UNIQUENESS VIA PROBABILISTIC INTERPRETATION FOR THE DISCRETE COAGULATION FRAGMENTATION EQUATION

Benjamin Jourdain

doi:10.4310/CMS.2004.v2.n5.a6

UNIQUENESS VIA PROBABILISTIC INTERPRETATION FOR THE DISCRETE COAGULATION FRAGMENTATION EQUATION

Benjamin Jourdain

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, supposing that either the initial data is small or the fragmentation phenomenon dominates the coagulation, we associate a nonlinear stochastic process with any solution of the mass-flow equation obtained from the discrete Smoluchowski coagulation fragmentation equation by a natural change of variables. This enables us to deduce uniqueness for the mass flow equation and therefore for the corresponding Smoluchowski equation thanks to a coupling argument.

Original language	English
Pages (from-to)	75-83
Number of pages	9
Journal	Communications in Mathematical Sciences
Volume	2
DOIs	https://doi.org/10.4310/CMS.2004.v2.n5.a6
Publication status	Published - 1 Jan 2004

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title = "UNIQUENESS VIA PROBABILISTIC INTERPRETATION FOR THE DISCRETE COAGULATION FRAGMENTATION EQUATION",

abstract = "In this paper, supposing that either the initial data is small or the fragmentation phenomenon dominates the coagulation, we associate a nonlinear stochastic process with any solution of the mass-flow equation obtained from the discrete Smoluchowski coagulation fragmentation equation by a natural change of variables. This enables us to deduce uniqueness for the mass flow equation and therefore for the corresponding Smoluchowski equation thanks to a coupling argument.",

author = "Benjamin Jourdain",

note = "Publisher Copyright: {\textcopyright} 2004 International Press",

year = "2004",

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N2 - In this paper, supposing that either the initial data is small or the fragmentation phenomenon dominates the coagulation, we associate a nonlinear stochastic process with any solution of the mass-flow equation obtained from the discrete Smoluchowski coagulation fragmentation equation by a natural change of variables. This enables us to deduce uniqueness for the mass flow equation and therefore for the corresponding Smoluchowski equation thanks to a coupling argument.

AB - In this paper, supposing that either the initial data is small or the fragmentation phenomenon dominates the coagulation, we associate a nonlinear stochastic process with any solution of the mass-flow equation obtained from the discrete Smoluchowski coagulation fragmentation equation by a natural change of variables. This enables us to deduce uniqueness for the mass flow equation and therefore for the corresponding Smoluchowski equation thanks to a coupling argument.

UR - https://www.scopus.com/pages/publications/81455134787

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DO - 10.4310/CMS.2004.v2.n5.a6

M3 - Article

AN - SCOPUS:81455134787

SN - 1539-6746

VL - 2

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EP - 83

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

ER -

UNIQUENESS VIA PROBABILISTIC INTERPRETATION FOR THE DISCRETE COAGULATION FRAGMENTATION EQUATION

Abstract

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