Differential and Integral Equations

Large-time behavior of a one-dimensional monocharged plasma

Jack Schaeffer

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Abstract

A collisionless plasma is described by the Vlasov-Poisson system. This system is considered in one space dimension in the case when there is one species of ions. Using the fact that the time evolution preserves a certain partial order of points in phase space, two theorems on large-time asymptotics are established.

Article information

Source
Differential Integral Equations Volume 20, Number 3 (2007), 277-292.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356039502

Mathematical Reviews number (MathSciNet)
MR2293986

Zentralblatt MATH identifier
1212.35019

Subjects
Primary: 82D10: Plasmas
Secondary: 35B40: Asymptotic behavior of solutions 35F20: Nonlinear first-order equations 76X05: Ionized gas flow in electromagnetic fields; plasmic flow [See also 82D10]

Citation

Schaeffer, Jack. Large-time behavior of a one-dimensional monocharged plasma. Differential Integral Equations 20 (2007), no. 3, 277--292. https://projecteuclid.org/euclid.die/1356039502.


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