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math.PR2010★ 3 cited
Ergodicity for infinite particle systems with locally conserved quantities
J. Inglis, M. Neklyudov, B. Zegarlinski
We analyse certain degenerate infinite dimensional sub-elliptic generators, and obtain estimates on the long-time behaviour of the corresponding Markov semigroups that describe a c…
math.PR2007
Duality, Vector advection and the Navier-Stokes equations
Z. Brzezniak, M. Neklyudov
In this article we show that three dimensional vector advection equation is self dual in certain sense defined below. As a consequence, we infer classical result of Serrin of exist…