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Volumn 98, Issue 3-4, 2000, Pages 743-773

On some properties of kinetic and hydrodynamic equations for inelastic interactions

Author keywords

Homogeneous inelastic Boltzmann; Hydrodynamics; Large time asymptotics; Self similar solutions

Indexed keywords


EID: 0034343060     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018627625800     Document Type: Article
Times cited : (209)

References (18)
  • 1
    • 0002450997 scopus 로고
    • Nonlinear kinetic equations with dissipative collisions
    • N. Bellomo, M. Esteban, and M. Lachowicz, Nonlinear kinetic equations with dissipative collisions, Appl. Math. Letter 8:47-52 (1995).
    • (1995) Appl. Math. Letter , vol.8 , pp. 47-52
    • Bellomo, N.1    Esteban, M.2    Lachowicz, M.3
  • 2
    • 4243707682 scopus 로고    scopus 로고
    • The collapse phenomenon in one dimensional inelastic point particle system
    • D. Benedetto and E. Caglioti, The collapse phenomenon in one dimensional inelastic point particle system, to appear in Physica D.
    • Physica D
    • Benedetto, D.1    Caglioti, E.2
  • 3
    • 0032090818 scopus 로고    scopus 로고
    • A non-maxwellian steady distribution for one-dimensional granular media
    • D. Benedetto, E. Caglioti, J. A. Carrillo, and M. Pulvirenti, A non-maxwellian steady distribution for one-dimensional granular media. J. Stat. Phys. 91:979 990 (1998).
    • (1998) J. Stat. Phys. , vol.91 , pp. 979-990
    • Benedetto, D.1    Caglioti, E.2    Carrillo, J.A.3    Pulvirenti, M.4
  • 6
    • 5344247421 scopus 로고
    • Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a maxwellian gas
    • A. V. Bobylev, Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a maxwellian gas, Teoret. Mat. Fiz. 60:280 310 (1984).
    • (1984) Teoret. Mat. Fiz. , vol.60 , pp. 280310
    • Bobylev, A.V.1
  • 7
    • 0000411415 scopus 로고
    • The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules
    • A. V. Bobylev, The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules, Sov. Sci. Rev. C Math. Phys. 7:111-233 (1988).
    • (1988) Sov. Sci. Rev. C Math. Phys. , vol.7 , pp. 111-233
    • Bobylev, A.V.1
  • 8
    • 0031161527 scopus 로고    scopus 로고
    • Dissipative dynamics for hard spheres
    • J. J. Brey, J. W. Dufty, A. Santos, Dissipative dynamics for hard spheres. J. Stat. Phys. 87:1051-1068 (1997).
    • (1997) J. Stat. Phys. , vol.87 , pp. 1051-1068
    • Brey, J.J.1    Dufty, J.W.2    Santos, A.3
  • 9
    • 2442546537 scopus 로고
    • Recent developments in the mechanics of granular materials
    • Pitagora Editrice, Bologna
    • C. Cereignani, Recent developments in the mechanics of granular materials, Fisica matematica e ingegneria delle strutture, pp. 119 132, Pitagora Editrice, Bologna (1995).
    • (1995) Fisica Matematica e Ingegneria Delle Strutture , pp. 119132
    • Cereignani, C.1
  • 11
    • 0001657288 scopus 로고
    • Inelastic collisions of three particles on a line as a two dimensional billiard
    • P. Constantin, E. Grossman, and M. Mungan, Inelastic collisions of three particles on a line as a two dimensional billiard, Physica D 83:409-420 (1995).
    • (1995) Physica D , vol.83 , pp. 409-420
    • Constantin, P.1    Grossman, E.2    Mungan, M.3
  • 12
    • 84864161175 scopus 로고
    • On the modified Enskog equation for elastic and inelastic collisions. Models with spin
    • M. J. Esteban and B. Perthame, On the modified Enskog equation for elastic and inelastic collisions. Models with spin, Ann. Inst. H. Pointcaré Anal. Non Linaire 8:289 308 (1991).
    • (1991) Ann. Inst. H. Pointcaré Anal. Non Linaire , vol.8 , pp. 289-308
    • Esteban, M.J.1    Perthame, B.2
  • 15
    • 0028992020 scopus 로고
    • Mechanics of collisional motion of granular materials. Part I. General hydrodynamic equations
    • A. Goldshtein and M. Shapiro, Mechanics of collisional motion of granular materials. Part I. General hydrodynamic equations, J. Fluid Mech. 282:75 114 (1995).
    • (1995) J. Fluid Mech. , vol.282 , pp. 75-114
    • Goldshtein, A.1    Shapiro, M.2
  • 16
    • 0021899363 scopus 로고
    • Grad's 13-moment system for a dense gas of inelastic spheres
    • J. T. Jenkins and M. W. Richman, Grad's 13-moment system for a dense gas of inelastic spheres. Arch. Rat. Mech. Anal. 87:355-377 (1985).
    • (1985) Arch. Rat. Mech. Anal. , vol.87 , pp. 355-377
    • Jenkins, J.T.1    Richman, M.W.2
  • 18
    • 0032050661 scopus 로고    scopus 로고
    • Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order
    • N. Sela and I. Goldhirsch, Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order, J. Fluid Mech. 361:41-74 (1998).
    • (1998) J. Fluid Mech. , vol.361 , pp. 41-74
    • Sela, N.1    Goldhirsch, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.