mercoledi' - 14-04-2004 (11:00 - Aula Riunioni* del Centro di Ricerca
Matematica Ennio De Giorgi palazzo Puteano) :
Etienne Ghys
Fatou and Julia sets for holomorphic foliations
argomento: "Geometria" e "Analisi Matematica".
abstract:
SEMINARIO DI SISTEMI DINAMICI (olomorfi e dintorni)
D. Sullivan noticed a strong analogy between the dynamics of rational maps,
kleinian groups, and (transversaly) holomorphic foliations. In this talk, I
would like to discuss a joint work with Gomez-Mont and Saludes in which we
try to generalize (as much as possible) the Julia-Fatou theory and the "non
wandering theorem" in the context of foliations.
giovedi' - 15-04-2004 (17:00 - Sala Seminari) :
Vladimir Gerdt
Algorithmic Generation of Finite Difference Schemes for Differential
Equations
abstract:
We present an algorithmic technique for construction of fully conservative
finite difference schemes for partial differential equations. This technique
based on discretization of the initial equation in its conservation law form
together with some extra integral relations. It yields an algebraic system
for
discrete values of the sought functions and its derivatives. The difference
scheme is obtained by elimination of the derivatives what can be done by
construction of an appropriate pure algebraic Groebner or involutive basis.
We demonstrate the technique by the classical Laplace equation, heat
equation and wave equation. As a nontrivial example we consider also
nonlinear Falkowich-Karman equation describing transonic flow in gas
dynamics.
Giulia Curciarello
Segreteria Didattica
tel: 050-2213219
e-mail curciare(a)dm.unipi.it
_______________________________________________
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Venerdì 16 Aprile avranno inizio le lezioni del trimestre su "Analisi
Armonica" organizzato dal Centro De Giorgi, mentre proseguono le lezioni
del trimestre su "Analisi nello spazio delle fasi per equazioni a
derivate parziali".
Di seguito si invia il calendario delle lezioni che si terranno la
prossima settimana presso il Centro De Giorgi.
=========================================================================
CENTRO DI RICERCA MATEMATICA ENNIO DE GIORGI
"Phase Space Analysis of Partial Differential Equations"
&
"Harmonic Analysis"
14-16 Aprile 2004
Collegio Puteano, Sala Conferenze
Mercoledì 14
10-11: G. Métivier (Université Bordeaux I)
11-12: G. Métivier
16-17: D. Del Santo (Università di Trieste)
17-18: D. Del Santo
Giovedì 15
10-11: G. Métivier
11-12: G. Métivier
Venerdì 16
10-11: G. David (Université Paris Sud)
11-12: H. Koch (Universität Dortmund)
16-17: N. Dencker (Lunds Universitet)
17-18: N. Dencker
==============================================
CORSI:
G. David (Université Paris Sud), Analytic capacity, Menger curvature,
and rectifiability
D. Del Santo (Università di Trieste), Uniqueness in the Cauchy Problem
for Singular Principally Normal Operators
N. Dencker (Lunds Universitet), Solvability of Pseudodifferential Operators
H. Koch (Universität Dortmund), Dispersive estimates and applications
G. Métivier (Université Bordeaux I), Kreiss Symmetrizers and
Mutidimensional Stability of Shock Profiles
--
Ilaria Gabbani
Centro di Ricerca Matematica Ennio De Giorgi
Collegio Puteano, Scuola Normale Superiore
Piazza dei Cavalieri, 3
I-56100 PISA
Phone: ++39-050-509178
Fax: ++39-050-509177
e-mail: crm(a)crm.sns.it
http://www.crm.sns.it
martedi' - 06-04-2004 (17:00 - Sala Riunioni) :
Vladimir Gerdt
Involutive Bases and Differential Equations
argomento:non specificato
abstract:
In this talk we present the basic ideas and concepts of the involutivity
analysis of differential equation systems which goes back to the classical
Cauchy-Kovalevskaya theorem. As a specialization of these concepts to
polynomial systems we consider involutive bases of polynomial ideals.
These bases are nothing else then (generally redundant) Groebner bases and
we confront the involutive algorithm and the Buchberger algorithm in their
simplest forms. As an illustration of application of differential
involutive bases we reveal the structure of functional arbitrariness in the
general analytical solution of the two-dimensional Navier-Srokes equations
for an imcompressible fluid.
giovedi' - 15-04-2004 (17:00 - Sala Seminari) :
Vladimir Gerdt
Algorithmic Generation of Finite Difference Schemes for Differential
Equations
argomento:non specificato
abstract:
We present an algorithmic technique for construction of fully conservative
finite difference schemes for partial differential equations. This technique
based on discretization of the initial equation in its conservation law form
together with some extra integral relations. It yields an algebraic system
for
discrete values of the sought functions and its derivatives. The difference
scheme is obtained by elimination of the derivatives what can be done by
construction of an appropriate pure algebraic Groebner or involutive basis.
We demonstrate the technique by the classical Laplace equation, heat
equation and wave equation. As a nontrivial example we consider also
nonlinear Falkowich-Karman equation describing transonic flow in gas
dynamics.
Giulia Curciarello
Segreteria Didattica
tel: 050-2213219
e-mail curciare(a)dm.unipi.it
_______________________________________________
Settimanale mailing list
Settimanale(a)mail.dm.unipi.it
https://mail.dm.unipi.it/mailman/listinfo/settimanale