IGOR HERBUT, Simon Fraser University
QUANTUM NUMBERS OF TOPOLOGICAL DEFECTS AND REAL CLIFFORD ALGEBRAS IN DIRAC SYSTEMS
Monday, January 21 2013, at 17:00
Università di Milano, Dipartimento di Matematica | |
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JAMES ROBINSON, Warwick University
INTERPOLATION AND LADYZHENSKAYA INEQUALITY IN A COUPLED ELLIPITIC-PARABOLIC PROBLEM
Tuesday, November 27 2012, at 17:00
Politecnico di Milano, Dipartimento di Matematica |
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Abstract
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In 1985 Moffatt proposed the method of magnetic relaxation to construct stationary Euler flows with non-trivial topology. The idea is to take an initial magnetic field and let it evolve under the dynamics of the MHD system with zero viscosity; the time asymptotic limit of the magnetic field should then yield a function that satisfies the stationary Euler equations.
Since the MHD equations are only used to produce the limiting field, the problem can be changed in a number of ways and still (at least heuristically) provide a stationary Euler flow.
In this talk I will discuss a simplification of the system in which the fluid evolution is replaced by an elliptic equation. Our aim is to show that the resulting system is locally well-posed. Despite the apparent simplicity of the equations it turns out that this requires results that are at the limit of what is available - elliptic regularity in $L^1$, the limiting case of the Aubin-Lions compactness theorem, and a strengthened form of the Ladyzehnskaya inequality derived using the theory of interpolation. |
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STEFANO OLLA, Ceremade, Université Paris Dauphine
DALLA DINAMICA ALLA TERMODINAMICA: E' POSSIBILE UNA DEDUZIONE MATEMATICA PRECISA?
Monday, November 26 2012, at 15:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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ENRICO VALDINOCI, Università di Milano
A FRACTIONAL FRAMEWORK FOR PERIMETERS AND PHASE TRANSITIONS
Monday, November 05 2012, at 17:00
Dipartimento di Matematica del Politecnico, Aula Consiglio | |
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THOMAS SPENCER, Institute for Advanced Study, Princeton
SYMMETRY, STATISTICAL MECHANICS AND RANDOM MATRICES
Monday, October 15 2012, at 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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WALTER NOLL, Carnegie Mellon University
PHYSICS AND MATHEMATICS WITHOUT COORDINATES
Thursday, October 04 2012, at 17:00
Politecnico di Milano, Dipartimento di Matematica, Sala del Consiglio VII piano | |
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