RICERCA ITALIANA     

Programmi di ricerca simili:

• 1 - Problemi matematici delle teorie cinetiche classiche e quantistiche.
• 2 - Problemi matematici delle teorie cinetiche
• 3 - Modellistica numerica per il calcolo scientifico ed applicazioni avanzate
• 4 - Fenomeni di grande scala in sistemi di molte particelle e microstrutture in meccanica dei continui
• 5 - Dinamica dei fluidi e leggi di conservazione
• 6 - Equazioni alle derivate parziali e disuguaglianze funzionali: aspetti quantitativi, proprietà geometriche e qualitative, applicazioni.
• 7 - Sviluppo ed analisi di modelli matematici e di metodi numerici per equazioni alle derivate parziali per le applicazioni a problemi ambientali ed industriali
• 8 - Metodi numerici avanzati per il calcolo scientifico
• 9 - Sintesi automatica di modelli astratti a partire da dati temporali o spaziali
• 10 - Web Ram: web retrieval and mining

Classificazione scientifico-disciplinare

• Area scientifico disciplinare: Scienze matematiche e informatiche
  • FISICA MATEMATICA
  • ANALISI NUMERICA

Classificazione brevettuale

• ELECTRICITY
  • ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
    • PLASMA TECHNIQUE (fusion reactors G21B; ion-beam tubes H01J27/00; magnetohydrodynamic generators H02K44/08; producing X-rays involving plasma generation H05G2/00); PRODUCTION OF ACCELERATED ELECTRICALLY-CHARGED PARTICLES OR OF NEUTRONS (obtaining neutrons from radioactive sources G21, e.g. G21B, G21C, G21G); PRODUCTION OR ACCELERATION OF NEUTRAL MOLECULAR OR ATOMIC BEAMS (atomic clocks G04F5/14; devices using stimulated emission H01S; frequency regulation by comparison with a reference frequency determined by energy levels of molecules, atoms, or subatomic particles H03L7/26)
• PHYSICS
  • COMPUTING; CALCULATING; COUNTING (score computers for games A63; combinations of writing applicances with computing devices B43K29/08)
    • COMPUTER SYSTEMS BASED ON SPECIFIC COMPUTATIONAL MODELS [N0004]

Classificazione geografica

• Regione: Lombardia

Bibliografia

[1] ANILE A.M., MASCALI G., ROMANO V. (2003) Recent Developments in Hydrodynamical Modeling of Semiconductors. In lecture Notes in Mathematics Vol. 1823, pp. 1-56, Springer, Berlin.

[2] BANASIAK J., FROSALI G., SPIGA G. (2000) Inelastic scattering models in transport theory and their small mean free path analysis. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Vol. 23 pp. 121-145

[3] BANASIAK J., FROSALI G., SPIGA G. (2002) Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits - reference manual. TRANSPORT THEORY AND STATISTICAL PHYSICS. Vol. 31 (3) pp. 187-248

[4] BIRD G.A. (1995) Molecular gas dynamics and the direct simulation of gas flows. The Clarendon Press, Oxford University Press, New York.

[5] BISI M., CARRILLO J.A., TOSCANI G. (2005) Contractive metrics for a Boltzmann equation for granular gases: diffusive equilibria. JOURNAL OF STATISTICAL PHYSICS. Vol. 118, pp. 301-331

[6] BISI M., GROPPI M., SPIGA G. (2005). Kinetic Modelling of Bimolecular Chemical Reactions. In “Kinetic Models of Granular and Reacting Flows” G.TOSCANI Ed. (Quaderni di Matematica Vol.16 pp. 1-145). [Mathematics Series], Aracne Editrice, Roma, pg. III + 336

[7] BISI M., SPIGA G., TOSCANI G. (2004). Grad's equations and hydrodynamics for weakly inelastic granular flows. PHYSICS OF FLUIDS. Vol. 16 pp. 4235-4247

[8] BOBYLEV A.V., CARRILLO J.A., GAMBA I. (2000). On some properties of kinetic and hydrodynamics equations for inelastic interactions, J. STATIST. PHYS. Vol. 98 pp. 743–773.

[9] BRILLIANTOV N.; POESCHEL T. (2004) Kinetic Theory of Granular Gases. Oxford Graduate texts, Oxford University Press.

