Smoothness of moments of the solutions of discrete coagulation equations with diffusion

Maxime Breden; Laurent Desvillettes; Klemens Fellner

doi:10.1007/s00605-016-0969-y

Smoothness of moments of the solutions of discrete coagulation equations with diffusion

Maxime Breden
, Laurent Desvillettes
, Klemens Fellner

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

Abstract

In this paper, we establish smoothness of moments of the solutions of discrete coagulation-diffusion systems. As key assumptions, we suppose that the coagulation coefficients grow at most sub-linearly and that the diffusion coefficients converge towards a strictly positive limit (those conditions also imply the existence of global weak solutions and the absence of gelation).

Original language	English
Pages (from-to)	437-463
Number of pages	27
Journal	Monatshefte fur Mathematik
Volume	183
Issue number	3
DOIs	https://doi.org/10.1007/s00605-016-0969-y
Publication status	Published - 1 Jul 2017
Externally published	Yes

Keywords

Discrete coagulation systems
Duality arguments
Moments estimates
Regularity
Smoluchowski equations
Smoothness

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10.1007/s00605-016-0969-y

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abstract = "In this paper, we establish smoothness of moments of the solutions of discrete coagulation-diffusion systems. As key assumptions, we suppose that the coagulation coefficients grow at most sub-linearly and that the diffusion coefficients converge towards a strictly positive limit (those conditions also imply the existence of global weak solutions and the absence of gelation).",

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AU - Breden, Maxime

AU - Desvillettes, Laurent

AU - Fellner, Klemens

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N2 - In this paper, we establish smoothness of moments of the solutions of discrete coagulation-diffusion systems. As key assumptions, we suppose that the coagulation coefficients grow at most sub-linearly and that the diffusion coefficients converge towards a strictly positive limit (those conditions also imply the existence of global weak solutions and the absence of gelation).

AB - In this paper, we establish smoothness of moments of the solutions of discrete coagulation-diffusion systems. As key assumptions, we suppose that the coagulation coefficients grow at most sub-linearly and that the diffusion coefficients converge towards a strictly positive limit (those conditions also imply the existence of global weak solutions and the absence of gelation).

KW - Discrete coagulation systems

KW - Duality arguments

KW - Moments estimates

KW - Regularity

KW - Smoluchowski equations

KW - Smoothness

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DO - 10.1007/s00605-016-0969-y

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JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3

ER -

Smoothness of moments of the solutions of discrete coagulation equations with diffusion

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Keywords

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