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Evolution of two concentrated vortices in a two‐dimensional bounded domain
Author(s) -
Marchioro Carlo,
Pagani Enrico,
Neunzert H.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080122
Subject(s) - bounded function , vortex , mathematics , vorticity , domain (mathematical analysis) , compressibility , mathematical analysis , motion (physics) , ideal (ethics) , classical mechanics , mechanics , physics , philosophy , epistemology
We prove that two initially concentrated vortices with opposite vorticity of an incompressible ideal fluid moving in a two‐dimensional bounded domain, remain concentrated during the time. The motion of their centers converges to the solution of the point vortex model with the corresponding initial conditions.