Basic results on the equations of magnetohydrodynamics of partially ionized inviscid plasmas

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3246611· OSTI ID:21294394

Nunez, Manuel ^[1]

---

1. Departamento de Analisis Matematico, Universidad de Valladolid, 47005 Valladolid (Spain)

The equations of evolution of partially ionized plasmas have been far more studied in one of their many simplifications than in its original form. They present a relation between the velocity of each species, plus the magnetic and electric fields, which yield as an analog of Ohm's law a certain elliptic equation. Therefore, the equations represent a functional evolution system, not a classical one. Nonetheless, a priori estimates and theorems of existence may be obtained in appropriate Sobolev spaces.

• OSTI ID: 21294394
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 10; Other Information: DOI: 10.1063/1.3246611; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
ELECTRIC FIELDS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
OHM LAW
PLASMA
PLASMA SIMULATION
TRANSPORT THEORY