Journal article
The kinetic limit of a system of coagulating Brownian particles
- Abstract:
-
We consider a random model of diffusion and coagulation. A large number of small particles are randomly scattered at an initial time. Each particle has some integer mass and moves in a Brownian motion whose diffusion rate is determined by that mass. When any two particles are close, they are liable to combine into a single particle that bears the mass of each of them. Choosing the initial density of particles so that, if their size is very small, a typical one is liable to interact with a uni...
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- Publication status:
- Published
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Bibliographic Details
- Journal:
- ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Volume:
- 185
- Issue:
- 1
- Pages:
- 1-67
- Publication date:
- 2004-08-29
- DOI:
- EISSN:
-
1432-0673
- ISSN:
-
0003-9527
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Terms of use
- Copyright date:
- 2004
- Notes:
-
58 pages. Theorem 1.1 and Proposition 1 rewritten to indicate how the
proved convergence to the Smoluchowski PDE is stronger when uniqueness of
this solution is known
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