ELENCO
delle PUBBLICAZIONI
di
Giovanni BORGIOLI
Pubblicazioni su Riviste con
Referee
- G.Borgioli, E. Di Benedetto, M. Ughi, ``Stefan problems
with nonlinear boundary conditions: the polygonal
method", Z. Angew. Math. Mech. 58, 539- 546
(1978).
- G.Borgioli, G. Busoni, G. Frosali, ``Strict solution of a
nonlinear evolution problem in a time dependent
domain", Nonlinear Analysis 4(6), 1135-
1149 (1980).
- G.Borgioli, ``On the stationary integral equation for
speed dependent neutron transport in a cylindrical
system", Boll. Un. Mat. Suppl. (Fisica
Matematica) 2, 91-112 (1983).
- G.Borgioli, G. Frosali, C.V.M. van der Mee, ``A
stationary criticality problem in general Lp-space for
energy dependent neutron transport in cylindrical
geometry", Z. Angew. Math. Phys. 35,
166-180 (1984).
- G.Borgioli, G. Frosali, C.V.M. van der Mee, ``Comparison
of the critical eigenvalues for integral neutron
transport equation in different geometries", Transp.
Theor. Stat. Phys. 14(2), 223-252 (1985).
- G.Borgioli, G. Frosali, ``Criticality transport problems
for spherical systems with specular type boundary
conditions" Transp. Theor. Stat. Phys. 15
(6& 7), 937-958 (1986).
- G.Borgioli, S. Totaro, ``A particle transport problem
with a quadratic nonlinearity and general boundary
conditions: the stationary solution", Meccanica,
25, 12-17, (1990).
- G.Borgioli, S.Totaro, ``Semigroup properties of the
streaming operator with multiplying boundary
conditions", Transp.Theor.Stat.Phys.,
23(7), 1035- 1049 (1994).
- G.Borgioli, S.Totaro, ``Semigroup generation properties
of the streaming operator in dependence of the boundary
conditions", Transp.Theor.Stat.Phys.,
25(3--5), 491--502 (1996)
- G.Borgioli, V.Gerasimenko, G.Lauro, R.Monaco, ``Many
particles dynamical system formulation for the discrete
Enskog gas", Transp.Theor.Stat.Phys.,
25(3--5), 581--592 (1996).
- G.Borgioli, S.Totaro, ``3D-streaming operator with
multiplying boundary conditions: semigroup generation
properties", Semigroup Forum, 55, 110--117
(1997).
- G.Borgioli, V.Gerasimenko, G.Lauro, R.Monaco, ``A
discrete velocity model of a gas: global in time
solutions of the BBGKY hierarchy", Reports on
Mathematical Physics, 40(3), 431--442 (1997).
- G. Borgioli, V. Gerasimenko, G. Lauro, ``Derivation of a
discrete Enskog equation from the dynamics of particles
", Rend. Sem. Mat. Univ. Pol. Torino, 56(2)
57-70 (1998)
- G. Borgioli, V .Gerasimenko, Semigroups generated ny the
dual BBGKY hierarchy, in Proceedings of the International
Conference on Mathematical Physics, "Quest for
Mathematical Physics", Vol.I, 103-118, Nagpur
University (India), 1999.
- G.Borgioli, G.Frosali and P.F.Zweifel, Wigner approach to
the two-band Kane model for a tunneling diode, XVII
International Conference on Transport Theory ICTT
2001 , London, Imperial College, 8-14 july 2001,
(submitted on Transport Theory Statist. Physics)
- G. Borgioli, V .Gerasimenko, The dual BBGKY hierarchy for
the evolution of observable, Rivista Mat. Univ. Parma
2001.
- G. Borgioli, M.Camprini, Schrodinger-like model for
interband tunneling in heterogeneous semiconductor
devices: a current estimate, Proc. XI Int. Conf. on
Waves and Stability in Continuous Media, Porto
Ercole, June 4-9, 2001, Word Scientific (Singapore) 2001
Pubblicazioni su Atti di
Congressi Internazionali con Referee
- G.Borgioli, R.Monaco, G.Toscani, ``The semidiscrete
Enskog equation", in Proceedings of ``Waves and
Stability in Contiunuous Media", S.Rionero ed.,
35-40, World Scientific, Singapore (1991).
- G.Toscani, G.Borgioli, A.Pulvirenti, ``On the Cauchy
problem for the semidiscrete Enskog equation", in
Proceedings of ``Advances in Kinetic Theory and Continuum
Mechanics", R.Gatignol et als. eds., Lecture Notes
in Physics, 91-98, Springer Verlag, Berlin(1991).
- G.Borgioli, G.Lauro, R.Monaco, ``On the discrete velocity
models of the Enskog equation", in Proceedings of
the Workshop ``Nonlinear Kinetic Theory and Mathematical
Aspects of Hyperbolic Systems", V.Boffi et als.
eds., 38-47, World Scientific, Singapore (1992).
Pubblicazioni su Atti di
Congressi Nazionali
- G.Borgioli, G. Frosali, ``L'operatore integrale del
trasporto dipendente dall'energia in geometria cilindrica
nello spazio L1, Atti VI Congresso Nazionale AIMETA,
Sez.1, 60-67, Genova (1982).
- G.Borgioli, S. Totaro, ``On the spectrum of the transport
operator with mixed type boundary conditions", Atti
VIII Congresso Nazionale AIMETA, Vol. I, 393-398, Torino
(1986).
- G.Borgioli, S. Totaro, ``Stationary solution for a
particle problem with quadratic nonlinearities",
Atti IX Congresso Nazionale AIMETA, Vol. I, 29-32, Bari
(1988).
Rapporti interni non seguiti da
pubblicazione su Rivista
- G.Borgioli, E. Di Benedetto, M. Ughi, ``Il metodo di
Huber per problemi a contorno libero con dominio
inizialmente degenere", Rapporto interno n.10,
Istituto Matematico ``U. Dini", Universit\`a di
Firenze (1976-77).
- G.Borgioli, V.Gerasimenko, G.Lauro, R.Monaco, ``A
discrete velocity model of a gas of hard disks: global in
time solution of the BBGKY hierarchy", Rapporto
interno del Dipartimento di Matematica del Politecnico di
Torino, n. 12 (1994).
- G. Borgioli, V. Gerasimenko, ``Semigroups generated by
the dual BBGKY hierarchy", Rapporto Interno n.
961101 del Dipartimento di Ingegneria Elettronica,
Universit\`a degli Studi di Firenze (1996)
- G. Borgioli, V. Gerasimenko, G. Lauro, R. Monaco,
``Hydrodynamic limit of the BBGKY hierarchy for a
discrete velocity model of a gas", Rapporto Interno
n. del Dipartimento di Matematica Applicata ``G.
Sansone", Università degli Studi di Firenze (1996)
Libri
- G. Borgioli: Modelli Matematici di Evoluzione ed
Equazioni Differenziali, CELID, Torino (1996).