메뉴 건너뛰기




Volumn 124, Issue 2-4, 2006, Pages 625-653

Decay rates in probability metrics towards homogeneous cooling states for the inelastic maxwell model

Author keywords

Asymptotic behavior; Ernst Brito conjecture; Fourier metrics; Inelastic collisions; Maxwell models

Indexed keywords


EID: 33751052750     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9035-9     Document Type: Article
Times cited : (37)

References (22)
  • 1
    • 0036333848 scopus 로고    scopus 로고
    • Influence of correlations in velocity statistics of scalar granular gases
    • A. Baldassarri, U. M. B. Marconi, and A. Puglisi, "Influence of correlations in velocity statistics of scalar granular gases," Europhys. Lett. 58:14-20 (2002).
    • (2002) Europhys. Lett. , vol.58 , pp. 14-20
    • Baldassarri, A.1    Marconi, U.M.B.2    Puglisi, A.3
  • 2
    • 84919348654 scopus 로고    scopus 로고
    • Multiscaling in inelastic collisions
    • E. Ben-Naim, and P. Krapivski, "Multiscaling in inelastic collisions," Phys. Rev. E 61:R5-R8 (2000).
    • (2000) Phys. Rev. E , vol.61
    • Ben-Naim, E.1    Krapivski, P.2
  • 3
    • 0037155756 scopus 로고    scopus 로고
    • Nontrivial velocity distributions in inelastic gases
    • E. Ben-Naim, and P. Krapivski, "Nontrivial velocity distributions in inelastic gases," J. Phys. A 35:L147-L152, (2002).
    • (2002) J. Phys. A , vol.35
    • Ben-Naim, E.1    Krapivski, P.2
  • 4
    • 33748908493 scopus 로고    scopus 로고
    • Contractive Metrics for a Boltzmann equation for granular gases: Diffusive equilibria
    • M. Bisi, J. A. Carrillo, and G. Toscani, "Contractive Metrics for a Boltzmann equation for granular gases: Diffusive equilibria," J. Statist. Phys. 118:301-331 (2005).
    • (2005) J. Statist. Phys. , vol.118 , pp. 301-331
    • Bisi, M.1    Carrillo, J.A.2    Toscani, G.3
  • 5
    • 0009102266 scopus 로고
    • Exact solutions of the Boltzmann equation
    • A. V. Bobylev, "Exact solutions of the Boltzmann equation," Doklady Akad. Nauk SSSR 231:571-574 (1975).
    • (1975) Doklady Akad. Nauk SSSR , vol.231 , pp. 571-574
    • Bobylev, A.V.1
  • 6
    • 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
  • 7
    • 0034343060 scopus 로고    scopus 로고
    • On some properties of kinetic and hydrodynamic equations for inelastic interactions
    • A. V. Bobylev, J. A. Carrillo, and I. Gamba, "On some properties of kinetic and hydrodynamic equations for inelastic interactions," J. Statist. Phys. 98:743-773 (2000).
    • (2000) J. Statist. Phys. , vol.98 , pp. 743-773
    • Bobylev, A.V.1    Carrillo, J.A.2    Gamba, I.3
  • 8
    • 0036115583 scopus 로고    scopus 로고
    • Moment equations for a Granular Material in a Thermal Bath
    • A. V. Bobylev, and C. Cercignani, "Moment equations for a Granular Material in a Thermal Bath," J. Statist. Phys. 106:547-567 (2002).
    • (2002) J. Statist. Phys. , vol.106 , pp. 547-567
    • Bobylev, A.V.1    Cercignani, C.2
  • 9
    • 0037210439 scopus 로고    scopus 로고
    • Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
    • A. V. Bobylev, C. Cercignani, "Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions," J. Statist. Phys. 110:333-375 (2003).
    • (2003) J. Statist. Phys. , vol.110 , pp. 333-375
    • Bobylev, A.V.1    Cercignani, C.2
  • 11
    • 0037276633 scopus 로고    scopus 로고
    • Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials
    • A. V. Bobylev, C. Cercignani, and G. Toscani, "Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials," J. Statist. Phys. 111:403-417 (2003).
    • (2003) J. Statist. Phys. , vol.111 , pp. 403-417
