A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is application/pdf
.
Solvability of equations for motion of a vortex filament with or without axial flow
1997
Publications of the Research Institute for Mathematical Sciences
It is known that the motion of a vortex filament with axial flow in a perfect fluid is approximately described by a generalization of the localized induction equation. The unique solvability of the initial value problem for it is first established by parabolic regularization. As the axial flow effect vanishes, its solution converges to that of the localized induction equation. Analogous results are obtained in the spatially periodic case.
doi:10.2977/prims/1195145146
fatcat:zbtpdlhjxzbkvnela424e4o6om