Paper Info
Title
On the Oort--Hulst--Safronov Coagulation Equation and Its Relation to the Smoluchowski Equation
Abstract
A connection is established between the classical Smoluchowski continuous coagulation equation and the Oort-Hulst-Safronov coagulation equation via generalized coagulation equations. Existence of solutions to the Oort-Hulst-Safronov coagulation equation is shown, and the large time behavior and the occurrence of gelation are studied as well. It is also shown that a compactly supported initial distribution propagates with finite speed.
Year
DOI
Venue
2003
10.1137/S0036141002414470
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
coagulation,Smoluchowski equation,Oort-Hulst-Safronov equation,existence gelation,finite speed of propagation
Boltzmann equation,Mathematical analysis,Weak solution,Smoluchowski coagulation equation,Asymptotic analysis,Mathematics,Kernel (statistics)
Journal
Volume
Issue
ISSN
34
6
0036-1410
Citations 
PageRank 
References 
2
0.56
0
Authors
3
Name
Order
Citations
PageRank
Miroslaw Lachowicz1132.50
Philippe Laurençot23010.30
Dariusz Wrzosek321.24