Vortices on closed surfaces
S Boatto, J Koiller - Geometry, mechanics, and dynamics: the legacy of …, 2015 - Springer
It was recognized, since the seminal papers of Arnold (Ann Inst Grenoble 16: 319–361,
1966) and Ebin-Marsden (Ann Math Ser 2 92 (1): 102–163, 1970), that Euler's equations are …
1966) and Ebin-Marsden (Ann Math Ser 2 92 (1): 102–163, 1970), that Euler's equations are …
Self-Similar Collapse of n Point Vortices
H Kudela - Journal of Nonlinear Science, 2014 - Springer
A system of a finite number of linear vortices in self-similar motion and under suitable
conditions that are related to the initial positions and circulations of the vortices can collapse …
conditions that are related to the initial positions and circulations of the vortices can collapse …
Vortices on closed surfaces
S Boatto, J Koiller - arxiv preprint arxiv:0802.4313, 2008 - arxiv.org
We consider $ N $ point vortices $ s_j $ of strengths $\kappa_j $ moving on a closed
(compact, boundaryless, orientable) surface $ S $ with riemannian metric $ g $. As far as we …
(compact, boundaryless, orientable) surface $ S $ with riemannian metric $ g $. As far as we …
[書籍][B] Dynamically coupled rigid body-fluid flow systems
BN Shashikanth - 2021 - Springer
The time-honored method of studying the dynamics of fluid-solid interaction problems has
been to either fix the solid or to prescribe its motion, for example, a steady translation or a …
been to either fix the solid or to prescribe its motion, for example, a steady translation or a …
The Addition of Vortices
BN Shashikanth, BN Shashikanth - Dynamically Coupled Rigid Body …, 2021 - Springer
The symplectic and Poisson formulations of point vortex and vortex rings models, mainly due
to Marsden and Weinstein (Physica D 7: 305–323, 1983), are discussed. The Euler …
to Marsden and Weinstein (Physica D 7: 305–323, 1983), are discussed. The Euler …