## View abstract

### Session S37 - New Developments in Mathematical Fluid Dynamics

Monday, July 19, 20:30 ~ 20:55 UTC-3

## Vanishing viscosity and conserved quantities for 2D incompressible flow

### Helena Nussenzveig Lopes

#### Universidade Federal do Rio de Janeiro, Brasil   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloak058f9fb252379116a2b0d8930ec09037').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addy058f9fb252379116a2b0d8930ec09037 = 'hl&#111;p&#101;s' + '&#64;'; addy058f9fb252379116a2b0d8930ec09037 = addy058f9fb252379116a2b0d8930ec09037 + '&#105;m' + '&#46;' + '&#117;frj' + '&#46;' + 'br'; var addy_text058f9fb252379116a2b0d8930ec09037 = 'hl&#111;p&#101;s' + '&#64;' + '&#105;m' + '&#46;' + '&#117;frj' + '&#46;' + 'br';document.getElementById('cloak058f9fb252379116a2b0d8930ec09037').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy058f9fb252379116a2b0d8930ec09037 + '\'>'+addy_text058f9fb252379116a2b0d8930ec09037+'<\/a>';

Weak solutions of the incompressible Euler equations which are weak limits of vanishing viscosity Navier-Stokes solutions inherit, in two dimensions, conservation properties which are not available for general weak solutions. In fluid domains with no boundary, research has focused on the behavior of kinetic energy and of the $p$-moments of vorticity. In this talk I will report on recent work in this direction, particularly the case of $p$-moments of vorticity, with $1 \leq p <\infty$.

Joint work with Christian Seis (Universitat Munster), Victor Navarro-Fernandez (Universitat Munster) and Emil Wiedemann (Universitat Ulm).