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Volumn 38, Issue 23, 2005, Pages 5111-5132

Transient and asymptotic behaviour of the binary breakage problem

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EID: 19944373089     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/23/004     Document Type: Article
Times cited : (15)

References (30)
  • 1
    • 0000856723 scopus 로고
    • Kinetics of polymer degradation
    • 10.1021/ma00164a010 0024-9297
    • Ziff R M and McGrady E D 1986 Kinetics of polymer degradation Macromolecules 19 2513-9
    • (1986) Macromolecules , vol.19 , Issue.10 , pp. 2513-2519
    • Ziff, R.M.1    McGrady, E.D.2
  • 2
    • 0030574395 scopus 로고    scopus 로고
    • Cut-off model and exact general solutions for fragmentation with mass loss
    • Huang J, Guo X, Edwards B F and Levine A D 1996 Cut-off model and exact general solutions for fragmentation with mass loss J. Phys. A: Math. Gen. 29 7639-58
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 7639-7658
    • Huang, J.1    Guo, X.2    Edwards, B.F.3    Levine, A.D.4
  • 4
    • 0026908027 scopus 로고
    • Abrasion and breakage phenomena in agitated crystal suspensions
    • 10.1016/0009-2509(92)87010-N 0009-2509
    • Mazzarotta B 1992 Abrasion and breakage phenomena in agitated crystal suspensions Chem. Eng. Sci. 47 3105-11
    • (1992) Chem. Eng. Sci. , vol.47 , Issue.12 , pp. 3105-3111
    • Mazzarotta, B.1
  • 6
    • 49949137115 scopus 로고
    • Statistics and dynamics of Prokaryotic cell populations
    • 10.1016/0025-5564(67)90008-9 0025-5564
    • Fredrickson A G, Ramkrishna D and Tsuchyia H M 1967 Statistics and dynamics of Prokaryotic cell populations Math. Biosci. 1 327-74
    • (1967) Math. Biosci. , vol.1 , Issue.3 , pp. 327-374
    • Fredrickson, A.G.1    Ramkrishna, D.2    Tsuchyia, H.M.3
  • 9
    • 33748373364 scopus 로고
    • The kinetics of cluster fragmentation and depolymerization
    • 0305-4470 026
    • Ziff R M and McGrady E D 1985 The kinetics of cluster fragmentation and depolymerization J. Phys. A: Math. Gen. 18 3027-37
    • (1985) J. Phys. A: Math. Gen. , vol.18 , Issue.15 , pp. 3027-3037
    • Ziff, R.M.1    McGrady, E.D.2
  • 10
    • 24244449908 scopus 로고
    • 'Shattering' transition in fragmentation
    • 10.1103/PhysRevLett.58.892 0031-9007
    • McGrady E D and Ziff R M 1987 'Shattering' transition in fragmentation Phys. Rev. Lett. 58 892-5
    • (1987) Phys. Rev. Lett. , vol.58 , Issue.9 , pp. 892-895
    • McGrady, E.D.1    Ziff, R.M.2
  • 11
    • 42549172973 scopus 로고
    • New solutions to the fragmentation equation
    • 0305-4470 020
    • Ziff R M 1991 New solutions to the fragmentation equation J. Phys. A: Math. Gen. 24 2821-8
    • (1991) J. Phys. A: Math. Gen. , vol.24 , Issue.12 , pp. 2821-2828
    • Ziff, R.M.1
  • 12
    • 0030615982 scopus 로고    scopus 로고
    • On the steady state size distribution of dispersions in breakage processes
    • 10.1016/S0009-2509(96)00488-5 0009-2509
    • Kostoglou M, Dovas S and Karabelas A J 1997 On the steady state size distribution of dispersions in breakage processes Chem. Eng. Sci. 52 1285-99
    • (1997) Chem. Eng. Sci. , vol.52 , Issue.8 , pp. 1285-1299
    • Kostoglou, M.1    Dovas, S.2    Karabelas, A.J.3
  • 13
    • 0032491349 scopus 로고    scopus 로고
    • Theoretical analysis of the steady state particle size distribution in limited breakage processes
    • 0305-4470 015
    • Kostoglou M and Karabelas A J 1998 Theoretical analysis of the steady state particle size distribution in limited breakage processes J. Phys. A: Math. Gen. 31 8905-21
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.44 , pp. 8905-8921
    • Kostoglou, M.1    Karabelas, A.J.2
  • 14
    • 0035794094 scopus 로고    scopus 로고
    • On the breakage problem with a homogeneous erosion type kernel
    • 0305-4470 316
    • Kostoglou M and Karabelas A J 2001 On the breakage problem with a homogeneous erosion type kernel J. Phys. A: Math. Gen. 34 1725-40
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.8 , pp. 1725-1740
    • Kostoglou, M.1    Karabelas, A.J.2
  • 15
    • 0001128091 scopus 로고
    • On the distribution of the sizes of particles which undergo splitting
    • 10.1137/1106036 0040-585X
    • Filippov A F 1961 On the distribution of the sizes of particles which undergo splitting Theory Prob. Appl. 4 275-94
    • (1961) Theory Prob. Appl. , vol.6 , Issue.3 , pp. 275-294
    • Filippov, A.F.1
  • 16
    • 0001171642 scopus 로고
    • Scaling theory of fragmentation
    • 10.1103/PhysRevLett.60.2450 0031-9007
    • Cheng Z and Redner S 1988 Scaling theory of fragmentation Phys. Rev. Lett. 60 2450-3
    • (1988) Phys. Rev. Lett. , vol.60 , Issue.24 , pp. 2450-2453
    • Cheng, Z.1    Redner, S.2
