Seminars_raw

Stochastic variational principles for dissipative equations with advected quantities

2018-12-13 00:00

Speaker: Chen Xi

unit:

Time: 2018-04-18 16:00-17:00

Venue: The Wei Jin Road No. 6 Building 111 campus teaching

starttime: 2018-04-18 16:00-17:00

Profile:


Theme:
Stochastic variational principles for dissipative equations with advected quantities
Time:
2018-04-18 16:00-17:00
Venue:
The Wei Jin Road No. 6 Building 111 campus teaching
Speaker:
Chen Xi

Abstract

     We present symmetry reduction for material stochastic Lagrangian systems with advected quantities whose configuration space is a Lie group. Such variational principles yield deterministic as well as stochastic constrained variational principles for dissipative equations of motion in spatial representation. We apply this technique to the compressible Navier-Stokes equation and to magneto-hydrodynamics for charged viscous compressible fluids. A stochastic Kelvin-Noether theorem is derived. This talk is based on a joint work with Ana Bela Cruzeiro and Tudor Ratiu.


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