Thursday, July 13, 2023 - 17:00 in ZiF
Anomalous and total dissipation due to advection by Navier-Stokes equations
A talk in the SPDEs, optimal control and mean field games series by
Martina Hofmanová from Bielefeld
| Abstract: |
We show the existence of a velocity field v, solution of (randomly) forced Navier-Stokes
equations, which produces total dissipation of kinetic energy in finite time
when advecting a passive scalar $\rho$. The total dissipation holds true uniformly
in the viscosity parameter and the initial conditions $\rho_0$, in particular the dissipation
is anomalous. Our results extend to the case when $\rho$ is replaced by a solution
to the two or three dimensional (deterministic) Navier-Stokes equations advected
by v. Based on a joint work with U. Pappalettera, R. Zhu and X. Zhu.
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