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Irene M. Gamba
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On some properties of kinetic and hydrodynamic equations for inelastic interactions
AV Bobylev, JA Carrillo, IM Gamba
Journal of Statistical Physics 98, 743-773, 2000
3232000
Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors
IM Gamba
Communications in Partial Differential Equations;(United States) 17, 1992
2181992
On the Boltzmann equation for diffusively excited granular media
IM Gamba, V Panferov, C Villani
Communications in Mathematical Physics 246, 503-541, 2004
1832004
Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
AV Bobylev, IM Gamba, VA Panferov
Journal of Statistical Physics 116, 1651-1682, 2004
1642004
A WENO-solver for the transients of Boltzmann–Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods
JA Carrillo, IM Gamba, A Majorana, CW Shu
Journal of Computational Physics 184 (2), 498-525, 2003
1542003
A discontinuous Galerkin method for the Vlasov–Poisson system
RE Heath, IM Gamba, PJ Morrison, C Michler
Journal of Computational Physics 231 (4), 1140-1174, 2012
1462012
Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states
IM Gamba, SH Tharkabhushanam
Journal of Computational Physics 228 (6), 2012-2036, 2009
1312009
Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
IM Gamba, V Panferov, C Villani
Archive for rational mechanics and analysis 194, 253-282, 2009
1152009
Steady states of a Boltzmann equation for driven granular media
JA Carrillo, C Cercignani, IM Gamba
Physical Review E 62 (6), 7700, 2000
1152000
A viscous approximation for a 2‐D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow
IM Gamba, CS Morawetz
Communications on pure and applied mathematics 49 (10), 999-1049, 1996
981996
A fast spectral method for the Boltzmann collision operator with general collision kernels
IM Gamba, JR Haack, CD Hauck, J Hu
SIAM Journal on Scientific Computing 39 (4), B658-B674, 2017
892017
Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails
AV Bobylev, IM Gamba
Journal of statistical physics 124, 497-516, 2006
862006
Positive solutions to singular second and third order differential equations for quantum fluids
IM Gamba, A Jüngel
Archive for Rational Mechanics and Analysis 156, 183-203, 2001
832001
A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices
Y Cheng, IM Gamba, A Majorana, CW Shu
Computer Methods in Applied Mechanics and Engineering 198 (37-40), 3130-3150, 2009
812009
On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models
AV Bobylev, C Cercignani, IM Gamba
Communications in Mathematical Physics 291, 599-644, 2009
772009
Discontinuous Galerkin methods for the Vlasov--Maxwell equations
Y Cheng, IM Gamba, F Li, PJ Morrison
SIAM Journal on Numerical Analysis 52 (2), 1017-1049, 2014
762014
Study of conservation and recurrence of Runge–Kutta discontinuous Galerkin schemes for Vlasov–Poisson systems
Y Cheng, IM Gamba, PJ Morrison
Journal of Scientific Computing 56, 319-349, 2013
742013
Shock and boundary structure formation by spectral-Lagrangian methods for the inhomogeneous Boltzmann transport equation
IM Gamba, SH Tharkabhushanam
Journal of Computational Mathematics, 430-460, 2010
672010
2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods
JA Carrillo, IM Gamba, A Majorana, CW Shu
Journal of Computational Physics 214 (1), 55-80, 2006
642006
High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor
C Cercignani, IM Gamba, CD Levermore
Applied Mathematics Letters 10 (4), 111-117, 1997
601997
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