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The Nonrelativistic Limit of Relativistic Vlasov-Maxwell System
Jack Schaeffer, Lei Wu
We consider the one and one-half dimensional multi-species relativistic Vlasov-Maxwell system with non-decaying(in space) initial data. We prove its well-posedness and nonrelativis…
Separated Characteristics and Global Solvability for the one and one-half dimensional Vlasov Maxwell System
Robert Glassey, Stephen Pankavich, Jack Schaeffer
The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell (VM) system. These equations are considered in one space di…
Global Classical Solutions of the one and one-half dimensional Vlasov-Maxwell Fokker-Planck System
Stephen Pankavich, Jack Schaeffer
We study the "one and one-half" dimensional Vlasov-Maxwell-Fokker-Planck system and obtain the first results concerning well-posedness of solutions. Specifically, we prove the glob…
Time Decay for solutions to One-Dimensional Two-Component Plasma Equations
Robert Glassey, Stephen Pankavich, Jack Schaeffer
We represent three generations of students: Bob Glassey, Walter's student finishing at Brown in 1972, Jack Schaeffer, Bob's student finishing at Indiana University in 1983, and Ste…
Decay in Time for a One-Dimensional Two-Component Plasma
Stephen Pankavich, Robert Glassey, Jack Schaeffer
The motion of a collisionless plasma is described by the Vlasov-Poisson system, or in the presence of large velocities, the relativistic Vlasov-Poisson system. Both systems are con…
On long-time behavior of monocharged and neutral plasma in one and one-half dimensions
Robert Glassey, Stephen Pankavich, Jack Schaeffer
The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell system. In the presence of large velocities, relativistic c…
Large Time Behavior of the Relativistic Vlasov Maxwell System in Low Space Dimension
Robert Glassey, Stephen Pankavich, Jack Schaeffer
When particle speeds are large the motion of a collisionless plasma is modeled by the relativistic Vlasov Maxwell system. Large time behavior of solutions which depend on one posit…