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Volumn 35, Issue 2, 2000, Pages 163-198

Mathematical models in polymer processing

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL GROWTH; CRYSTALLIZATION; MATHEMATICAL MODELS; MOLECULES; NUCLEATION; POLYMERIZATION; SOLIDIFICATION;

EID: 0034508387     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004751226232     Document Type: Article
Times cited : (4)

References (57)
  • 1
    • 0343075783 scopus 로고
    • Identification of parameters in polymer crystallization
    • Andreucci, D., Bianchini, M. and Pasquali, A., 'Identification of parameters in polymer crystallization', Appl. Numer. Math. 17 (1995) 191-211.
    • (1995) Appl. Numer. Math. , vol.17 , pp. 191-211
    • Andreucci, D.1    Bianchini, M.2    Pasquali, A.3
  • 2
    • 0343075784 scopus 로고
    • On a mathematical model for the crystallization of polymers
    • Wacker, Hj. and Zulchnez, W. (eds.)
    • Andreucci, D., Fasano, A. and Primicerio, M., 'On a mathematical model for the crystallization of polymers', In: Wacker, Hj. and Zulchnez, W. (eds.) Proc. ECMI 4, (1991) pp. 3-16.
    • (1991) Proc. ECMI , vol.4 , pp. 3-16
    • Andreucci, D.1    Fasano, A.2    Primicerio, M.3
  • 6
    • 85032229179 scopus 로고    scopus 로고
    • Modelling nucleation in crystallization of polymers
    • Niezgodka, M. and Strzelecki, P. (eds.) Free Boundary Problems: Theory and Applications, Longman
    • Andreucci, D., Fasano, A., Gianni, R., Primicerio, M. and Ricci, R., 'Modelling nucleation in crystallization of polymers', In: Niezgodka, M. and Strzelecki, P. (eds.) Free Boundary Problems: Theory and Applications, Pitman Res. Notes in Math., Longman 363, 1996, pp. 359-367.
    • (1996) Pitman Res. Notes in Math. , vol.363 , pp. 359-367
    • Andreucci, D.1    Fasano, A.2    Gianni, R.3    Primicerio, M.4    Ricci, R.5
  • 8
    • 0343947671 scopus 로고    scopus 로고
    • Mathematical problems in the Ziegler-Natta polymerization process
    • Fasano, A. (ed.), MSSET Birkhäuser
    • Andreucci, D. and Ricci, R., 'Mathematical problems in the Ziegler-Natta polymerization process', In: Fasano, A. (ed.) Complex Flows in Industrial Processes, MSSET Birkhäuser, (2000), 215-238.
    • (2000) Complex Flows in Industrial Processes , pp. 215-238
    • Andreucci, D.1    Ricci, R.2
  • 9
    • 0343947670 scopus 로고    scopus 로고
    • Existence, uniqueness, and error estimates for a model of polymer crystallization
    • Andreucci, D. and Verdi, C., 'Existence, uniqueness, and error estimates for a model of polymer crystallization', Adv. in Math. Sci. Appl. 5 (1998) 391-409.
    • (1998) Adv. in Math. Sci. Appl. , vol.5 , pp. 391-409
    • Andreucci, D.1    Verdi, C.2
  • 10
    • 0342869049 scopus 로고
    • Kinetics of phase change I, II, III
    • Avrami, M., 'Kinetics of phase change I, II, III', J. Chem. Phys. 7 (1939) 1103-1112, J. Chem. Phys. 8 (1940) 212-224, J. Chem. Phys. 9 (1941) 177-184.
    • (1939) J. Chem. Phys. , vol.7 , pp. 1103-1112
    • Avrami, M.1
  • 11
    • 0001336124 scopus 로고
    • Avrami, M., 'Kinetics of phase change I, II, III', J. Chem. Phys. 7 (1939) 1103-1112, J. Chem. Phys. 8 (1940) 212-224, J. Chem. Phys. 9 (1941) 177-184.
