Boguslaw Zegarlinski , Imperial College London
Dissipative Dynamics for Large Interacting Systems
Monday, January 30 2017, at 16:00
Aula Seminari del 6 piano | |
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Alessio Figalli, ETH Zurich
Convergence to equilibrium via quantitative stability
Monday, November 07 2016, at 16:30
Aula Chisini, via Saldini 50 | |
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François Charles, Université Paris-Sud (Orsay)
Constructing curves on surfaces
Thursday, October 06 2016, at 16:30
Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 | |
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Endre Szemerédi, Rutgers University
On the fundamental theorem of Freiman
Monday, October 03 2016, at 16:03
Aula Chisini, via Saldini 50 | |
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Walter Craig, McMaster University
Vortex filament dynamics
Wednesday, September 21 2016, at 16:30 precise
Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 |
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Abstract
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The evolution of vortex filaments in three dimensions is an important problem in mathematical hydrodynamics. It appears in questions on solutions of the Euler equations as well as in the fine structure of vortex filamentation in a superfluid. It is also a setting in the analysis of partial differential equations with a compelling analogy to Hamiltonian dynamical systems. I will give an analysis of a system of model equations for the dynamics of near-parallel vortex filaments in a three dimensional fluid. These equations can be formulated as a Hamiltonian system of partial differential equations, and the talk will describe some aspects of a phase space analysis of solutions, including the construction of periodic and quasi-periodic orbits via a version of KAM theory for PDEs, and a topological principle to count multiplicity of solutions. This is ongoing joint work with L. Corsi (McMaster and Georgia Tech), C. Garcia (UNAM) and C.-R. Yang (McMaster and Shantou Univ.) |
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Elon Lindenstrauss, Hebrew University of Jerusalem
DIAGONAL FLOWS, JOININGS AND ARITHMETIC
Monday, July 11 2016, at 16:30
Aula Chisini, via Saldini 50 | |
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