Publications and recent preprints
(back to Irene's web
page)
85- M. Bostan and I.M. Gamba,
Impact of strong magnetic fields on collision mechanism for
transport of charged particles
Submitted for publication, arXiv:1205.2327v1 [math.AP] (2012).
84-Y. Cheng, I.M. Gamba and P.J. Morrison,
Study of Runge-Kutta discontinuous Galerkin schemes for one-dimensional Vlasov-Poisson systems
(2012).
83-
R.J. Alonso, J.A. Canizo, I.M. Gamba and C. Mouhot,
A new approach to the creation and propagation of exponential moments in the Boltzmann equation,
submitted for publication (2012), preprint at arXiv:1203.2364v1 [math.AP].
82-R.J. Alonso, I.M. Gamba and S.H. Tharkabhushaman,
Convergence of the
Lagrangian based Conservative Spectral method for Space-homogeneous non-linear Boltzmann Equation for hard potentials,
(2011).
81-Y. Cheng and I.M. Gamba,
Numerical study of
Vlasov-Poisson equations for infinite homogeneous stellar systems
Communications in Nonlinear Science and Numerical Simulation, Vol. 17, Is. 5, pages 2052 - 2061, (2012).
80- N. Ben Abdallah, I.M. Gamba and G. Toscani
On the minimization problem of sub-linear convex functionals
Kinetic Related Models, Vol 4 No.4 pp 857 - 871, (2011).
79- Ricardo Alonso and I.M. Gamba,
Gain of integrability for the
Boltzmann collisional operator
Kinetic and Related Models, Vol 4, no 1, pages 41 - 51, (2011).
78- Yingda
Cheng, I.M. Gamba, A. Majorana, and C-W Shu, Discontinuous Galerkin
methods for the Boltzmann-Poisson systems in semiconductor device simulations
AIP Conference Proceedings, v1333 (2011), pp. 890 - 895.
77- Yingda
Cheng, I.M. Gamba, A. Majorana, and C-W Shu, Performance
of a Discontinuous Galerkin Solvers for Semiconductor
Boltzmann Equations
Proceeding of IWCE14, pp.211 - 214,
(2010).
76- Yingda
Cheng, I.M. Gamba, A. Majorana, and C-W Shu, A
brief survey of the discontinuous Galerkin method for the
Boltzmann-Poisson
equations, SEMA J. No. 54 , pp. 47 - 64, (2011).
75- Yingda Cheng, Irene M. Gamba, Kui Ren, Recovering
doping profiles in semiconductor devices with the Boltzmann-Poisson model,
J. Comput. Phys., 230, (2011), pp. 3391-3412.
74- A. Arnold, I.M.Gamba, M.P.Gualdani, S. Mischler, C. Mouhot and C. Sparber;
The Wigner-Fokker-Planck equation: Stationary states and large time behavior.,
To appear in Mathematical Models and Methods in Applied Sciences (M3AS). arXiv:1010.2791v3 [math.AP], 2011
73- R. E. Heath, I. M. Gamba, P. J. Morrison,
C. Michler, A
discontinuous Galerkin method for the Vlasov-Poisson system,
Journal of Computational Physics, Volume 231, Issue 4, 20 February 2012, pp 1140 - 1174(arXiv:1009.3046v2 [physics.plasm-ph])
.
72- A.V. Bobylev and I. M. Gamba, Solutions
of the linear Boltzmann equation and some Dirichlet series ,
Forum Mathematicum, Vol. 24, Issue 2, pp
239 - 251, (2012). Published online: 09/09/2010 DOI:10.1515/FORM.2011.058 (2010).
71- M. Bostan, I.M. Gamba, and T. Goudon, The
linear Boltzmann equation with space periodic electric field,
Amer. Math. Soc. Transl. (2) Vol 229 pp 51-66 (2010).
70- Yingda Cheng, I.M. Gamba, A. Majorana,
and C-W Shu, A
Discontinuous Galerkin Solver for Full-Band Boltzmann-Poisson Models,
13th International Workshop on Computational Electronics Proceedings, pp
211-214, (2009).
