The Burgers equation as electrohydrodynamic model in plasma physics
Eric Moreau (LASEP), Olivier Vall\'ee (LASEP)
TL;DR
This paper demonstrates that the Poisson equation in plasma physics can be transformed into a Burgers equation, allowing analytical solutions that reveal elastic behavior of electric forces over time.
Contribution
It introduces a novel analytical approach linking the Poisson equation to the Burgers equation in plasma physics, highlighting elastic electric force behavior.
Findings
Analytical solutions for the Burgers equation in plasma context
Electric force exhibits elastic behavior in long-term limit
Poisson equation reduces to Burgers form under certain conditions
Abstract
It is shown that the Poisson equation for the electric field in a plasma, yields to a Burgers type equation which may be solved analyticaly for a constant source term. The solution of the obtained equation shows an elastix behaviour of the associated electric force in the long time limit
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSolar and Space Plasma Dynamics · Characterization and Applications of Magnetic Nanoparticles