University of Toronto
		    Fields Analysis Working Group
                    Thursday 8 March, 11:10-noon
		          Fields Institute



SPEAKER:  Alan Michael Hammond

TITLE:    Moment bounds and mass-conservation in PDE modelling 
	  coaslescence

ABSTRACT: We examine the behaviour of solutions to a system of PDE 
	  (the Smoluchowski PDE), that model the aggregation of 
	  mass-bearing particles that diffuse and are prone to 
	  coagulate in pairs at close range. Conditions under which 
	  these solutions conserve mass for all time will be 
	  presented, along with stronger estimates, moment bounds 
	  that show that heavy particles are rare. Uniqueness of 
	  solutions also follows from the moment bounds. 

	  This is joint work with Fraydoun Rezakhanlou. 




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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2006-2007 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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