 Principali
linee di ricerca di G. Frosali
- Problemi
stazionari ed evolutivi di trasporto di
particelle: particelle cariche e
semiconduttori.
- Modelli
multibanda per semiconduttori.
- Modelli
quanto-idrodinamici per dispositivi a
semiconduttore.
- Analisi
asintotica. Il metodo di Chapman-Enskog
modificato applicato a problemi con
scattering anelastico.
- Metodi
di analisi funzionale applicata.
- Processi
fluidodinamici con interazioni di tipo
dissipativo.
- Metodi
matematici applicati allo studio di
vibrazioni di strutture a contatto con fluidi.
 Pubblicazioni
scientifiche recenti (dal 1996)
- Free
vibrations of annular plates coupled with
fluids, J. Sound Vibration 191(5),
825-846 (1996) (con M.Amabili e M.K.Kwak)
- On
the long-time behaviour of runaway solutions
in charged particle transport problems,
Transport Theory Statist. Phys. 25(3-4) 353-367
(1996) (con G. Busoni)
- Effect
of short-range binary collisions on the
stability properties of longitudinal plasma
waves , Sommari del III Congresso Naz. Soc.
Ital. di Matematica Industriale e Applicata,
SIMAI 96, SaliceTerme, 27-31 maggio 1996, pp.
526-528 (con L. Demeio)
- Vibrational
modes of bolted plates: theoretical and
numerical investigations, Sommari del III
Congresso Naz. Soc. Ital. di Matematica
Industriale e Applicata, SIMAI 96 , Salice
Terme, 27-31 maggio 1996, pp. 639-641 (con M.
Amabili e R. Pierandrei)
- Comparative
study of the modal behaviour of bolted and
clamped plates, In G. Augusti, C. Borri and P.
Spinelli (Eds.), "Structural Dynamics -
EURODYN 96", vol.602 A.A. Balkema,
Rotterdam, 1996, pp. 663-669 (con M. Amabili
e R. Pierandrei)
- Effect
of short-range binary collisions on the
stability properties of longitudinal plasma
waves: case of velocity-dependent collision
frequency, Dipartimento di Matematica ``V.
Volterra", Università di Ancona,
Rapporto n. 7 , 1996 (con L. Demeio)
- A
scaled mathematical model for interaction of
algae with light: formal derivation of a
diffusion-like model, Dipartimento di
Matematica ``V. Volterra" , Università
di Ancona, Rapporto n. 13 , 1996 (con S.
Totaro)
- A
scaled nonlinear mathematical model for
interaction of algae with light: existence
and uniqueness results, Transport Theory
Statist. Phys. 26(1-2) 27-48 (1997) (con S.
Totaro
- Analysis
of vibrating circular plates having non-uniform
constraints using the modal properties of
free-edge plates: application to bolted
plates, J. Sound Vibration 206(1), 23-38 (1997)
(con M. Amabili e R. Pierandrei)
- Diffusion
approximation for a mathematical model for
interaction of algae with light. Atti del
Convegno "La Matematica nei problemi
dell'Ambiente, della Biologia e della
Medicina", (Urbino, 1996), Studi
Urbinati, Anno I Ser.A (1), 115-126 (1997) (con
S. Totaro)
- Asymptotic
analysis of kinetic equations in runaway
regime, Atti XIII Congresso Naz. Aimeta , 1,
95-100 (1997) (con L. Demeio)
- Asymptotic
analysis for a particle transport problem in
a moving medium, IMA Journal of Applied
Mathematics 60, 1-19 (1998)
- Diffusion
approximations of the Boltzmann equation:
comparison results for linear model problems,
Atti Sem. Mat. Fis. Univ. Modena , Suppl. Vol.
46, 653-675 (1998) (con L. Demeio)
- Asymptotic
analysis for a particle transport equation
with inelastic scattering in extended kinetic
theory, Math. Models Methods Appl. Sci. 8(5),
851-874 (1998) (con J. Banasiak e G. Spiga)
- Approximate
solutions of kinetic equations in runaway
regime: Laplace transform analysis, Rend.
