An existence and uniqueness result for a coagulation and multiple-fragmentation equation

SIAM Journal on Mathematical Analysis

Volumn 28, Issue 5, 1997, Pages 1173-1190

  McLaughlin, D J ^a   Lamb, W ^a   McBride, A C ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Coagulation; Contraction mapping; Multiple fragmentation; Semigroup theory

Indexed keywords

EID: 0031478618     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141095291713     Document Type: Article

References (5)

1. M. AIZENMAN AND T.A. BAK, Convergence to equilibrium in a system of reacting polymers, Comm. Math. Phys., 65 (1979), pp. 203-230.
2. J.A. GOLDSTEIN, Semigroups of Linear Operators and Applications, Oxford University Press, Oxford, 1985.
3. E. HILLE AND R.S. PHILLIPS, Functional Analysis and Semigroups, American Mathematical Society Colloquium Publications, AMS, Providence, RI, 1957.
4. D.J. MCLAUGHLIN, Coagulation and Fragmentation Models: A Semigroup Approach, Ph.D. thesis, Univ. of Strathclyde, Glasgow, Scotland, February 1995.
5. D.J. MCLAUGHLIN, W. LAMB, AND A.C. MCBRIDE, A semigroup approach to fragmentation models, SIAM J. Math. Anal., 28 (1997), pp. 1158-1172.