69- I.M. Gamba, A. Jungel and A. Vasseur , Global
existence of solutions to one-dimensional viscous quantum hydrodynamic
equations,
Journal of Differential Equations, 247, 3117- 3135, (2009).
68-I.M.
Gamba and Sri Harsha Tharkabhushaman, Shock
and Boundary Structure formation by Spectral-Lagrangian methods for the
Inhomogeneous Boltzmann Transport Equation,
Jour. Comp. Math, Vol.28, No.4, 2010, pp. 430-460.
67- R. Alonso and I.M.Gamba,
A revision on Classical solutions to the Cauchy
Boltzmann problem for soft potentials,
J. Stat. Phys. 143, no. 4, pp. 740 - 746. (2011)
66- R. Alonso and I.M.Gamba, Distributional
and classical solutions to the Cauchy Boltzmann problem for soft potentials
with integrable angular cross section,
Journal of Statistical Physics, V 137, Numbers 5-6, 1147 - 1165 (2009)
65- R.
Alonso,
Comm. Math. Physics Volume 298, Number 2, 293-322, 2010.
64-
I.M. Gamba, M.P. Gualdani and C. Sparber, A
note on the time decay of solutions for the linearized Wigner-Poisson system,
Journal Kinetic and Related Models , 2 (2009), no. 1, 181-189. .
63-
Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, A
discontinuous Galerkin solver for
Boltzmann Poisson systems in nano devices,
Comput. Methods Appl. Mech. Engrg. 198 (2009), no. 37-40, 3130--3150
62- I.M.
Gamba, M.P. Gualdani and R. Sharp, An
Adaptable Discontinuous Galerkin Scheme for the Wigner-Fokker-Planck Equation,
Commun. Math. Sci. Vol. 7, No. 3 pp. 635-664 (2009).
61- M. Bostan,
To appear in Indiana University Mathematics Journal (2010).
60- Yingda Cheng, I.M. Gamba, A. Majorana,
and C-W Shu, Discontinuous
Galerkin Solver for Boltzmann-Poisson transients,
Journal of Computational Electronics, (2008) 7:119-123.
59 - R. Alonso and I.M.Gamba, L1-L∞
Maxwellian bounds for the derivatives of the solution of the homogeneous
Boltzmann equation.
Journal de Mathematiques Pures et Appliquees, (9) 89 (2008), no. 6, 575--595
58 - I.M. Gamba and Sri Harsha
Tharkabhushaman, Spectral -
Lagrangian based methods applied to computation of Non - Equilibrium
Statistical States.
Journal of Computational Physics 228 (2009) 2012-2036.
57 -
Yingda Cheng, Irene M. Gamba, Armando Majorana and Chi-Wang Shu, Discontinuous
Galerkin Solver for the Semiconductor Boltzmann Equation,
Simulations of Semiconductor Processes And Devices, Vol 12, Springer Wien New
York, Edited by T. Grasser and S. Selberherr September 2007; 257-260 (2007).
56 -
Yingda Cheng, I.M. Gamba and Jennifer Proft, Positivity-Preserving Discontinuous
Galerkin Schemes for Linear
Vlasov-Boltzmann Transport Equations,
To appear in Mathematics of Computing (2010).
55-
I.M. Gamba, M.P. Gualdani and Ping Zhang, On
the blowing up of solutions to the quantum hydrodynamic equations in a bounded
domain,
Monatshefte Matematik (2009) 157: 37-54.
54 -
I.M. Gamba, V. Panferov and C. Villani, Upper
Maxwellians bounds for the spatially homogeneous Boltzmann equation.
Arch.Rat.Mech.Anal, 194 . (2009), 253-282
53 -
M.J.Caceres, J.Carrillo, I.M.Gamba, A.Majorana and C.W.Shu, Deterministic
kinetic solvers for charged particle transport in semiconductor devices in
Transport Phenomena and Kinetic Theory.
Applications to Gases, Semiconductors, Photons, and Biological Systems Series:
Modeling and Simulation in Science, Engineering and Technology. Cercignani,
Carlo and Gabetta, Ester (Eds.) (2007).
