Gelation in coagulation and fragmentation models
作者： M. Escobedo , S. Mischler , B. Perthame
DOI: 10.1007/S00220-002-0680-9
关键词:
摘要: Rates of decay for the total mass solutions to Smoluchovski's equation with homogeneous kernels degree λ > 1 are proved. That implies that gelation always occurs. Morrey estimates from below and above on around time also obtained which in agreement previously known formal results profile at gelling time. The same techniques applied coagulation-fragmentation model is established some particular cases.
unirioja.es
springer.com
dauphine.fr 参考文章(29)
Pavel B Dubovskii, Mathematical theory of coagulation Seoul National University. ,(1994)
J. B. McLEOD, ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS Quarterly Journal of Mathematics. ,vol. 13, pp. 119- 128 ,(1962) , 10.1093/QMATH/13.1.119
J. M. Ball, J. Carr, THE DISCRETE COAGULATION-FRAGMENTATION EQUATIONS : EXISTENCE, UNIQUENESS, AND DENSITY CONSERVATION Journal of Statistical Physics. ,vol. 61, pp. 203- 234 ,(1990) , 10.1007/BF01013961
I. W. Stewart, On the coagulation-fragmentation equation Zeitschrift für Angewandte Mathematik und Physik. ,vol. 41, pp. 917- 924 ,(1990) , 10.1007/BF00945844
Intae Jeon, Existence of Gelling Solutions for Coagulation-Fragmentation Equations Communications in Mathematical Physics. ,vol. 194, pp. 541- 567 ,(1998) , 10.1007/S002200050368
P. G. J. van Dongen, M. H. Ernst, On the occurrence of a gelation transition in Smoluchowski's coagulation equation Journal of Statistical Physics. ,vol. 44, pp. 785- 792 ,(1986) , 10.1007/BF01011907
F Leyvraz, Existence and properties of post-gel solutions for the kinetic equations of coagulation Journal of Physics A. ,vol. 16, pp. 2861- 2873 ,(1983) , 10.1088/0305-4470/16/12/032
I. W. Stewart, A uniqueness theorem for the coagulation-fragmentation equation Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 107, pp. 573- 578 ,(1990) , 10.1017/S0305004100068821
Z. A. Melzak, A scalar transport equation Transactions of the American Mathematical Society. ,vol. 85, pp. 547- 560 ,(1957) , 10.1090/S0002-9947-1957-0087880-6
Warren H. White, A global existence theorem for Smoluchowski’s coagulation equations Proceedings of the American Mathematical Society. ,vol. 80, pp. 273- 276 ,(1980) , 10.1090/S0002-9939-1980-0577758-1