April 2004 - Notiziario - Mailing list — Dipartimento di Matematica, UniPI

[Settimanale] avvisi seminari
by Giulia Curciarello 06 Apr '04

06 Apr '04

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 _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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Centro De Giorgi: "Analisi nello Spazio delle fasi" e "Analisi Armonica"
by Centro De Giorgi 06 Apr '04

06 Apr '04

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

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[Settimanale] AVVISI DI SEMINARI
by Giulia Curciarello 02 Apr '04

02 Apr '04

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

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