    • (1940) J. Chem. Phys. , vol.8 , pp. 212-224
  • 12
    • 0346395110 scopus 로고
    • Avrami, M., 'Kinetics of phase change I, II, III', J. Chem. Phys. 7 (1939) 1103-1112, J. Chem. Phys. 8 (1940) 212-224, J. Chem. Phys. 9 (1941) 177-184.
    • (1941) J. Chem. Phys. , vol.9 , pp. 177-184
  • 13
    • 0001236857 scopus 로고
    • The discrete coagulation-fragmentation equations: Existence, uniqueness, and density conservation
    • Ball, J.M. and Carr, J., 'The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation', J. Statist. Phys. 61 (1990) 203-234.
    • (1990) J. Statist. Phys. , vol.61 , pp. 203-234
    • Ball, J.M.1    Carr, J.2
  • 14
    • 0021621658 scopus 로고
    • General treatment of polymer crystallization kinetics, Part 1: A new macrokinetic equation and its experimental verification
    • Beghjev, V.P., Bolgov, S.A., Keapin, I.A. and Malkin, A.Y., 'General treatment of polymer crystallization kinetics, Part 1: a new macrokinetic equation and its experimental verification', Polym. Eng. Sci., Polym. Phys. Ed. 24 (1984) 1396-1401.
    • (1984) Polym. Eng. Sci., Polym. Phys. Ed. , vol.24 , pp. 1396-1401
    • Beghjev, V.P.1    Bolgov, S.A.2    Keapin, I.A.3    Malkin, A.Y.4
  • 15
    • 0000405814 scopus 로고
    • Non-isothermal crystallization, crystallization of polymers, system of rate equations
    • Berger, J., Köppl, A. and Schneider, W., 'Non-isothermal crystallization, crystallization of polymers, system of rate equations', Int. Polym. Processing 2 (1988) 151-154.
    • (1988) Int. Polym. Processing , vol.2 , pp. 151-154
    • Berger, J.1    Köppl, A.2    Schneider, W.3
  • 16
    • 0001039566 scopus 로고
    • Transformation kinetics during continuous cooling
    • Cahn, J., 'Transformation kinetics during continuous cooling', Acta Metall. 4 (1956) 572-575.
    • (1956) Acta Metall. , vol.4 , pp. 572-575
    • Cahn, J.1
  • 17
    • 0001423611 scopus 로고    scopus 로고
    • Stochastic modelling and statistics of polymer crystallization processes
    • Capasso, V., Micheletti, A., De Giosa, M. and Mininni, R., 'Stochastic modelling and statistics of polymer crystallization processes', Surv. Math. Ind. 6 (1996) 109-132.
    • (1996) Surv. Math. Ind. , vol.6 , pp. 109-132
    • Capasso, V.1    Micheletti, A.2    De Giosa, M.3    Mininni, R.4
  • 18
    • 0343511940 scopus 로고    scopus 로고
    • Reactor granule technology: The science of structural versatility
    • Conference, Ferrara, 19-20 October 1998, Montell Polyolefins - Centro Ricerche "G. Natta"
    • Cecchin, G., 'Reactor granule technology: the science of structural versatility', In: Polypropylene, Past, Present and Future, Conference, Ferrara, 19-20 October 1998, Montell Polyolefins - Centro Ricerche "G. Natta".
    • Polypropylene, Past, Present and Future
    • Cecchin, G.1
  • 20
    • 0003340045 scopus 로고
    • Mathematical Theory of Coagulation
    • Seoul Nat. Univ.
    • Duvobski, P.B., Mathematical Theory of Coagulation, Lecture Notes Ser. 23, Seoul Nat. Univ., 1994.
    • (1994) Lecture Notes Ser. , vol.23
    • Duvobski, P.B.1
  • 21
    • 0000617501 scopus 로고    scopus 로고
    • Structure development during processing: Crystallization
    • Meijer, H.E.H. (ed.), Material Science and Technology VCH
    • Eder, G. and Janeschitz-Kriegl, H., 'Structure development during processing: crystallization', In: Meijer, H.E.H. (ed.), Proceedings of Polymers, Material Science and Technology 18, VCH, 1997.
