EYAL GOREN, McGill University
RECENT DEVELOPMENTS IN THE THEORY OF COMPLEX MULTIPLICATION
Monday, June 27 2011, at 17:00
Università di Milano, Dipartimento di Matematica, Via Saldini 50, Sala Rappresentanza | |
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JEAN BOURGAIN, Institute for Advanced Study, Princeton
EXPANSION IN LINEAR GROUPS, SPECTRAL GAPS AND APPLICATIONS
Tuesday, June 21 2011, at 16:30
Luogo: Dipartimento di Matematica, V. Saldini, 50, Aula Chisini | |
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DE WITT L. SUMNERS, Florida State University
DNA TOPOLOGY
Tuesday, June 14 2011, at 14:30
Dipartimento di Matematica, Università di Milano Bicocca, aula seminari 3014 | |
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JUAN LUIS VAZQUEZ, Universidad Autonoma de Madrid
NONLINEAR DIFFUSION, FROM POROUS MEDIA TO FRACTIONAL DIFFUSION. EVOLUTIONS, FREE BOUNDARIES AND ASYMPTOTICS
Tuesday, June 07 2011, at 16:30
Dipartimento di Matematica, V. Saldini, 50, Aula Chisini |
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Abstract
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In the talk we will make a presentation of the theory of Nonlinear Diffusion centered on one of the popular models, the porous medium equation and its close relative, the fast diffusion equation. The existence of free boundaries is one of the most peculiar properties of the former equation. Related models and literature will be mentioned.
In the final section, I will present recent work that combines degenerate nonlinear diffusion with nonlocal operators of fractional Laplacian type. Apart from the unexpected existence of free boundaries, the model admits mass preserving self-similar solutions that are found by solving an elliptic fractional-Laplacian obstacle problem. We use entropy methods to show that the asymptotic behaviour is described after renormalization by these self-similar solutions.
This is intended to give an idea of the variety of topics and techniques in the area.
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ROBERTO MAURI, Dip.to di Ing. Chimica, Chimica Ind. e Scienze dei Materiali, Università di Pisa
MEAN FIELD MODELING OF MULTIPHASE SYSTEMS
Monday, May 23 2011, at 17:00
Dipartimento di Matematica, Politecnico di Milano, Aula Seminari VI piano | |
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THOMAS BARTSCH, University of Giessen
SOLITARY WAVES FOR COUPLED NONLINEAR SCHROEDINGER EQUATIONS
Wednesday, March 30 2011, at 17:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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