Analytic solutions to a strongly nonlinear Vlasov equation

作者：Jabin Pierre Emmanuel^*; Nouri A

来源：Comptes Rendus Mathematique, 2011, 349(9-10): 541-546.

DOI：10.1016/j.crma.2011.03.024

We prove the existence for short times of analytic solutions to a Vlasov type equation. The corresponding model is one-dimensional but uses a quite singular force term which involves a full derivative in x of the macroscopic density, making the existence of solutions a difficult question.

• 出版日期2011-5