Name
Title | ||
|---|---|---|
Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits |
Abstract | ||
|---|---|---|
We study the instability of solutions to the relativistic Vlasov-Maxwell systems in two limiting regimes: the classical limit when the speed of light tends to infinity and the quasineutral limit when the Debye length tends to zero. First, in the classical limit, epsilon -> 0, with epsilon being the inverse of the speed of light, we construct a family of solutions that converge initially polynomially fast to a homogeneous solution mu of Vlasov-Poisson systems in arbitrarily high Sobolev norms, but become of order one away from mu in arbitrary negative Sobolev norms within time of order vertical bar log epsilon vertical bar Second, we deduce the invalidity of the quasineutral limit in L-2 in arbitrarily short time. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1028765 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
Vlasov-Maxwell,nonlinear instability,classical limit,quasineutral limit | Inverse,Nonlinear system,Homogeneous,Mathematical analysis,Instability,Sobolev space,Infinity,Classical limit,Debye length,Mathematics | Journal |
Volume | Issue | ISSN |
48 | 5 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniel Han-Kwan | 1 | 0 | 1.35 |
| Toan T. Nguyen | 2 | 1 | 2.04 |