Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament
Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament
复制标题
与涡丝相关的四阶非线性薛定谔方程的适定性
DOI：
10.57262/die/1356060600
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发表时间：
2003
影响因子：
1.4
通讯作者：
J. Segata
中科院分区：
文献类型：
--
作者：
J. Segata
我们称之为“涡丝”细长涡管。本文研究了描述无限域无粘不可压流体中孤立涡丝三维运动的方程的初值问题。特别地，我们考虑了四阶非线性Schr\“odiger型方程的初值问题：
We call “the vortex filament” the slender vortex tube. In the present paper, we consider the initial value problem for the equation which describes threedimensional motion of an isolated vortex filament embedded in an inviscid incompressible fluid fulfilled in infinite region. Especially, we are concerned with the initial value problem for the fourth order nonlinear Schr\"odiger type equation: