Abstract
We consider a nonlinear third order dispersive equation which models the motion of a vortex filament immersed in an incompressible and inviscid fluid occupying the three dimensional half space. We prove the unique solvability of initial-boundary value problems as an attempt to analyze the motion of a tornado.
| Original language | English |
|---|---|
| Pages (from-to) | 1311-1335 |
| Number of pages | 25 |
| Journal | Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis |
| Volume | 31 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2014 Nov 1 |
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ASJC Scopus subject areas
- Analysis
- Mathematical Physics
Cite this
Motion of a vortex filament with axial flow in the half space. / Aiki, Masashi; Iguchi, Tatsuo.
In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 31, No. 6, 01.11.2014, p. 1311-1335.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Motion of a vortex filament with axial flow in the half space
AU - Aiki, Masashi
AU - Iguchi, Tatsuo
PY - 2014/11/1
Y1 - 2014/11/1
N2 - We consider a nonlinear third order dispersive equation which models the motion of a vortex filament immersed in an incompressible and inviscid fluid occupying the three dimensional half space. We prove the unique solvability of initial-boundary value problems as an attempt to analyze the motion of a tornado.
AB - We consider a nonlinear third order dispersive equation which models the motion of a vortex filament immersed in an incompressible and inviscid fluid occupying the three dimensional half space. We prove the unique solvability of initial-boundary value problems as an attempt to analyze the motion of a tornado.
UR - http://www.scopus.com/inward/record.url?scp=84912150424&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84912150424&partnerID=8YFLogxK
U2 - 10.1016/j.anihpc.2013.09.004
DO - 10.1016/j.anihpc.2013.09.004
M3 - Article
AN - SCOPUS:84912150424
VL - 31
SP - 1311
EP - 1335
JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
JF - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
SN - 0294-1449
IS - 6
ER -