Lectures, talks, conversations

 


 

Field theoretical methods in fluid and plasma theory

 

Part 1: Elements of mathematical structures involved in field theory formulations of fluid and plasma models

MathematicalPreliminaries.pdf

(version of January 17, 2008, morning)

seminar_1.pdf

Part 2: Field theoretical formulations for two-dimensional

a.         fluids: Euler equation

b.         plasmas: Charney-Hasegawa-Mima equation

 

Four_Lagrangians.pdf

(version of January 24, 2008)

seminar_2.pdf

Part3: Applications to large scale vorticity self-organisation in tokamak and in atmosphere

Applications.pdf

(version of January 29, 2008)

seminar_3.pdf

 

       Answer to questions: No_H_in_Phi.pdf

 

 

                                                         A safe return to classical models.

 

 

Supplementary chapters

 

The zero-curvature formulation of the field-theoretical model for the Euler equation

Chapter_1.pdf

 

The Seminar at the Centre de Physique Theorique, Luminy, Marseille

April 2nd, 2008, at 14.00, Amphiteater 5 (Announcement.html)

 

 

The seminar was based on a collection that juxtaposes almost all the slides I have ever prepared on this subject (de omni re scibili –Pico de la Mirandola, et quibusdam aliis, Voltaire). Naturally only a part have been shown the others were prepared for discussions and questions.

Small additions are scattered along the text : the energy, the currents, etc.

Something new at the end, about on why we take ρ as exp(ψ), just a flavor.

 

 

 

Abstract_CPT

 

seminar_CPT_2avril2008

it is a large pdf, 2.7 mega

 


 

Connection between vorticity and density in fluids and plasmas

 

 

 

Draft of a text on elementary aspects of connection vorticity-density

(Version of February 20, updated on March 21st , 2008) Density_Omega.pdf

 

Seminar : Only on request (two persons except the speaker).

 

                There were several requests and therefore there was a seminar, on March 21st , 2008

                At PIIM, Universite de Provence, St.Jerome

                Can be downloaded here seminar_21march2008.pdf


 

Notes on Neoclassics

 

Draft of the FIRST PART of Notes on Elementary Neoclassical Theory

(Version of March 17, 2008) Notes_Neoclassics_1.pdf

 

Seminar : There will be no seminar on this first part, it does not deserve.


Vortex nucleation, saturation of zonal flows and origin of filamentary ELMs

 

Ceci n’est pas un texte.

 

Eight pages prepared for IAEA 2008

 

 

 

 

Normally there is a small movie here. Electrons running poloidally.

 

 


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