    • (1997) Proceedings of Polymers , vol.18
    • Eder, G.1    Janeschitz-Kriegl, H.2
  • 22
    • 0343511936 scopus 로고
    • Modelling the solidification of polymers: An example of an ECMI cooperation
    • O'Malley, R.E. (ed.)
    • Fasano, A., 'Modelling the solidification of polymers: an example of an ECMI cooperation', In: O'Malley, R.E. (ed.), ICIAM 91, 1991, pp. 99-118.
    • (1991) ICIAM 91 , pp. 99-118
    • Fasano, A.1
  • 23
    • 0343075779 scopus 로고    scopus 로고
    • Modello matematico di replica nel caso limite di distribuzione continua di centri attivi
    • Mazzullo, S. and Cecchin, G. (eds.), Montell Polyolefins - Centro Ricerche "G. Natta"
    • Fasano, A., Andreucci, D. and Ricci, R., 'Modello matematico di replica nel caso limite di distribuzione continua di centri attivi', In: Mazzullo, S. and Cecchin, G. (eds.), Meccanismi di Accrescimento di Polietilene su Catalizzatori Ziegler-Natta Simposio Montell 96, Montell Polyolefins - Centro Ricerche "G. Natta" 1997, pp. 155-174.
    • (1997) Meccanismi di Accrescimento di Polietilene Su Catalizzatori Ziegler-Natta Simposio Montell 96 , pp. 155-174
    • Fasano, A.1    Andreucci, D.2    Ricci, R.3
  • 24
    • 0342641660 scopus 로고    scopus 로고
    • Existence and uniqueness of a classical solution for a mathematical model describing the isobaric crystallization of a polymer
    • Fasano, A. and Mancini, A., 'Existence and uniqueness of a classical solution for a mathematical model describing the isobaric crystallization of a polymer', Interfaces & Free Boundaries 2 (2000) 1-19.
    • (2000) Interfaces & Free Boundaries , vol.2 , pp. 1-19
    • Fasano, A.1    Mancini, A.2
  • 26
    • 0342641661 scopus 로고
    • On mathematical models for nucleation and crystal growth processes
    • Lions, J.L. and Baiocchi, C. (eds.), Masson
    • Fasano, A. and Primicerio, M., 'On mathematical models for nucleation and crystal growth processes', In: Lions, J.L. and Baiocchi, C. (eds.), Boundary Value Problems for P.D.E.'s and Applications, Masson, 1993, pp. 351-358.
    • (1993) Boundary Value Problems for P.D.E.'s and Applications , pp. 351-358
    • Fasano, A.1    Primicerio, M.2
  • 27
    • 0343947656 scopus 로고
    • On a class of travelling wave solutions to phase change problems with an order parameter
    • Kenmochi, N. and Nietzgodka, M. (eds.), Warsaw
    • Fasano, A. and Primicerio, M., 'On a class of travelling wave solutions to phase change problems with an order parameter', In: Kenmochi, N. and Nietzgodka, M. (eds.), Workshop on Nonlinear Analysis and Applications, Warsaw, 1995, pp. 113-123.
    • (1995) Workshop on Nonlinear Analysis and Applications , pp. 113-123
    • Fasano, A.1    Primicerio, M.2
  • 29
    • 0000053713 scopus 로고
    • Statistical theory of crystallization of metals
    • Kolmogorov, A.N., 'Statistical theory of crystallization of metals', Bull. Acad. Sci. USSR Mat. Sci. 1 (1937) 355-359.
    • (1937) Bull. Acad. Sci. USSR Mat. Sci. , vol.1 , pp. 355-359
    • Kolmogorov, A.N.1
  • 31
    • 0003248914 scopus 로고
    • Heat and mass transfer during olefin polymerization from the gas phase
    • Reichert, K.H. and Geiseler, W. (eds.), Hanser (Munich)
    • Laurence, R.L. and Chiovetta, M.G. 'Heat and mass transfer during olefin polymerization from the gas phase', In: Reichert, K.H. and Geiseler, W. (eds.), Polymer Reaction Eng., Hanser (Munich), 1983, pp. 73-112.