Circ. Mat. di Palermo Ser.II Suppl. 57, 211-216
(1998) (con L. Demeio)
- Book
Review: "Singularly Perturbed Evolution
Equations with Applications to Kinetic
Theory," by J.R. Mika and J. Banasiak,
Transport Theory Statist.Phys. 27(2) 199-200
(1998)
- On
the real eigenvalue for vibrating structures
coupled with quiescent liquids with free
surface, J. of Fluids and Structures, Letter
to the Editor, 14, 147-149 (1999) (con M.
Amabili e M.Landucci)
- Different
scalings in the asymptotic analysis for
kinetic equations with elastic and inelastic
scattering, Dipartimento di Matematica ``V.
Volterra", Università di Ancona,
Rapporto n. 2, 1999 (con L. Demeio)
- Diffusion
approximations of kinetic equations with
elastic and inelastic scattering: a
comparison of different scalings, Sommari del
IV Congresso Naz. Soc. Ital. di Matematica
Industriale e Applicata, SIMAI 98 , Giardini
Naxos (Messina), 1-5 giugno 1998, Vol.2, pp.
316-319 (con L. Demeio)
- Diffusion
limits of the linear Boltzmann equation in
extended kinetic theory: weak and strong
inelastic collisions, Rend. Seminario Univ.
Milano, Vol. LXIX, 51-81 (1999-2000) (con L.
Demeio)
- Inelastic
scattering models in transport theory and
their small mean free path analysis, Math.
Methods Appl. Sci. 23, 121-145 (2000) (con J.
Banasiak e G. Spiga)
- Tunneling
current in resonant interband tunneling diode
(RITD), Sommari del V Congresso Naz. Soc.
Ital. di Matematica Industriale e Applicata,
SIMAI 2000, Ischia Porto, 5-9 giugno 2000, pp.
558-561 (con L. Barletti, G. Borgioli, M.
Camprini e A.Cidronali)
- Special
Issue devoted to the Proceedings of the
International Conference on Models and
Numerical Methods in Transport Theory and in
Mathematical Physics of Transport Theory
Statist. Phys. 29 (1&2) (2000). Guest
Editors: Giovanni Frosali and Giampiero
Spiga, Editor: John J. Dorning
- Theoretical
and numerical comparison of hydrodynamic
limits for kinetic equations with elastic and
inelastic scattering, In V. Ciancio et al (Eds.),
Proceedings WASCOM99, X Int. Conf. on Waves
and Stability in Continuous Media, World
Scientific, Singapore, 2001, pp. 146-158 (con
L. Demeio)
- Space
homogeneous solutions of the linear Boltzmann
equation for semiconductors: a semigroup
approach, Proceedings WASCOM2001 - XI Int.
Conf. on Waves and Stability in Continuous
Media, World Scientific, Singapore, 2002, pp.34-40
(with J. Banasiak, and F. Mugelli)
- Interplay
of elastic and inelastic scattering operators
in extended kinetic models and their
hydrodynamic limits - reference manual,
Transport Theory Statist. Physics 31(3), 187-248
(2002) (with J. Banasiak and G. Spiga)
- Conditions
for runaway phenomena in kinetic theory
revisited, Sommari del V Congresso Naz. Soc.
Ital. di Matematica Industriale e Applicata,
SIMAI 2002, Chia Laguna, 27-31 maggio 2002,
Versione su CD - 12 pagg. (with C. van der
Mee and F. Mugelli)
- Wigner
approach to the two-band Kane model for a
tunneling diode, Transport Theory Statist.
Phys. 32(3&4), 347-366, 2003 (with. G.Borgioli
and P.F.Zweifel)
- A
characterization theorem for the evolution
semigroup generated by the sum of two
unbounded operators, Math. Methods Appl. Sci.
