COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Numerical and analytical study of an asymptotic equation for deformation of vortex lattices

## Numerical and analytical study of an asymptotic equation for deformation of vortex latticesAdd to your list(s) Download to your calendar using vCal - Ohkitani, K, Al Sulti, F (University of Sheffield)
- Monday 23 July 2012, 17:10-17:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Topological Dynamics in the Physical and Biological Sciences It is known that when two-dimensional flows are subject to a suitable background rotation, formation of vortex lattices are observed. We can make use of critical points of the vorticity field and their connectivity (so-called, surface networks) to study reconnection of vorticity contours in 2D turbulence. In this talk we begin by noting how this method applies to the study of formation of vortex lattices. We then study a coarse-grained, asymptotic equation which describes deformation vortex lattices derived by Smirnov and Chukbar, Sov. Phys. JETP vol 93, 126-135(2001). It reads $phi_t=phi_{xx} phi_{yy}-phi_{xy}^2,$ where $phi$ denotes displacement of vortex locations. This equation is particularly valid for geostrophic Bessel vortices with a screened interaction. Numerical results are reported which indicate an ill-posed nature of the time evolution. Self-similar blow-up solutions were already given by those authors, which have an infinite total energy. We ask whether finite-time blow-up can take place developing from smooth initial data with a finite energy. More general self-similar blow-up solutions are sought, but all are found to have infinite total energy. Finally, remarks are made in connection with the Tkachenko-type lattice. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsSCAMPS 09 - One day Symposium Information Engineering Distinguished Lecture Series Cambridge Science Festival## Other talksElectron Catalysis Anthropology, mass graves and the politics of the dead Glanville Lecture 2017/18: The Book of Exodus and the Invention of Religion Neurological Problems Social support and breastfeeding in the UK: evolutionary perspectives and implications for public health Formation and disease relevance of axonal endoplasmic reticulum, a "neuron within a neuronâ€ť. Protein Folding, Evolution and Interactions Symposium Picturing the Heart in 2020 Singularities of Hermitian-Yang-Mills connections and the Harder-Narasimhan-Seshadri filtration Cyclic Peptides: Building Blocks for Supramolecular Designs Human Brain Development Modelled in a Dish |