    • (1983) Polymer Reaction Eng. , pp. 73-112
    • Laurence, R.L.1    Chiovetta, M.G.2
  • 35
    • 0342641653 scopus 로고    scopus 로고
    • Model for the crystallization of polypropylene under pressure
    • Arkeryd, L. et al. (eds.), Teubner
    • Mancini, A., 'Model for the crystallization of polypropylene under pressure', In: Arkeryd, L. et al. (eds.), Progress in Industrial Mathematics (ECMI 98), Teubner, 1999.
    • (1999) Progress in Industrial Mathematics (ECMI 98)
    • Mancini, A.1
  • 37
    • 0343947651 scopus 로고    scopus 로고
    • Molecular theories of polymer viscosity
    • Fasano, A. (ed.), MSSET Birkhäuser
    • Marrucci, G. and Ianniruberto, G., 'Molecular theories of polymer viscosity', In: Fasano, A. (ed.), Complex Flows in Industrial Processes, MSSET Birkhäuser, (2000) 3-24.
    • (2000) Complex Flows in Industrial Processes , pp. 3-24
    • Marrucci, G.1    Ianniruberto, G.2
  • 38
    • 0343511929 scopus 로고    scopus 로고
    • Mathematical model for isobaric nonisothermal crystallization of polypropylene
    • Brons, M. (ed.), B.G. Teubner-Stuttgart
    • Mazzullo, S., Corrieri, R., and De Luigi, C., 'Mathematical model for isobaric nonisothermal crystallization of polypropylene', In: Brons, M. (ed.), Progress in Industrial Mathematics (ECMI 96), B.G. Teubner-Stuttgart, 1997.
    • (1997) Progress in Industrial Mathematics (ECMI 96)
    • Mazzullo, S.1    Corrieri, R.2    De Luigi, C.3
  • 39
    • 0343075768 scopus 로고    scopus 로고
    • Modello polimerico multigrain e double grain
    • Mazzullo, S. and Cecchin, G. (eds.), Simposio Montell 96, Montell Polyolefins - Centro Ricerche "G. Natta"
    • Mei, G., 'Modello polimerico multigrain e double grain', In: Mazzullo, S. and Cecchin, G. (eds.), Meccanismi di accrescimento dipoliolefine su catalizzatori Ziegler-Natta, Simposio Montell 96, Montell Polyolefins - Centro Ricerche "G. Natta", 1997, pp. 135-153.
    • (1997) Meccanismi di Accrescimento Dipoliolefine Su Catalizzatori Ziegler-Natta , pp. 135-153
    • Mei, G.1
  • 43
    • 0001985129 scopus 로고    scopus 로고
    • Phenomenologycal modeling of polymer crystallization using the notion of multiple natural configurations
    • Rao, I.J. and Rajagopal, K.R., Phenomenologycal modeling of polymer crystallization using the notion of multiple natural configurations, Interfaces & Free Boundaries 2 (2000) 73-94.
    • (2000) Interfaces & Free Boundaries , vol.2 , pp. 73-94
    • Rao, I.J.1    Rajagopal, K.R.2
  • 44
    • 0001739113 scopus 로고
    • Anlaufzest den Austenitumwandung
    • Scheil, E., 'Anlaufzest den Austenitumwandung', Arch. für Eisenhüttenwesen 8 (1935) 565-579.
    • (1935) Arch. für Eisenhüttenwesen , vol.8 , pp. 565-579
    • Scheil, E.1
  • 45
    • 0015125027 scopus 로고
    • Polymerization in expanding catalyst particles
    • Schmeal, W.R. and Street, J.R., 'Polymerization in expanding catalyst particles', AIChE J. 17 (1971) 1188-1197.
    • (1971) AIChE J. , vol.17 , pp. 1188-1197
    • Schmeal, W.R.1    Street, J.R.2
  • 46
    • 0009246881 scopus 로고
    • Solvability of the classical initial boundary value problem for the heat conduction equation in a dihedral angle
    • Solonnikov, V.A., 'Solvability of the classical initial boundary value problem for the heat conduction equation in a dihedral angle', J. Soviet Math. 32 (1986) 526-546.
