-
Thierry Gallay12/01/2026, 09:00
As a model for vortex-wall interactions, we consider the two-dimensional incompressible Navier-Stokes equations in a half-plane with no-slip boundary condition and point vortices as initial data. We concentrate on the paradigmatic example of a single vortex in an otherwise stagnant fluid, which is already quite challenging from the mathematical point of view. As a warm-up, we prove that this...
Go to contribution page -
Michele Dolce (EPFL)12/01/2026, 10:30
In 1959, Kolmogorov proposed to study the instability of the shear flow (sin(y),0) in the vanishing viscosity regime in tori of different aspect ratios. This question was later resolved by Meshalkin and Sinai in the '60s. Generalizing their picture, we focus on instability properties for general shear flows (U(y),0) and we show that they always exhibit a long-wave instability mechanism. This...
Go to contribution page -
Augusto Del Zotto12/01/2026, 11:30
We construct an incompressible velocity field on the two dimensional unit sphere by alternating two zonal flows with random amplitudes. We show that the time evolution of any mean-free initial data passively advected by the velocity field is exponentially mixed in time.
This is a joint work with Marc Nualart.
Go to contribution page -
Martina Zizza12/01/2026, 15:00
In this talk we will introduce Bressan's Fire Conjecture: it is concerned with the model of wild fire spreading in a region of the plane and the possibility to block it using barriers constructed in real time. The fire starts spreading at time $t=0$ from the unit ball $B_1(0)$ in every direction with speed $1$, while the length of the barrier constructed within the time $t$ has to be lower...
Go to contribution page -
Óscar Domínguez12/01/2026, 16:30
A famous result of Delort (1991) establishes the concentration-cancellation phenomenon for approximating solutions of 2D Euler equations with a vortex sheet whose vorticity maximal function has a log-decay of order $1/2$. Moreover, this result is optimal in the setting of vortex sheets with distinguished sign. Without distinguished sign, DiPerna and Majda (1987) showed that if the log-decay...
Go to contribution page -
Siddhant Agrawal (University of Colorado Boulder)12/01/2026, 17:30
We consider the 2D incompressible Euler equation on a bounded simply connected domain. We give sufficient conditions on the domain so that for all bounded initial vorticity, the weak solutions are unique. Our sufficient conditions allow us to prove uniqueness for a large subclass of $C^{1,\alpha}$ domains and convex domains. Previously uniqueness for general bounded initial vorticity was only...
Go to contribution page -
Monica Musso (University of Bath)13/01/2026, 09:00
In this talk we consider the classical water wave problem for an incompressible inviscid fluid occupying a time-dependent domain in the plane, whose boundary consists of a fixed horizontal bed together with an unknown free boundary separating the fluid from the air outside the confining region.
We provide the first construction of overhanging gravity water waves having the approximate form...
Go to contribution page -
Rowan Keefer13/01/2026, 10:30
The Obukhov--Corrsin spectrum predicts the distribution of Fourier mass for a passive scalar field advected by a "turbulent" velocity field with spatial regularity between 0 and 1 and subject to a time-stationary forcing. We discuss how a form of the Obukhov--Corrsin spectrum holds as a consequence of a sharp anomalous regularization result as well as the proof of this anomalous regularization...
Go to contribution page -
Gonzalo Cao Labora13/01/2026, 11:30
We will present a new criterion to study the non purely-imaginary spectrum of linear Hamiltonian operators. We will apply it to prove linear stability or instability of steady solutions of the Euler equations.
Go to contribution page -
Luis Martínez Zoroa13/01/2026, 15:00
In this talk, I will talk about some of our recent results regarding singularity formation in incompressible fluid dynamics, including models such as 3 dimensional Euler and Incompressible Porous Media.
Go to contribution page -
In-Jee Jeong13/01/2026, 16:30
Classical variational approach of maximizing the kinetic energy under constraints provides nonlinear stability of the maximizing vortex configuration in various settings, but this approach fails to handle the situations where the vorticity is concentrated at multiple points in the fluid domain. This is simply because such configurations are not even local kinetic energy maximizers, even when...
