms in $W^{1,n-1}$ and (INV) condition – Stanislav Hencl (Charles University Prague)

Let $\Omega,\Omega’\subset R^3$ be Lipschitz domains, let $f_m:\Omega\to\Omega’$ be a sequence of homeomorphisms with prescribed Dirichlet boundary condition and \$\sup_m \int_{\Omega}(|Df_m|^2+1/J^2_{f_m})…

## Free boundary problems in the spatial segregation of competing systems – Nicola Soave (Politecnico di Milano)

In this talk we present some results concerning the spatial segregation in systems with strong competition. In particular, we focus on two different (but strongly related) issues: long-range segregation models and systems characterized by asymmetric…

## Geodesic distances on Banach manifolds – Daniele Tiberio (SISSA)

In a connected Banach manifold, equipped with a weak Riemannian metric, we show that the infimum of the lengths among all piecewise smooth curves joining two points (namely, the geodesic “distance”) does not define a distance in general. We…

Torna in cima