Details

Subject(s)

• Statistical mechanics [Browse]
• Integro-differential equations [Browse]

Series

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1328

Summary note

"This article is concerned with the question of uniqueness of self-similar profiles for Smoluchowski's coagulation equation which exhibit algebraic decay (fat tails) at infinity. More precisely, we consider a rate kernel which can be written as The perturbation is assumed to have homogeneity zero and might also be singular both at zero and at infinity. Under further regularity assumptions on we will show that for sufficiently small there exists, up to normalisation of the tail behaviour at infinity, at most one self-similar profile. Establishing uniqueness of self-similar profiles for Smoluchowski's coagulation equation is generally considered to be a difficult problem which is still essentially open. Concerning fat-tailed self-similar profiles this article actually gives the first uniqueness statement for a non-solvable kernel"-- Provided by publisher.

Bibliographic references

Includes bibliographical references.

Reproduction note

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2021

Source of description

Description based on print version record.

ISBN

9781470466343 (online)

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