    • Bobylev, A.V.1    Cercignani, C.2    Toscani, G.3
  • 13
    • 0033249563 scopus 로고    scopus 로고
    • Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
    • E. A. Carlen, E. Gabetta, and G. Toscani, "Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas," Commun. Math. Phys. 305:521-546 (1999).
    • (1999) Commun. Math. Phys. , vol.305 , pp. 521-546
    • Carlen, E.A.1    Gabetta, E.2    Toscani, G.3
  • 14
    • 32544445429 scopus 로고    scopus 로고
    • Contractions in the 2-Wasserstein length space and thermalization of granular media
    • J. A. Carrillo, R. J. McCann, and C. Villani, "Contractions in the 2-Wasserstein length space and thermalization of granular media," Archive Rat. Mech. Anal. 179:247-293 (2006).
    • (2006) Archive Rat. Mech. Anal. , vol.179 , pp. 247-293
    • Carrillo, J.A.1    McCann, R.J.2    Villani, C.3
  • 15
    • 0037061393 scopus 로고    scopus 로고
    • High energy tails for inelastic Maxwell models
    • M. H. Ernst, and R. Brito, "High energy tails for inelastic Maxwell models," Europhys. Lett. 58:182-187 (2002).
    • (2002) Europhys. Lett. , vol.58 , pp. 182-187
    • Ernst, M.H.1    Brito, R.2
  • 16
    • 0036393182 scopus 로고    scopus 로고
    • Scaling solutions of inelastic Boltzmann equation with over-populated high energy tails
    • M. H. Ernst, and R. Brito, "Scaling solutions of inelastic Boltzmann equation with over-populated high energy tails," J. Statist. Phys. 109:407-432 (2002).
    • (2002) J. Statist. Phys. , vol.109 , pp. 407-432
    • Ernst, M.H.1    Brito, R.2
  • 17
    • 21844510511 scopus 로고
    • Metrics for probability distributions and the trend to equilibrium for solutions of the boltzmann equation
    • E. Gabetta, G. Toscani, and W. Wennberg, "Metrics for Probability Distributions and the Trend to Equilibrium for Solutions of the Boltzmann Equation," J. Statist. Phys. 81:901-934 (1995).
    • (1995) J. Statist. Phys. , vol.81 , pp. 901-934
    • Gabetta, E.1    Toscani, G.2    Wennberg, W.3
  • 18
    • 0001317857 scopus 로고
    • Formation of maxwellian tails
    • T. Krook, and T. T. Wu, "Formation of Maxwellian tails," Phys. Rew. Lett. 36:1107-1109 (1976).
    • (1976) Phys. Rew. Lett. , vol.36 , pp. 1107-1109
    • Krook, T.1    Wu, T.T.2
  • 19
    • 3543013213 scopus 로고    scopus 로고
    • Asymptotic properties of the inelastic Kac model
    • A. Pulvirenti, and G. Toscani, "Asymptotic properties of the inelastic Kac model," J. Statist. Phys. 114:1453-1480 (2004).
    • (2004) J. Statist. Phys. , vol.114 , pp. 1453-1480
    • Pulvirenti, A.1    Toscani, G.2
  • 20
    • 0002032494 scopus 로고
    • Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
    • H. Tanaka, "Probabilistic treatment of the Boltzmann equation of Maxwellian molecules," Z. Wahrsch. Verw. Gebiete 46(1):67-105 (1978/79).
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.46 , Issue.1 , pp. 67-105
    • Tanaka, H.1
  • 21
    • 0033072701 scopus 로고    scopus 로고
    • Probability metrics and uniqueness of the solution to the boltzmann equation for a maxwell gas
    • G. Toscani, and C. Villani, "Probability Metrics and Uniqueness of the Solution to the Boltzmann Equation for a Maxwell Gas," J. Statist. Phys. 94:619-637 (1999).
    • (1999) J. Statist. Phys. , vol.94 , pp. 619-637
    • Toscani, G.1    Villani, C.2
  • 22
    • 84966211213 scopus 로고
    • Distributional derivative of an asymptotic expansion
    • R. Wong, "Distributional derivative of an asymptotic expansion," Proceedings AMS 80:266-270 (1976).
    • (1976) Proceedings AMS , vol.80 , pp. 266-270
    • Wong, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.