메뉴 건너뛰기




Volumn 459, Issue 2031, 2003, Pages 727-748

On a general kinetic equation for many-particle systems with interaction, fragmentation and coagulation

Author keywords

Coagulation; Fragmentation; Infinite dimensional hamiltonian systems; Interacting particle systems; Kinetic equation; Semiclassical approximation

Indexed keywords

ARTICLE; DENSITY; FRAGMENTATION REACTION; KINETICS; MATHEMATICAL COMPUTING; MATHEMATICS; MOLECULAR INTERACTION; MOLECULAR MECHANICS;

EID: 0141882792     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2002.1026     Document Type: Article
Times cited : (23)

References (16)
  • 1
    • 0001796185 scopus 로고    scopus 로고
    • Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
    • Aldous, D. J. 1999 Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists. Bernoulli 5, 3-48.
    • (1999) Bernoulli , vol.5 , pp. 3-48
    • Aldous, D.J.1
  • 3
    • 0043243580 scopus 로고
    • Quantum branching processes and nonlinear dynamics of multi-quantum systems
    • Belavkin, V. P. 1988 Quantum branching processes and nonlinear dynamics of multi-quantum systems. Dokl. Akad. Nauk SSSR 301, 1348-1352.
    • (1988) Dokl. Akad. Nauk SSSR , vol.301 , pp. 1348-1352
    • Belavkin, V.P.1
  • 4
    • 0001371321 scopus 로고
    • A quantum nonadapted Ito formula and stochastic analysis in Fock scale
    • Belavkin, V. P. 1991 A quantum nonadapted Ito formula and stochastic analysis in Fock scale. J. Funct. Analysis 102, 414-447.
    • (1991) J. Funct. Analysis , vol.102 , pp. 414-447
    • Belavkin, V.P.1
  • 6
    • 34250279486 scopus 로고    scopus 로고
    • Uniformization method in the theory of nonlinear Hamiltonian systems of Vlasov and Hartree type
    • Belavkin, V. P. & Maslov, V. P. 1977 Uniformization method in the theory of nonlinear Hamiltonian systems of Vlasov and Hartree type. Teor. Mat. Fiz. 33, 17-31. (In Russian, English transl. JETP 43, 852-862.)
    • (1977) Teor. Mat. Fiz. , vol.33 , pp. 17-31
    • Belavkin, V.P.1    Maslov, V.P.2
  • 7
    • 34250279486 scopus 로고    scopus 로고
    • In Russian, English transl.
    • Belavkin, V. P. & Maslov, V. P. 1977 Uniformization method in the theory of nonlinear Hamiltonian systems of Vlasov and Hartree type. Teor. Mat. Fiz. 33, 17-31. (In Russian, English transl. JETP 43, 852-862.)
    • JETP , vol.43 , pp. 852-862
  • 8
    • 82855174422 scopus 로고
    • Asymptotic dynamics of the system of large number of particles described by the Kolmogorov-Feller equation
    • Belavkin, V. P., Maslov, V. P. & Tariverdiev, C. E. 1981 Asymptotic dynamics of the system of large number of particles described by the Kolmogorov-Feller equation. Teor. Mat. Fiz. 49, 3-15.
    • (1981) Teor. Mat. Fiz. , vol.49 , pp. 3-15
    • Belavkin, V.P.1    Maslov, V.P.2    Tariverdiev, C.E.3
  • 13
    • 0000608429 scopus 로고
    • Main equations of the kinetic theory from the point of view of random processes
    • In Russian
    • Leontovich, M. A. 1935 Main equations of the kinetic theory from the point of view of random processes. JETP 5, 211-231. (In Russian.)
    • (1935) JETP , vol.5 , pp. 211-231
    • Leontovich, M.A.1
  • 14
    • 0034340686 scopus 로고    scopus 로고
    • Cluster coagulation
    • Norris, J. R. 2000 Cluster coagulation. Commun. Math. Phys. 209, 407-435.
    • (2000) Commun. Math. Phys. , vol.209 , pp. 407-435
    • Norris, J.R.1
  • 16
    • 0001105004 scopus 로고
    • Topics in propagation of chaos
    • Springer Lecture Notes in Mathematics
    • Sznitman, A. 1991 Topics in propagation of chaos. In Ecole d'Eté de Probabilités de Saint-Flour XIX-1989. Springer Lecture Notes in Mathematics, vol. 1464, pp. 167-255.
    • (1991) Ecole d'Eté de Probabilités de Saint-Flour XIX-1989 , vol.1464 , pp. 167-255
    • Sznitman, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.