51 -
A.V. Bobylev, C. Cercignani and I. M. Gamba, On
the self-similar asymptotics for generalized
non-linear kinetic Maxwell models,
Commun. Mathematical Physics 291, 599 - 644 (2009).
(original version
at arXiv:math-ph/0608035)
47 -
Jing Shi, I.M. Gamba, A Unitary
Hermite Spectral Method for Quantum Liouville-von Neumann Equation. Preprint
(2005).
46 -
I.M. Gamba, S. Rjasanow and W. Wagner, Direct
simulation of the uniformly heated granular Boltzmann equation.
Math. Comput. Modelling 42 (2005), no. 5-6, 683--700.
45 -
A.V. Bobylev, I.M. Gamba and V. Panferov, Moment
inequalities and high-energy tails for Boltzmann equations wiht inelastic
interactions,
J. Statist. Phys. 116, no. 5-6, 1651-1682.(2004).
44 -
I.M. Gamba, V. Panferov and C. Villani, On
the Boltmann Equation for diffusively excited granular media,
Commun. Math. Phys. 246, 503-541 (2004).
43 - N.
Ben Abdallah, I.M. Gamba and A. Klar, The Milne
problem for high field kinetic equations ,
SIAM
42 -
J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A
direct solver for 2D nonstationary Boltzmann-Poisson Systems for Semiconductor
Devices: A MESFET simulation by WENO-Boltzmann schemes,
Journal of Computational Electronics, 2: 375-380 (2005).
41 -
Luis Caffarelli, Valentino Crespi, George Cybenko, Daniela Rus, Irene M. Gamba, Stochastic
Distributed Algorithms for Target Surveillance. Proceedings of Intelligent
Systems and Design Applications (ISDA2003),
40 -
J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A
WENO-solver transients of Boltzmann-Poisson system for semiconductor devices.
Performance and Monte Carlo comparisons, Journal of Computational Physics,
Vol 184, no. 2, 498-525, (2003).
39 -
Gamba, V. Panferov and C. Villani,
On the
inelastic Boltzmann equation with diffusive forcing. Nonlinear problems in
mathematical physics and related topics, II, In Honor of Professor O.A.
Ladyzhenskaya 179-192, Int. Math. Ser. (N. Y.), 2, Kluwer/Plenum,
38 -
K. Suzanne Barber, Irene M. Gamba, and Cheryl E. Martin. Representing and Analysing Adaptive
Decision Making Frameworks. Agent Autonomy, Kluwer series: Multi-Agent Systems,
Artificial Societies, and Simulated Organizations, Gerhard Weiss (editor),
Chapter 3, (2003). (Workshop on Autonomy Oriented Computation (AOC),
(invited) 5th International Conference on Autonomous Agents, pp. 12-20, May
28-June 1, 2001, Montreal, Canada.)index.html
37 -
K. Suzanne Barber, Irene M. Gamba, and Cheryl E. Martin. Analysis of Adaptive Decision-Making
Frameworks: Motivation for Adjusting Autonomy through Decision-Making Control.
Proceedings for the IJCAI-01 Workshop on Autonomy, Delegation, and Control:
Interacting with Autonomous Agents. pp. 9-13, August 4-10, (2001),
36 -
J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A WENO-solver for
the 1D non-stationary Boltzmann-Poisson system for semiconductor devices.
Journal of Computational Electronics, v1 (2002), pp.365-370.
35 -
N. Ben Abdallah, P. Degond and I. Gamba, Hybrid-quantum-kinetic
models for the coupling kinetic and quantum effect., J. Math. Phys. 43
(2002), no. 1, 1-24.(2002).
34 -
I.M. Gamba and A. Jungel, Asymptotic
limits for Quantum Trajectory Models,
Comm. Partial Differential Equations 27 (2002), no. 3-4, 669-691.(April, 2002).
33 -
J.A. Carrillo, I.M. Gamba, O. Muscato and C.W. Shu, Comparison
of Monte Carlo and deterministic simulations of a silicon diode, Simulation
of Transport in Transition Regimes, (
32 -
A.V. Bobylev, J.A. Carrillo and I.M. Gamba, Erratum
on: "On some properties of kinetic and hydrodynamic equations for
inelastic interactions", Journal Stat. Phys., vol. 103, no. 5-6, 1137
- 1138 (2001).
