diff --git a/data/conferencias.yml b/data/conferencias.yml index 6094b84..74663c4 100644 --- a/data/conferencias.yml +++ b/data/conferencias.yml @@ -122,7 +122,19 @@ start: 2021-09-16T11:00 end: 2021-09-16T12:30 - titulo: Inviscid dissipation and turbulence - abstract: '' + abstract: 'Turbulence is a phenomenon of wide theoretical and practical interest and an area of research with intense current activity. + Mathematical modeling of turbulence relies, in an essential manner, on a thorough understanding of solutions of the Navier-Stokes + equations at high Reynolds number. + A central question of the mathematical analysis of turbulent flows is whether inviscid dissipation actually occurs and, furthermore, + whether there is dissipation of energy in the vanishing viscosity limit. Smooth solutions of the zero viscosity equations, also known as + the Euler equations, conserve energy over time. However, according to turbulence theory, in turbulent regimes energy should be + dissipated and, additionally, the energy dissipation rate should be non-positive in the vanishing viscosity limit. Clearly, the underlying + flows cannot be smooth. + In 1949 Lars Onsager formulated what is now known as the Onsager Conjecture about the critical regularity which would allow for + inviscid dissipation: solutions of the Euler equations with "more than a 1/3 derivative" (ie Holder continuous with exponent greater than + 1/3) should be conservative. In contrast it should be possible to produce solutions with "less than 1/3 derivative" which dissipate energy. + During the last 10 to 12 years this area of research has seen a substantial amount of progress, culminating with the complete settling, + in 2018, of the Onsager Conjecture. Complete? This is the subject of the talk' pdf: '' speaker: nombre: Helena Nussenszveig Lopes