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Kinetic and Related Models (KRM)
 

On a model for mass aggregation with maximal size
Pages: 427 - 439, Volume 4, Issue 2, June 2011

doi:10.3934/krm.2011.4.427      Abstract        References        Full text (865.8K)           Related Articles

Ondrej Budáč - Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, Netherlands (email)
Michael Herrmann - Department of Mathematics, Saarland University, 66123 Saarbrücken, Germany (email)
Barbara Niethammer - Oxford Centre of Nonlinear PDE, Mathematical Insitute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, United Kingdom (email)
Andrej Spielmann - School of Computer and Communication Sciences, École polytechnique fédérale de Lausanne, CH - 1015 Lausanne, Switzerland (email)

1 A. Boudaoud, J. Bico and B. Roman, Elastocapillary coalescence: Aggregation and fragmentation with maximal size, Phys. Rev. E, 76 (2007), 060102.
2 R. L. Drake, A general mathematical survey of the coagulation equation, In G. M. Hidy and J. R. Brock eds., "Topics in current aerosol research (Part 2)"; International reviews in Aerosol Physics and Chemistry, Pergamon (1972), 201-376
3 M. Escobedo, S. Mischler and M. Rodriguez Ricard, On self-similarity and stationary problems for fragmentation and coagulation models, Ann. Inst. H. Poincaré Anal. Non Linéaire, 22 (2005), 99-125.       
4 N. Fournier and P. Laurençot, Existence of self-similar solutions to Smoluchowski's coagulation equation, Comm. Math. Phys., 256 (2005) 589-609.       
5 N. Fournier and P. Laurençot, Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels, J. Funct. Anal., 233 (2006) 351-379.       
6 S. K. Friedlander, "Smoke, Dust and Haze: Fundamentals of Aerosol Dynamics," Wiley, New York, 1977.
7 T. Gallay and A. Mielke, Convergence results for a coarsening model using global linearization, J. Nonlinear Science, 13 (2003), 311-346.       
8 F. Leyvraz, Scaling theory and exactly solvable models in the kinetics of irreversible aggregation, Phys. Reports, 383 (2003), 95-212.
9 G. Menon and R. L. Pego, Approach to self-similarity in Smoluchowski's coagulation equations, Comm. Pure Appl. Math., 57 (2004), 1197-1232.       
10 G. Menon, B. Niethammer and R. L. Pego, Dynamics and self-similarity in min-driven clustering, Trans. AMS, 362 (2010), 6551-6590.       
11 M. Smoluchowski, Drei vorträge über diffusion, brownsche molekularbewegung und koagulation von kolloidteilchen, Phys. Zeitschr., 17 (1916), 557-599.
12 R. M. Ziff, Kinetics of polymerization, J. Statist. Phys., 23 (1980), 241-263.       

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