[10] CARRILLO A., GAMBA I.M., MAJORANA A., SHU C.-W. (2006) 2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods. J. COMPUT PHYS., Vol. 214, pp. 55-80

[11] CORDIER S., PARESCHI L., TOSCANI G. (2005) On a kinetic model for a simple market economy. J. STATIST. PHYS. Vol. 120, pp. 253-277

[12] DEGOND P, RINGHOFER C. (2003) Quantum moment hydrodynamics and the entropy principle, J. STATIST. PHYS. Vol. 112(3-4), pp. 587-628

[13] DRAGULESKU A., YAKOVENKO V.M. (2000) Statistical mechanics of money, EUR. PHYS. J. B., Vol.17, pp. 723-729

[14] ERNST M.H., BRITO R. (2002) Scaling solutions of inelastic Boltzmann equation with over-populated high energy tails. JOURNAL OF STATISTICAL PHYSICS, Vol. 109, pp. 407-432

[15] FILBET F., PARESCHI L., TOSCANI G. (2005) Accurate numerical methods for the collisional motion of (heated) granular flows, J. COMPUT. PHYS. Vol. 202 (1) pp. 216-235

[16] GABAIX X., GOPIKRISHNAN P., PLEROU V., STANLEY H.E. (2003) A Theory of Power-
Law Distributions in Financial Market Fluctuations, NATURE Vol. 423, pp. 267-270

[17] GABETTA E., PARESCHI L., TOSCANI G. (1997) Relaxation schemes for nonlinear kinetic
equations SIAM J. NUM. ANAL. Vol. 34 pp. 2168–2194

[18] GIOVANGIGLI V. (1999) Multicomponent flow modelling, Birckhauser, Boston

[19] LODS B., TOSCANI G., (2005), Long time behavior of non--autonomous Fokker--Planck equations and the cooling of granular gases., UKRAINIAN MATH. J., Vol. 57 (6) pp. 778-789

[20] MARKOWHICH P., RINGHOFER Ch.A. , SCHMEISER Ch. (1990) Semiconductor equations, Springer Verlag, Wien.

[21] MODUGNO M., MORANDI O. (2005) A multiband envelope function model for quantum transport in a tunneling diode, PHYS. REV. B Vol. 71, 235331

[22] PARESCHI L., RUSSO G. (2001) Time relaxed Monte Carlo methods for the Boltzmann equation SIAM J. SCI. COMPUT. Vol. 23 pp.1253-1273.

[23] PARESCHI L., RUSSO G., TOSCANI G. (2000) Fast spectral methods for the Fokker-Planck-Landau equation, J. COMPUT. PHYS. Vol.165, pp. 216--236.

[24] PARESCHI L., RUSSO G., TOSCANI G. (2004) A kinetic approximation of Hele-Shaw flow, COMPTES RENDUS MATHEMATIQUE. Vol. 338 (2), Série I, pp. 177-182

[25] PARESCHI L., RUSSO G., TOSCANI G. Eds. (2005) Modelling and Numerics of Kinetic Dissipative Systems, Nova Science Publishers, New York, pg. II + 230

[26] PARESCHI L., TOSCANI G. (2004) Modelling and numerical methods for granular gases, pp. 259-285, in "Modelling and Computational Methods for Kinetic Equations", DEGOND P., PARESCHI L., RUSSO G. Eds., Birkhauser, Boston

[27] PARETO V. (1897) Cours d’Economie Politique, Lausanne and Paris.

[28] PETRINA D.Y. (1995) Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems, Springer-Verlag, Berlin

[29] RASH W. (1997) Politics on the nets: wiring the political process, Freeman, New York.

[30] SPIGA G., TOSCANI G. (2004) The dissipative linear Boltzmann equation. APPLIED MATHEMATICS LETTERS. Vol. 17 pp. 295-301

Parole Chiave

TEORIA CINETICA, EQUAZIONI DI TIPO BOLTZMANN, GAS GRANULARI, DISPOSITIVI A SEMICONDUTTORE, TRASPORTO MULTIBANDA, TERMODINAMICA ESTESA, SIMULAZIONI MONTE CARLO, METODI NUMERICI PER LEGGI DI BILANCIO, ANALISI ASINTOTICA