메뉴 건너뛰기




Volumn 19, Issue 3, 1996, Pages 171-185

Approach to equilibrium for the coagulation-fragmentation equation via a lyapunov functional

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012944367     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199602)19:3<171::AID-MMA765>3.0.CO;2-7     Document Type: Article
Times cited : (20)

References (23)
  • 1
    • 0000668517 scopus 로고
    • Convergence to equilibrium in a system of reacting polymers
    • Aizenman, M. and Bak, T. A., 'Convergence to equilibrium in a system of reacting polymers', Comm. Math. Phys., 65, 203-230 (1979)
    • (1979) Comm. Math. Phys. , vol.65 , pp. 203-230
    • Aizenman, M.1    Bak, T.A.2
  • 3
    • 0000120890 scopus 로고
    • The Becker-Döring cluster equation: Basic properties and asymptotic behaviour of solution
    • Ball, J. M., Carr, J. and Penrose, O. 'The Becker-Döring cluster equation: basic properties and asymptotic behaviour of solution', Comm. Math. Phys., 104, 657-692 (1986).
    • (1986) Comm. Math. Phys. , vol.104 , pp. 657-692
    • Ball, J.M.1    Carr, J.2    Penrose, O.3
  • 4
    • 5244304803 scopus 로고
    • Solutions of the cogulation equation
    • English translation
    • Burobin, A. V. and Galkin, V. A., 'Solutions of the cogulation equation', Differentsial'nye Urarneniya, 17, 669-677 (1981) (English translation).
    • (1981) Differentsial'nye Urarneniya , vol.17 , pp. 669-677
    • Burobin, A.V.1    Galkin, V.A.2
  • 5
    • 0000650433 scopus 로고
    • Uniform processes and semicontinuous Lyapunov functionals
    • Dafermos, C. M., 'Uniform processes and semicontinuous Lyapunov functionals', J. Differential Equations, 11, 401-415 (1972).
    • (1972) J. Differential Equations , vol.11 , pp. 401-415
    • Dafermos, C.M.1
  • 6
    • 0039344188 scopus 로고
    • Applications of the invariance principle for compact processes II: Asymptotic behavior of solutions of a hyperbolic conservation law
    • Dafermos, C. M., 'Applications of the invariance principle for compact processes II: Asymptotic behavior of solutions of a hyperbolic conservation law', J. Differential Equations. 11, 416-424 (1972).
    • (1972) J. Differential Equations. , vol.11 , pp. 416-424
    • Dafermos, C.M.1
  • 8
    • 0039078543 scopus 로고
    • Exact solutions for the cogulation-fragmentation equation
    • Dubovskii, P. B. Galkin, V. A. and Stewart, L. W., 'Exact solutions for the cogulation-fragmentation equation', J. Phys. A: Math. Gen., 25, 4737-4744 (1992).
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 4737-4744
    • Dubovskii, P.B.1    Galkin, V.A.2    Stewart, L.W.3
  • 13
    • 0021161403 scopus 로고
    • Coagulation processes with a phase transition
    • Ernst, M. H., Ziff, R. M. and Hendriks, E. M., 'Coagulation processes with a phase transition', J. Coll. Interf. Sci., 97, 266-277 (1984).
    • (1984) J. Coll. Interf. Sci. , vol.97 , pp. 266-277
    • Ernst, M.H.1    Ziff, R.M.2    Hendriks, E.M.3
  • 14
    • 0345823886 scopus 로고
    • Existence and uniqueness of a solution of the coagulation equation
    • English translation
    • Galkin, V. A., 'Existence and uniqueness of a solution of the coagulation equation', Differentsial'nye Uravneniya, 13, 1460-1470(1977) (English translation).
    • (1977) Differentsial'nye Uravneniya , vol.13 , pp. 1460-1470
    • Galkin, V.A.1
  • 15
    • 0002115289 scopus 로고
    • Solution of the coagulation equation with unbounded kernels
    • English translation
    • Galkin, V. A. and Dubovskii, P. B., 'Solution of the coagulation equation with unbounded kernels', Differentsial'nye Uravneniya, 22, 504-509 (1986) (English translation).
    • (1986) Differentsial'nye Uravneniya , vol.22 , pp. 504-509
    • Galkin, V.A.1    Dubovskii, P.B.2
  • 16
    • 84963108529 scopus 로고
    • On the scalar transport eqution
    • McLeod, J. B., 'On the scalar transport eqution', Proc. London Math. Soc., 14, 445-458 (1964).
    • (1964) Proc. London Math. Soc. , vol.14 , pp. 445-458
    • McLeod, J.B.1
  • 17
    • 0001585141 scopus 로고
    • A scalar transport equation
    • Melzak, Z. A., 'A scalar transport equation', Trans. Amer. Math. Soc., 85, 547-560 (1957).
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 547-560
    • Melzak, Z.A.1
  • 18
    • 84988158553 scopus 로고
    • A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels
    • Stewart, I. W., 'A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels', Math. Methods Appl. Sci., 11, 627-648 (1989).
    • (1989) Math. Methods Appl. Sci. , vol.11 , pp. 627-648
    • Stewart, I.W.1
  • 19
    • 0000861380 scopus 로고
    • A uniqueness theorem for the cogulation-fragmentation equation
    • Stewan, I. W., 'A uniqueness theorem for the cogulation-fragmentation equation', Math. Proc. Cambridge Philos. Soc., 107, 578 (1990).
    • (1990) Math. Proc. Cambridge Philos. Soc. , vol.107 , pp. 578
    • Stewan, I.W.1
  • 20
    • 0012990353 scopus 로고
    • On the cogulation-fragmentation equation
    • Stewart, I. W., 'On the cogulation-fragmentation equation', J. Appl. Math. Phys. (ZAMP), 41, 917-924 (1990).
    • (1990) J. Appl. Math. Phys. (ZAMP) , vol.41 , pp. 917-924
    • Stewart, I.W.1
  • 21
    • 0012990731 scopus 로고
    • Density conservation for a coagulation equation
    • Stewart, I. W., 'Density conservation for a coagulation equation', J. Appl. Math. Phys. (ZAMP). 42, 746-756 (1991).
    • (1991) J. Appl. Math. Phys. (ZAMP). , vol.42 , pp. 746-756
    • Stewart, I.W.1
  • 23
    • 33748373364 scopus 로고
    • The kinetics of cluster fragmentation and depolymerisation
    • Ziff R. M. and McGrady, E. D., 'The kinetics of cluster fragmentation and depolymerisation', J. Phys. A: Math. Gen., 18, 3027-3037 (1985).
    • (1985) J. Phys. A: Math. Gen. , vol.18 , pp. 3027-3037
    • Ziff, R.M.1    McGrady, E.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.