Vlasov Equation In Magnetic Field
Wu, Biao
arXiv, 9807002 / Harvested from arXiv
Text on arXiv
The linearized Vlasov equation for a plasma system in a uniform magnetic field and the corresponding linear Vlasov operator are studied. The spectrum and the corresponding eigenfunctions of the Vlasov operator are found. The spectrum of this operator consists of two parts: one is continuous and real; the other is discrete and complex. Interestingly, the real eigenvalues are infinitely degenerate, which causes difficulty solving this initial value problem by using the conventional eigenfunction expansion method. Finally, the Vlasov equation is solved by the resolvent method.
Publié le : 1998-07-02
Classification:  Mathematical Physics 
@article{9807002,
     author = {Wu, Biao},
     title = {Vlasov Equation In Magnetic Field},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807002}
}

Wu, Biao. Vlasov Equation In Magnetic Field. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807002/