  • 17
    • 1842631415 scopus 로고
    • The self-preserving particle size distribution for coagulation by Brownian motion
    • 10.1016/0021-9797(66)90073-7 0021-9797
    • Friedlander S K and Wang C S 1966 The self-preserving particle size distribution for coagulation by Brownian motion J. Colloid Interface Sci. 22 126-32
    • (1966) J. Colloid Interface Sci. , vol.22 , Issue.2 , pp. 126-132
    • Friedlander, S.K.1    Wang, C.S.2
  • 18
    • 0031557525 scopus 로고    scopus 로고
    • On the similarity solution of the fragmentation equation
    • 0305-4470 030
    • Treat R P 1997 On the similarity solution of the fragmentation equation J. Phys. A: Math. Gen. 30 2519-43
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.7 , pp. 2519-2543
    • Treat, R.P.1
  • 19
    • 0032024755 scopus 로고    scopus 로고
    • Time evolution to similarity solutions for polymer degradation
    • 10.1002/aic.690440313 0001-1541
    • Madras G and McCoy B J 1998 Time evolution to similarity solutions for polymer degradation AIChE J. 44 647-55
    • (1998) AIChE J. , vol.44 , Issue.3 , pp. 647-655
    • Madras, G.1    McCoy, B.J.2
  • 20
    • 0037445399 scopus 로고    scopus 로고
    • Exact self-similar solutions to the fragmentation equation with homogeneous discrete kernel
    • 10.1016/S0378-4371(02)01537-6 0378-4371 A
    • Kostoglou M 2003 Exact self-similar solutions to the fragmentation equation with homogeneous discrete kernel Physica A 320 84-96
    • (2003) Physica , vol.320 , pp. 84-96
    • Kostoglou, M.1
  • 21
    • 34848828521 scopus 로고
    • New discretization procedure for the breakage equation
    • 10.1002/aic.690410516 0001-1541
    • Hill P J and Ng K M 1995 New discretization procedure for the breakage equation AIChE J. 41 1204-16
    • (1995) AIChE J. , vol.41 , Issue.5 , pp. 1204-1216
    • Hill, P.J.1    Ng, K.M.2
  • 22
    • 0030173322 scopus 로고    scopus 로고
    • Statistics of multiple particle breakage
    • 10.1002/aic.690420611 0001-1541
    • Hill P J and Ng K M 1996 Statistics of multiple particle breakage AIChE J. 42 1600-11
    • (1996) AIChE J. , vol.42 , Issue.6 , pp. 1600-1611
    • Hill, P.J.1    Ng, K.M.2
  • 23
    • 0033119084 scopus 로고    scopus 로고
    • Discretization procedure for the breakage equation
    • 10.1002/aic.690450422 0001-1541
    • Vanni M 1999 Discretization procedure for the breakage equation AIChE J. 45 916-9
    • (1999) AIChE J. , vol.45 , Issue.4 , pp. 916-919
    • Vanni, M.1
  • 24
    • 0346997983 scopus 로고    scopus 로고
    • New wavelet-based adaptive method for the breakage equation
    • 10.1016/j.powtec.2003.10.003 0032-5910
    • Liu Y and Tade M O 2004 New wavelet-based adaptive method for the breakage equation Powder Technol. 139 61-8
    • (2004) Powder Technol. , vol.139 , Issue.1 , pp. 61-68
    • Liu, Y.1    Tade, M.O.2
  • 25
    • 0021153388 scopus 로고
    • On the stability of the cell size distribution
    • 10.1007/BF00277748 0303-6812
    • Diekmann O, Heijmans H J A M and Thieme H R 1984 On the stability of the cell size distribution J. Math. Biol. 19 227-48
    • (1984) J. Math. Biol. , vol.19 , Issue.2 , pp. 227-248
    • Diekmann, O.1    Heijmans, H.J.A.M.2    Thieme, H.R.3
  • 28
    • 0035890846 scopus 로고    scopus 로고
    • Numerical solution of multivariable cell population balance models: I. Finite difference methods
    • 10.1016/S0098-1354(01)00709-8 0098-1354
    • Mantzaris N V, Daoutidis P and Srienc F 2001a Numerical solution of multivariable cell population balance models: I. Finite difference methods Comput. Chem. Eng. 25 1411-40
    • (2001) Comput. Chem. Eng. , vol.25 , Issue.11-12 , pp. 1411-1440
    • Mantzaris, N.V.1    Daoutidis, P.2    Srienc, F.3
  • 29
    • 0035890622 scopus 로고    scopus 로고
    • Numerical solution of multivariable cell population balance models: II. Spectral methods
    • 10.1016/S0098-1354(01)00710-4 0098-1354
    • Mantzaris N V, Daoutidis P and Srienc F 2001b Numerical solution of multivariable cell population balance models: II. Spectral methods Comput. Chem. Eng. 25 1441-62
    • (2001) Comput. Chem. Eng. , vol.25 , Issue.11-12 , pp. 1441-1462
    • Mantzaris, N.V.1    Daoutidis, P.2    Srienc, F.3
  • 30
    • 0035890831 scopus 로고    scopus 로고
    • Numerical solution of multivariable cell population balance models: III. Finite element methods
    • 10.1016/S0098-1354(01)00711-6 0098-1354
    • Mantzaris N V, Daoutidis P and Srienc F 2001c Numerical solution of multivariable cell population balance models: III. Finite element methods Comput. Chem. Eng. 25 1463-81
    • (2001) Comput. Chem. Eng. , vol.25 , Issue.11-12 , pp. 1463-1481
    • Mantzaris, N.V.1    Daoutidis, P.2    Srienc, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.