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2D viscous Boussinesq's equations on a bounded domain

ARGOMENTI: Convegni

SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Venerdi' 21 novembre alle ore 10.30 in aula 2AB/45 Ronghua Pan (Georgia Institute of Technology) terra' un seminario dal titolo "2D viscous Boussinesq's equations on a bounded domain".

-Abstract
2D viscous Boussinesq's equations describe many geophysical processes, including the motion of incompressible viscous fluid under the influence of gravitational force. It is also the most commonly used simplified model to 3D incompressible Euler and Navier-Stokes equations, sharing the critical vortex stretching effects. We prove the existence of unique smooth solutions for an initial boundary value problem on a bounded domain under no-slip boundary conditions and the smooth initial data in H3. The total energy is also proved to decay to a constant in large time. This talk is mainly based on joint work with M. Lai, K. Zhao.

Rif. int. M. Bardi, A. Marson, P. Mannucci, A. Cesaroni

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