Solvability of an Initial-Boundary Value Problem for a Second Order Parabolic System with a Third Order Dispersion Term
Analysis of PDEs
2012-01-04 v1
Abstract
We consider a linear second order parabolic system with a third order dispersion term. This type of system arises when considering a nonlinear model equation describing the motion of a vortex filament with axial flow immersed in an incompressible and inviscid fluid. We prove the solvability of an initial-boundary value problem of the parabolic-dispersive system which allows application to the motion of a vortex filament. To do so, we propose a new regularization technique by adding a space-time derivative term.
Cite
@article{arxiv.1201.0335,
title = {Solvability of an Initial-Boundary Value Problem for a Second Order Parabolic System with a Third Order Dispersion Term},
author = {Masashi Aiki and Tatsuo Iguchi},
journal= {arXiv preprint arXiv:1201.0335},
year = {2012}
}
Comments
24 pages