Energy convergence for singular limits of Zakharov type systems
Energy convergence for singular limits of Zakharov type systems
复制标题
DOI：
10.1007/s00222-008-0110-5
复制
发表时间：
2008-02
影响因子：
3.1
通讯作者：
N. Masmoudi;K. Nakanishi
中科院分区：
文献类型：
--
作者：
N. Masmoudi;K. Nakanishi
本文证明了Klein-Gordon-Zakharov系统在能量空间H1 × L2中在关于两个大参数c和α一致的时间区间上解的存在唯一性.这两个参数对应于等离子体频率和声速。在同时的高频和亚音速极限，我们恢复的非线性薛定谔系统在极限。当我们单独考虑极限时，我们也能够说得更多。
We prove existence and uniqueness of solutions to the Klein–Gordon–Zakharov system in the energy spaceH1×L2on some time interval which is uniform with respect to two large parameterscand α. These two parameters correspond to the plasma frequency and the sound speed. In the simultaneous high-frequency and subsonic limit, we recover the nonlinear Schrödinger system at the limit. We are also able to say more when we take the limits separately.