    • (1986) J. Soviet Math. , vol.32 , pp. 526-546
    • Solonnikov, V.A.1
  • 47
    • 0000237373 scopus 로고
    • Theory of phase transition kinetics with growth site impingement, I, II
    • Tobin, M.C., 'Theory of phase transition kinetics with growth site impingement, I, II', J. Polym. Sci. Phys. Ed. 12 (1974) 394-406, 14 (1976) 2253-2257.
    • (1974) J. Polym. Sci. Phys. Ed. , vol.12 , pp. 394-406
    • Tobin, M.C.1
  • 48
    • 0000877401 scopus 로고
    • Tobin, M.C., 'Theory of phase transition kinetics with growth site impingement, I, II', J. Polym. Sci. Phys. Ed. 12 (1974) 394-406, 14 (1976) 2253-2257.
    • (1976) J. Polym. Sci. Phys. Ed. , vol.14 , pp. 2253-2257
  • 49
    • 0031185160 scopus 로고    scopus 로고
    • Motion by mean curvature and nucleation
    • Visintin, A., 'Motion by mean curvature and nucleation', C.R. Acad. Sci. Paris 325(I) (1997) 55-60.
    • (1997) C.R. Acad. Sci. Paris , vol.325 , Issue.1 , pp. 55-60
    • Visintin, A.1
  • 50
    • 36849108127 scopus 로고
    • Generalized theory of nucleation kinetics I, II
    • Ziabicki, A., 'Generalized theory of nucleation kinetics I, II', J. Chem. Phys. 48 (1968) 4368-4380.
    • (1968) J. Chem. Phys. , vol.48 , pp. 4368-4380
    • Ziabicki, A.1
  • 51
    • 0016039242 scopus 로고
    • Theoretical analysis of oriented and non-isothermal crystallization, Part I and Part II
    • Ziabicki, A., 'Theoretical analysis of oriented and non-isothermal crystallization, Part I and Part II', Colloid & Polym. Sci. 252 (1974) 207-221, 433-447.
    • (1974) Colloid & Polym. Sci. , vol.252 , pp. 207-221
    • Ziabicki, A.1
  • 52
    • 0000116157 scopus 로고    scopus 로고
    • Crystallization of polymers in variable external conditions. Part I
    • Ziabicki, A., 'Crystallization of polymers in variable external conditions. Part I', Colloid & Polym. Sci. 274 (1996) 207-217.
    • (1996) Colloid & Polym. Sci. , vol.274 , pp. 207-217
    • Ziabicki, A.1
  • 53
    • 0003138154 scopus 로고    scopus 로고
    • Crystallization of polymers in variable external conditions. Part II
    • Ziabicki, A., 'Crystallization of polymers in variable external conditions. Part II', Colloid & Polym. Sci. 274 (1996) 705-716.
    • (1996) Colloid & Polym. Sci. , vol.274 , pp. 705-716
    • Ziabicki, A.1
  • 54
    • 0031692061 scopus 로고    scopus 로고
    • Crystallization of polymers in variable external conditions. Part III
    • Ziabicki, A. and Sujkiewicz, P., 'Crystallization of polymers in variable external conditions. Part III', Colloid & Polym. Sci. 276 (1998) 680-689.
    • (1998) Colloid & Polym. Sci. , vol.276 , pp. 680-689
    • Ziabicki, A.1    Sujkiewicz, P.2
  • 56
    • 0028514533 scopus 로고
    • Memory effects in thermal crystallization, I, II
    • Ziabicki, A. and Alfonso, G.C., 'Memory effects in thermal crystallization, I, II', Colloid & Polym. Sci. 272 (1994) 1027, 273 (1995).
    • (1994) Colloid & Polym. Sci. , vol.272 , pp. 1027
    • Ziabicki, A.1    Alfonso, G.C.2
  • 57
    • 0028514533 scopus 로고
    • Ziabicki, A. and Alfonso, G.C., 'Memory effects in thermal crystallization, I, II', Colloid & Polym. Sci. 272 (1994) 1027, 273 (1995).
    • (1995) Colloid & Polym. Sci. , vol.273


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