31 - M.A. Anile, J.A. Carrillo, I.M. Gamba and C.W. Shu, Approximation of the BTE by a relaxation-time operator: simulations for a 50nm-channel Si diode, VLSI Design Journal 13, 349-354 (2001)
30 -
C. Cercignani, I.M. Gamba, C.L. Levermore, A
Drift-Collision Balance asymptotic for a Boltzmann-Poisson System in Bounded
Domains, SIAM J. Appl. Math., Vol 61, No. 6, pp 1932-1958, (2001).
29 -
I.M. Gamba and A. Jungel, Positive
solutions to singular second and third order differential equations for quantum
fluids, Arch. Ration. Mech. Anal.
156, no. 3, 183-203 (2001).
28 -
P. Amster, I.M. Gamba, M.C. Mariani, and P. Varela, Solutions to transonic nonisentropic charged transport hydrodynamic
systems in bounded domains, preprint (2000)
27 -
J.A. Carrillo, C. Cercignani and I.M. Gamba, Steady
states of a Boltzmann equation for driven granular media, Phys. Rev. E (3)
62 (2000), no. 6, part A, 7700-7707. 27.
26 -
N. Ben Abdallah, P. Degond and I. Gamba, Inflow
boundary conditions for the time dependent one-dimensional Schroedinger
equation, C. R. Acad. Sci. Paris Sr. I Math. 331 (2000), no. 12, 1023-1028
25 -
C. Cercignani,
24 -
J.A. Carrillo, I.M. Gamba and C.W. Shu, Computational
macroscopic approximations to the 1-D relaxation-time kinetic system for
semiconductors, Physica D 146, 289-306 (2000).
23 -
Arnold , J.A. Carrillo, I. Gamba and Chi-Wang Shu, Low
and High Field Scaling Limits for the Vlasov- and Wigner-Poisson-Fokker-Planck
Systems, Transp. Theory Stat. Phys 30 (2&3), 121-153 (2001).
22 -
A.V. Bobylev, J.A. Carrillo and I.M. Gamba, On
some properties of kinetic and hydrodynamic equations for inelastic
interactions, Journal Stat. Phys., vol. 98, no. 3-4, 743-773, (2000).
21 -
I.M. Gamba, Milne Problem for
strong force scaling, Nonlinear partial differential equations (Evanston, IL,
1998), 127-132, Contemp. Math., 238, Amer. Math. Soc.,
20 -
C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, A
Domain Decomposition Method for Silicon Devices,
Transport Theory and Statis. Phys., vol. 29, (3-5), 525-536 (2000).
19 -
C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Device
Benchmark Comparisons via Kinetic, Hydrodynamic, and High-Field Models,
Computer Methods in Applied Mechanics and Engineering, 381-392 (2000).
18 -
I.M. Gamba, R. Rosales and E. Tabak,
Constraints
for formation of singularities for the small disturbance transonic flow
equations, Comm. Pure Appl. Math, 52 no. -6, 763-779 (1999).
17 -
C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Applicability of the high field model: A preliminary numerical study,
Proceedings of Fifth InternationalWorkshop on Computational Electronics (1997),
Notre Dame, Indiana. VLSI DESIGN, vol. 8 (1?4), 135-141 (1998).
16 -
C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Applicability of the high field model: An analytical study via
asymptotic parameters defining domain decomposition. Proceedings of Fifth
International Workshop on Computational Electronics (1997), Notre Dame,
15 -
I.M. Gamba, Higher order
asymptotic boundary conditions for an oxide region in a semiconductor device,
Wavelet Theory and Harmonic Analysis in Applied Sciences, edited by C.E.
D'Attellis and E.M. Fernandez-Berdaguer, Birkhauser, 1997 (ISBN 0-8176-3953-5,
ISBN 3-7643-3953-5) 301-313 (1997).
14 -
I.M. Gamba and C.S. Morawetz, Viscous approximation to transonic gas dynamics:
flow past profiles and charged-particle systems, Modeling and Computation for Applications
in Mathematics, Science and Engineering (Evanston, Il, 1996), Clarendon Press,
Oxford, 81-102, (1998).
