Семинар добрушинской математической лаборатории: 2 сентября в 14.00 в к. 307.

2 сентября 2010 г. (четверг), 14:00 (ВНИМАНИЕ! необычное время), ауд. 307.

Докладчик: Карло Болдригини (Рим).

Title: Navier-Stokes equations on the flat cylinder with vorticityproduction at the boundary

Abstract: We study the Navier-Stokes equations on the flat cylinder withthe usual Dirichlet boundary conditions. Working in a suitable basis forthe vorticity, the problem is reduced to infinitely many coupled ODE’s.The boundary conditions are taken into account by adding a vorticityproduction term at the boundary. We prove equivalence of the ODE system tothe original NS system and show that for any $t>0$ the Fourier modes falloff exponentially fast in the periodic direction, but only as an inversepower in the other direction.

Страница семинара.