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arXiv · 1201.0335

Solvability of an Initial-Boundary Value Problem for a Second Order Parabolic System with a Third Order Dispersion Term

Masashi Aiki·Tatsuo Iguchi
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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.

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Masashi Aiki, Tatsuo Iguchi. 2012-01-01. Solvability of an Initial-Boundary Value Problem for a Second Order Parabolic System with a Third Order Dispersion Term. https://arxiv.org/abs/1201.0335

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