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Finite time blow up in KaniadakisQuarati model of BoseEinstein particles
, 2010
"... We study a FokkerPlanck equation with linear diffusion and superlinear drift introduced by Kaniadakis and Quarati [11, 12] to describe the evolution of a gas of BoseEinstein particles. For kinetic equation of this type it is wellknown that, in the physical space R 3, the structure of the equilib ..."
Abstract
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We study a FokkerPlanck equation with linear diffusion and superlinear drift introduced by Kaniadakis and Quarati [11, 12] to describe the evolution of a gas of BoseEinstein particles. For kinetic equation of this type it is wellknown that, in the physical space R 3, the structure
Finite time blow up in KaniadakisQuarati model of BoseEinstein particles
, 2010
"... We study a FokkerPlanck equation with linear diffusion and superlinear drift introduced by Kaniadakis and Quarati [11, 12] to describe the evolution of a gas of BoseEinstein particles. For kinetic equation of this type it is wellknown that, in the physical space R 3, the structure of the equilib ..."
Abstract

Cited by 7 (1 self)
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We study a FokkerPlanck equation with linear diffusion and superlinear drift introduced by Kaniadakis and Quarati [11, 12] to describe the evolution of a gas of BoseEinstein particles. For kinetic equation of this type it is wellknown that, in the physical space R 3, the structure
The grazing collision limit of Kac caricature of BoseEinstein particles
 Asympt. Anal
"... Abstract We discuss the grazing collision limit of certain kinetic models of BoseEinstein particles obtained from a suitable modication of the onedimensional Kac caricature of a Maxwellian gas without cuto. We recover in the limit a nonlinear FokkerPlanck equation which presents many similaritie ..."
Abstract

Cited by 2 (0 self)
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similarities with the one introduced by Kaniadakis and Quarati in [14]. In order to do so, we perform a study of the moments of the solution. Moreover, as is typical in Maxwell models, we make an essential use of the Fourier version of the equation.
Contents
, 2010
"... We discuss the grazing collision limit of certain kinetic models of BoseEinstein particles obtained from a suitable modification of the onedimensional Kac caricature of a Maxwellian gas without cutoff. We recover in the limit a nonlinear FokkerPlanck equation which presents many similarities wi ..."
Abstract
 Add to MetaCart
with the one introduced by Kaniadakis and Quarati in [14]. In order to do so, we perform a study of the moments of the solution. Moreover, as is typical in Maxwell models, we make an essential use of the Fourier version of the equation.
The grazing collision limit of Kac . . .
, 2010
"... We discuss the grazing collision limit of certain kinetic models of BoseEinstein particles obtained from a suitable modification of the onedimensional Kac caricature of a Maxwellian gas without cutoff. We recover in the limit a nonlinear FokkerPlanck equation which presents many similarities wi ..."
Abstract
 Add to MetaCart
with the one introduced by Kaniadakis and Quarati in [14]. In order to do so, we perform a study of the moments of the solution. Moreover, as is typical in Maxwell models, we make an essential use of the Fourier version of the equation.