Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(2)
Granular Media
Kinetic Equation
Related Publications
(13)
Granular Gases w...
On the onedimensional Boltzmann equation for granular flows
Breakdown of Hydrodynamics in a OneDimensional System of Inelastic Particles
The FokkerPlanck asymptotics of the Boltzmann collision operator in the Coulomb case
Kinetic and Hydrodynamic Models of Mearly Elastic Granular Flows
Subscribe
Academic
Publications
A kinetic equation for granular media
A kinetic equation for granular media,D. Benedetto,E. Caglioti,M. Pulvirenti
Edit
A kinetic equation for granular media
(
Citations: 42
)
BibTex

RIS

RefWorks
Download
D. Benedetto
,
E. Caglioti
,
M. Pulvirenti
Published in 1997.
Cumulative
Annual
Citation Context
(21)
...Young [26] to recover from the Boltzmann equation in a suitable asymptotic procedure, simplied models of nonlinear frictions for the evolution of the gas density [
2
, 35]...
J. A. Carrillo
,
et al.
Asymptotic Flocking Dynamics for the Kinetic CuckerSmale Model
...The starting point is the following result, see for instance [19, Theorem 5.2] or [
3
, 17]...
Stéphane Mischler
,
et al.
Cooling Process for Inelastic Boltzmann Equations for Hard Spheres, Pa...
...The construction of numerical methods for Boltzmann equations represents a real challenge for scientific computing and it is of paramount importance in many applications, ranging from rarefied gas dynamics (RGD) [15], plasma physics [18], granular flows [2,
3
], semiconductors [30] and quantum kinetic theory [20]...
Clement Mouhot
,
et al.
Fast algorithms for computing the Boltzmann collision operator
...Equations (3.12) are, in fact, hierarchy (3.6) for N =2 . Analogous calculations were performed for onedimensional point particles in [
4
] on a formal level...
D. Ya. Petrina
,
et al.
Analog of the Liouville Equation and BBGKY Hierarchy for a System of H...
...Many recent papers (see [
3
, 18, 19, 6] and the references therein), consider in fact Boltzmannlike equations for partially inelastic rigid spheres [10]...
...The idea of considering a simplification of the Boltzmann equation for rigid spheres goes back to McNamara & Young [18], who derived equation (1), in their paper called the “testparticle equation”, with γ = 1. The nonlinear friction equation with γ = 1 was derived independently some years later in [
3
] in a suitable scaling limit from a onedimensional system of N particles colliding inelastically...
...In the case γ = 1, the selfsimilar solutions to (8) have been studied and completely characterized in [
3
]...
...In the case γ = 1, this stationary solution was found in [
3
]...
Hailiang Li
,
et al.
LongTime Asymptotics of Kinetic Models of Granular Flows
Sort by:
Citations
(42)
Stability of stationary states of nonlocal equations with singular interaction potentials
(
Citations: 2
)
Klemens Fellner
,
Gaël Raoul
Journal:
Mathematical and Computer Modelling  MATH COMPUT MODELLING
, vol. 53, no. 78, pp. 14361450, 2011
Asymptotic Flocking Dynamics for the Kinetic CuckerSmale Model
(
Citations: 17
)
J. A. Carrillo
,
M. Fornasier
,
J. Rosado
,
G. Toscani
Journal:
Siam Journal on Mathematical Analysis  SIAM J MATH ANAL
, vol. 42, no. 1, pp. 218236, 2010
Lp theory for the multidimensional aggregation equation
(
Citations: 6
)
Andrea L. Bertozzi
,
Thomas Laurent
,
Jesús Rosado
Journal:
Communications on Pure and Applied Mathematics  COMMUN PURE APPL MATH
, 2010
Blowup in multidimensional aggregation equations with mildly singular interaction kernels
(
Citations: 19
)
Andrea L. Bertozzi
,
José A. Carrillo
,
Thomas Laurent
Journal:
Nonlinearity
, vol. 22, no. 3, pp. 683710, 2009
Cooling Process for Inelastic Boltzmann Equations for Hard Spheres, Part II: SelfSimilar Solutions and Tail Behavior
(
Citations: 19
)
Stéphane Mischler
,
Clément Mouhot
Journal:
Journal of Statistical Physics  J STATIST PHYS
, vol. 124, no. 2, pp. 703746, 2006