13 -
C. Cercignani, I.M. Gamba and C.D. Levermore, High field approximations to a Boltzmann-Poisson system boundary
conditions in a semiconductor, Applied Math Letters, vol. 10 (4), 111-118,
(1997).
12 -
I.M. Gamba, Sharp uniform
speed bounds for steady potential fluid-Poisson systems, Proceedings of the
Royal Academy of Edinburgh, vol. 127A, 479-516 (1997).
11 -
I.M. Gamba, Steady Potential
Fluid-Poisson systems: Theoretical results in 2-dimensional geometries,
Proceedings of ICIAM 95 - Applied Analysis Volume (1997)
10 -
I.M. Gamba and C.S. Morawetz, A
viscous approximation for a 2D steady semiconductor or transonic gas dynamic
flow: Existence theorem for potential flow. Communications in Pure and
Applied Mathematics, vol. 49 (10) 999-1049 (1996).
9 -
I.M. Gamba, An existence and
uniqueness result for a nonlinear 2-dimensional elliptic boundary value
problem, Communications in Pure and Applied Mathematics, vol. XLVIII, 669-689
(1995).
8 -
I.M. Gamba, Viscosity
approximating solutions to ODE systems that admit shocks, and their limits.
Advances in Applied Mathematics, vol. 15, 129-182, (1994).
7 -
I.M. Gamba, Boundary
layer formation for viscosity approximations of transonic flow, Physics of
Fluids A., vol. 4(3), 486-490 (1992).
6 -
I.M. Gamba, Stationary transonic
solutions for a one-dimensional hydrodynamic model for semiconductors, Comm.
Partial Differential Equations, vol. 17 (3,9), 553-577 (1992).
5 -
I.M. Gamba, Asymptotic boundary
conditions for an oxide region in a semiconductor device, Asymptotic Analysis
Journal, vol. 7, 37-48 (1993).
4 -
I.M. Gamba, Behavior of the
potential at the pn-Junction for a model in semiconductor theory, Appl. Math.
Lett., vol. 3, 59-63 (1990).
3 -
I.M. Gamba, Asymptotic behavior at
the boundary of a semiconductor device in two space dimensions, based on the
thesis dissertation.(Istituto di Analisi Numerica
2 -
I.M. Gamba and M.C.J. Squef
Simulation of the transient behavior
of a one dimensional semiconductor device II,
SIAM of J. Numer. Anal., vol. 2, 539-552 (1989).
1 -
J. Douglas Jr., I.M. Gamba and M.C.J. Squeff,
Simulation of the transient behavior of a one dimensional semiconductor
device,
Mat. Apl. Comput., vol. 5, 103-122 (1986).
Editorial
review work
1.
(Review) Dispersive transport equations and multiscale models, The IMA Volumes
in Mathematics and its Applications Series , edited by Arnold, Anton; Ben
Abdallah, Naoufel; Degond, Pierre;Gamba, Irene M.; Glassey, Robert
T.;Levermore, C. David; Ringhofer, Christian. Papers from the Workshops
`Dispersive Corrections to Transport Equations', held May 1-5, `Simulation of
Transport in Transition Regimes', held May 22-26 and Multiscale Models for
Surface Evolution and Reacting Flows, held June 5-9, in Minneapolis, MN, 2000,
The IMA Volumes in Mathematics and its Applications, Vol 136, Springer-Verlag,
New York, pp. 292 (2004).
2.
(Review) Transport in transition regimes, The IMA Volumes in Mathematics and
its Applications Series, edited by Arnold, Anton; Ben Abdallah, Naoufel;
Degond, Pierre;Gamba, Irene M.; Glassey, Robert T.;Levermore, C. David;
Ringhofer, Christian. Papers from the Workshops `Dispersive Corrections to
Transport Equations', held May 1-5, `Simulation of Transport in Transition
Regimes', held May 22-26 and `Multiscale Models for Surface Evolution and
Reacting Flows', held June 5-9, in Minneapolis, MN, 2000. The IMA Volumes in
Mathematics and its Applications, Vol 135,