27(6) 669-685 (2004) (with C.van der Mee and
F.Mugelli)
- Quantum
hydrodynamic equations for a two-band Wigner-Kane
model, In R. Monaco et al. (Eds.),
Proceedings WASCOM2003 - 12th Conference on
Waves and Stability in Continuous Media,"
World Scientific, Singapore, 2004, pp. 78-84
(with S. Biondini and F. Mugelli)
- On
the quantum hydrodynamic models for the two-band
Kane system, Nuovo Cimento B 120(12), 1279-1298
(2005) (with G. Alì)
- Summer
School on "Methods and Models of Kinetic
Theory" (M\&MKT 2004). Held in Porto
Ercole, June 6-12, 2004. Riv. Mat. Univ.
Parma (7) 4**(2005) Editors: L. Desvillettes,
G. Frosali, R. Monaco, G. Spiga, G. Toscani.
- On
the drift-diffusion model for a two-band
quantum fluid at zero-temperature, Ukrainian
Math. J. 57(6), 723-730 (2005) (with G. Alì
and C. Manzini)
- Different
approaches for multi-band transport in
semiconductors, Ukrainian Math. J. 57(6), 742-748
(2005) (with G. Borgioli, O. Morandi, and M.
Modugno)
- Two-band
quantum hydrodynamic models arising from the
Bloch envelope theory, In A.M.Anile, G.Alì,
G.Mascali (Eds.) Scientific Computing in
Electrical Engineering, Mathematics in
Industry, Vol.9 Springer, 2006, pp. 271-276 (with
G. Alì, O. Morandi)
- Hydrodynamic
models for a two-band nonzero-temperature
quantum fluid. In R. Monaco et al. (Eds.),
Proceedings WASCOM2005 - 13th Conference on
Waves and Stability in Continuous Media,"
World Scientific, Singapore, 2006, pp. 53-58
(with G. Borgioli and C. Manzini)
- Corrected
quantum drift-diffusion equation via
compressed Chapman-Enskog expansion, Sommari
del VII Congresso Naz. Soc. Ital. di
Matematica Industriale e Applicata, SIMAI
2006, Ragusa, 2006, Versione elettronica - 12
pagg. DOI: 10.1685/CSC06085 (with C. Manzini)
- A
quantum kinetic approach for modeling a two-band
resonant tunneling diode, Transport Theory
Statist. Physics 36, 159-177 (2007) (with O.
Morandi)
- Multiband
quantum transport models for semiconductor
devices. In C. Cercignani and E. Gabetta (Eds.),
``Transport Phenomena and Kinetic Theory",
Modeling and Simulation in Science,
Engineering and Technology, Birkhäuser,
Boston, 2007, pp. 55-89 (with L. Barletti and
L. Demeio)
- Rigorous
drift-diffusion asymptotics of a quantum
transport equation in the high-field case,
October 2006, Preprint (with C. Manzini)
- Derivation
of a quantum hydrodynamic model in the high-field
case. In N. Manganaro et al. (Eds.) “Proceedings
WASCOM2007 - 14th Conference on Waves and
Stability in Continuous Media,” World
Scientific, Singapore, 2008, pp.60-65 (with G.
Borgioli and C. Manzini)
- Quantum
high-field corrections to a drift-collision
balance model of semiconductor transport, 20th
International Conference on Transport Theory,
ICTT 2007, Obninsk, Russia, July 22-28, 2007,
(with G. Borgioli and C. Manzini). To appear
on Transport Theory Statist. Phys.
- Modello
matematico per la simulazione del
comportamento dinamico di un veicolo a due
ruote di tipo scooter in marcia rettilinea,
XXXVI Convegno Nazionale Associazione
Italiana per l'Analisi delle Sollecitazioni
AIAS, Napoli, 4-8 settembre 2007 (with R.
Capitani, A. Meneghin, and A. Baldussu).
- A
mathematical model for dynamic simulation of
motorcycle in the rectilinear motion,
preprint 2007 (with R. Capitani, A. Meneghin,
and A. Baldussu).
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