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| Seminari A.A. 2012-2013 |
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Relatore |
Titolo |
Data |
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Omar Maj
Max-Planck Inst. für Plasmaphys. Garching |
02 Luglio 2013 (ore 14:00) |
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Abstract ritorna |
Since the early studies in plasma physics, the description of
linear wave propagation has always been crucial, both in astrophysics and
fusion research. Waves could explain the transfer of energy between distant
regions of space (solar corona heating), and provide means of non-inductive
heating, control, and diagnostics of the plasma (fusion applications).
The theory of plasma waves has now reached a mature stage [1,2], in the
sense that, for most applications, we know the appropriate system of
equations governing the dynamics of the considered wave (although, a
rigorous mathematical analysis of such problems is not always available).
The focus is then on appropriate computational techniques for such equations.
For the specific case of high-frequency waves, the direct numerical solution
constitutes a serious challenge even for modern super-computers, due to
vastly different scale lengths. Under such conditions, semiclassical
asymptotics is the preferred approach as it allows us to remove the
short-scale oscillations of the wave field. In this talk, computational
methods based on semiclassical asymptotics are reviewed. Semiclassical
symbol calculus for pseudo-differential operators [3] is presented as a
convenient mathematical framework, on the lines of the seminal
work of McDonald and Kaufman [4]. After recalling geometrical optics, which
is the cornerstone of semiclassical methods, the paraxial WKB approach [5]
and complex eikonal methods [6,7] are presented with some emphasis on recent
developments and open problems. [1] T. H. Stix, "Plasma Waves", Springer (New York, 1992). [2] M. Brambilla, "Kinetic Theory of Plasma Waves", Oxford Un. Press (Oxford, 1998). [3] A. Martinez, "An Introduction to Semiclassical and Microlocal analysis", Springer (New York, 2002). [4] S. W. McDonald and A. N. Kaufman, Phys. Rev. A 32 1708 (1985); S. W. McDonald, Phys. Rep. 158 337 (1988). [5] G. V. Pereverzev, Reviews of Plasma Physics 19 1 (1996); Phys. of Plasmas 5, 3529 (1998). [6] V. P. Maslov, "The Complex WKB Method for Nonlinear Equations I", Birkauser (Basel, 1994). [7] O. Maj, A. Mariani, E. Poli and D. Farina, Phys. Plasmas 20, 042122 (2013). |
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Marco Brambilla
Max-Planck Inst. für Plasmaphys. Garching |
11 Giugno 2013 |
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Mustapha Mourragui
Université de Rouen |
16 Maggio 2013 (giovedì) |
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Mustapha Mourragui
Université de Rouen |
15 Maggio 2013 (mercoledì) |
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Bruno Coppi
MIT |
14 Maggio 2013 (ore 15:00) |
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Francesco Califano
Università di Pisa |
14 Maggio 2013 (ore 14:00) |
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Alain Messager
CPT - CNRS Marseille |
Phase transitions in the long range XXZ model |
07 Maggio 2013 (ore 15:30) |
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Carlo Marchioro
Università di Roma "La Sapienza" |
07 Maggio 2013 |
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Milos Zahradnik
Charles University Prague |
30 Aprile 2013 (ore 15:00) |
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Daniela Grasso
CNR e Politecnico di Torino |
30 Aprile 2013 (ore 14:00) |
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Yuri Kondratev
Universität Bielefeld |
23 Aprile 2013 |
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Israel Michael Sigal
Toronto University |
12 Aprile 2013 (venerdì) |
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Errico Presutti
Università di Roma "Tor Vergata" |
09 Aprile 2013 |
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Giovanni Gallavotti
INFN Roma1 e Accademia dei Lincei |
05 Marzo 2013 |
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Alessandro Pizzo
UC Davis |
23 Ottobre 2012 (ore 16:00) |
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Zhituo Wang
Paris XI - Orsay |
26 Settembre 2012 (mercoledì) |
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Joel Lebowitz
Rutgers University |
Three easy (to state) open problems (that have worried me for many years) |
24 Settembre 2012 (lunedì 16:00 aula F) |
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Manuel de Llano
UNAM |
21 Settembre 2012 (venerdì) |
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