Go to contribution page -
Francisco Mengual13/01/2026, 17:30
In this talk, we present a non-uniqueness result for the forced SQG equation in supercritical Sobolev spaces. A key step is the construction of smooth, compactly supported vortices that exhibit nonlinear instability. This is joint work with Á. Castro, D. Faraco, and M. Solera.
Go to contribution page -
Samuel Punshon-Smith14/01/2026, 09:00
I will present recent work with M. Hairer, T. Rosati, and J. Yi on the maximum rate of mixing in randomly stirred fluids. By analyzing the top Lyapunov exponent for the advection-diffusion and linearized Navier-Stokes equations, we prove that the decay rate cannot be infinitely fast. Our main result establishes a quantitative lower bound on this rate that depends on a negative power of the...
Go to contribution page -
Elia Bruè14/01/2026, 10:30
In 2003, Bressan proposed a conjecture on the mixing efficiency of incompressible flows, which remains open. This talk surveys progress toward resolving Bressan’s mixing conjecture and presents a new result confirming its asymptotic validity for time-periodic velocity fields. We accomplish this by adapting dynamical systems tools to the non-smooth framework of DiPerna-Lions flows. Furthermore,...
Go to contribution page -
Pierre Germain15/01/2026, 09:00
Wave Turbulence arises in nonlinear wave or dispersive equations in a chaotic regime. It shares many features with hydrodynamic turbulence, but there is a decisive difference: the ensemble dynamics are expected to be described by a kinetic equation. This gives a link between the Hamiltonian system and the turbulent behavior which opens the door to a mathematical analysis. I will present the...
Go to contribution page -
Luigi De Rosa (Gran Sasso Science Institute)15/01/2026, 10:30
Intermittency is a remarkable feature of three-dimensional turbulence for which we still lack explanation from first principles. It will be shown how a dissipation with a non-trivial lower-dimensional part induces a quantitative intermittent regularity of the weak solution. The result is in fact more general than that.
Go to contribution page -
Kwan Woo15/01/2026, 11:30
In this talk, I will discuss touching dipoles (Sadovskii vortices) in the 2D Euler flows, which are traveling wave solutions whose vorticity support remains in contact with a symmetry axis.
Go to contribution page
I will explain how a family of touching dipoles arises as maximizers of the kinetic energy under natural constraints. This family includes classical examples such as the Chaplygin-Lamb dipole and Sadovskii... -
Ayman Said (CNRS-LMR)15/01/2026, 17:30
In this talk I will present a recent result in collaboration with Thomas Alazard (CNRS-École Polytechnique) showing generic growth of sobolev norms of the vorticity in the 2d Euler equations.
Go to contribution page -
Jaemin Park (Yonsei University)16/01/2026, 09:00
In this talk, I will discuss asymptotic stability in the incompressible porous media equation in a periodic channel. It is well known that a stratified density, which strictly decreases in the vertical direction, is asymptotically stable under sufficiently small, smooth perturbations. We achieve optimality in the regularity assumptions on the perturbation and in the convergence rate. We apply...
Go to contribution page -
Rishabh Gvalani16/01/2026, 10:30
We study the ergodic behaviour of the McKean–Vlasov equations driven by common divergence-free transport noise. In particular, we show that in dimension $d\geq 2$, if the noise is mixing and sufficiently strong it can enforce the uniqueness of invariant measures, even if the deterministic part of equation has multiple steady states. This is joint work with Benjamin Gess and Adrian Martini.
Go to contribution page -
Monica Musso (University of Bath)
In this talk we consider the classical water wave problem for an incompressible inviscid fluid occupying a time-dependent domain in the plane, whose boundary consists of a fixed horizontal bed together with an unknown free boundary separating the fluid from the air outside the confining region.
We provide the first construction of overhanging gravity water waves having the approximate form...
Go to contribution page -
-
-
-
-
-
-
-
-
-
-
Choose timezone
Your profile timezone: