DE WITT L. SUMNERS, Florida State University
DNA TOPOLOGY
Martedì 14 Giugno 2011, ore 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
Martedì 07 Giugno 2011, ore 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
Lunedì 23 Maggio 2011, ore 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
Mercoledì 30 Marzo 2011, ore 17:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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FULVIO RICCI, Scuola Normale Superiore di Pisa
RECENTI SVILUPPI NELLA TEORIA DEGLI INTEGRALEI SINGOLARI
Venerdì 25 Febbraio 2011, ore 11:00
Politecnico di Milano, Dipartimento di Matematica, Sala Consiglio VII piano | |
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