Home /  Workshop /  Schedules /  Hamiltonian reduced fluid models for non-dissipative plasmas

Hamiltonian reduced fluid models for non-dissipative plasmas

Hamiltonian systems, from topology to applications through analysis I October 08, 2018 - October 12, 2018

October 09, 2018 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Emanuele Tassi (Laboratoire Lagrange)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

8-Tassi

Abstract

Progress in the understanding of several phenomena occurring in plasmas greatly benefited from the use of continuum models based on a fluid description of plasmas.
In the absence of dissipative effects, all such models are supposed to possess a Hamiltonian structure. The existence of such structure for a given model is, however, not guaranteed, in general,
unless it is implied in its derivation or shown a  posteriori. 

In this talk I will consider a class of so-called reduced fluid models for plasmas, which are applicable in the situation where the magnetic field can be written as the sum of 
  a uniform 
and constant component (guide field) with a fluctuating contribution depending on space and time. The amplitude of the fluctuating contribution is also assumed to be much
smaller than that of the guide field. Such very commonly adopted assumption has led, together with further assumptions,  to the derivation, over the last decades, of a number of reduced fluid models, a considerable part of which were shown to possess a Hamiltonian structure. 

In this context, I will first recall earlier results on the derivation of a class of reduced fluid models, which guarantees the existence of a Hamiltonian structure. Such derivation is based on a closure
of the hierarchy of fluid equations  evolving moments of the perturbation of the distribution function satisfying a Hamiltonian drift-kinetic equation. In the remaining part of the talk I will consider recent extensions of this procedure, addressed to applications to collisionless space plasmas.

Supplements
Asset no preview Notes 1.69 MB application/pdf Download
Video/Audio Files

8-Tassi

H.264 Video 8-Tassi.mp4 127 MB video/mp4 Download
Troubles with video?

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.