Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence
American Mathematical Society
[2021]
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| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 271, number 1328 (fifth of 7 numbers) |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | v, 106 Seiten |
| ISBN: | 9781470447861 |
Internformat
MARC
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| 100 | 1 | |a Throm, Sebastian |0 (DE-588)1027214304 |4 aut | |
| 245 | 1 | 0 | |a Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel |c Sebastian Throm |
| 264 | 1 | |a Providence |b American Mathematical Society |c [2021] | |
| 300 | |a v, 106 Seiten | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 271, number 1328 (fifth of 7 numbers) | |
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Datensatz im Suchindex
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| adam_text | Contents
Chapter 1 Introduction
1 1 Smoluchowski’s equation
1 2 Long-time behaviour and self-similarity
1 3 The equation for self-similar profiles
1 4 Finite mass, fat-tailed profiles and scale invariance
1 5 Existence and uniqueness of self-similar profiles
1 6 The constant kernel K = 2
1 7 Assumptions on the kernel K
1 8 Preliminary work and main result
1 9 The boundary layer at zero
1 10 Outline of the main ideas and strategy of the proof
Chapter 2 Functional setup and preliminaries
2 1 Function spaces and norms
2 2 Transforming the equation to Laplace variables
2 3 Notation and elementary properties of T
Chapter 3 Uniqueness of profiles - Proof of Theorem 1 12
3 1 Key ingredients for the proof
3 2 Proof of Theorem 1 12
Chapter 4 Continuity estimates
4 1 Proof of Lemmas 3 1 and 3 3
4 2 Proof of Proposition 3 5
4 3 Estimates for differences - Proof of Proposition 3 6
Chapter 5 Linearised coagulation operator — Proof of Proposition 3 7
Chapter 6 Uniform bounds on self-similar profiles
61A priori estimates for self-similar profiles
6 2 Uniform convergence in Laplace variables
6 3 Proof of Propositions 3 8 and 3 9
Chapter 7 The boundary layer estimate
7 1 Boundary layer equation
7 2 Preliminary estimates
7 3 Proof of Proposition 3 10
Chapter 8 The representation formula for Ho(-, q)
8 1 Analyticity properties
8 2 Proof of Proposition 7 11
iii
WOON PR WYN He
Hm
m
mom
mw m
4l
iv CONTENTS
Chapter 9, Integral estimate on So(-,¢)
9 1 Proof of Proposition 7 12
10 1 Bounds on moments
10 2 Asymptotic behaviour of Bw and ®
10 3 Regularity properties close to zero
Appendix A Useful elementary results
Appendix B The representation formula for W
B 1 Proof of Proposition 1 2
B 2 Integral estimates on 20
Appendix C Existence of profiles
Acknowledgments
Bibliography
|
| adam_txt |
Contents
Chapter 1 Introduction
1 1 Smoluchowski’s equation
1 2 Long-time behaviour and self-similarity
1 3 The equation for self-similar profiles
1 4 Finite mass, fat-tailed profiles and scale invariance
1 5 Existence and uniqueness of self-similar profiles
1 6 The constant kernel K = 2
1 7 Assumptions on the kernel K
1 8 Preliminary work and main result
1 9 The boundary layer at zero
1 10 Outline of the main ideas and strategy of the proof
Chapter 2 Functional setup and preliminaries
2 1 Function spaces and norms
2 2 Transforming the equation to Laplace variables
2 3 Notation and elementary properties of T
Chapter 3 Uniqueness of profiles - Proof of Theorem 1 12
3 1 Key ingredients for the proof
3 2 Proof of Theorem 1 12
Chapter 4 Continuity estimates
4 1 Proof of Lemmas 3 1 and 3 3
4 2 Proof of Proposition 3 5
4 3 Estimates for differences - Proof of Proposition 3 6
Chapter 5 Linearised coagulation operator — Proof of Proposition 3 7
Chapter 6 Uniform bounds on self-similar profiles
61A priori estimates for self-similar profiles
6 2 Uniform convergence in Laplace variables
6 3 Proof of Propositions 3 8 and 3 9
Chapter 7 The boundary layer estimate
7 1 Boundary layer equation
7 2 Preliminary estimates
7 3 Proof of Proposition 3 10
Chapter 8 The representation formula for Ho(-, q)
8 1 Analyticity properties
8 2 Proof of Proposition 7 11
iii
WOON PR WYN He
Hm
m
mom
mw m
4l
iv CONTENTS
Chapter 9, Integral estimate on So(-,¢)
9 1 Proof of Proposition 7 12
10 1 Bounds on moments
10 2 Asymptotic behaviour of Bw and ®
10 3 Regularity properties close to zero
Appendix A Useful elementary results
Appendix B The representation formula for W
B 1 Proof of Proposition 1 2
B 2 Integral estimates on 20
Appendix C Existence of profiles
Acknowledgments
Bibliography |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T18:34:21Z |
| indexdate | 2024-07-10T09:15:32Z |
| institution | BVB |
| isbn | 9781470447861 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032970001 |
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| physical | v, 106 Seiten |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Throm, Sebastian (DE-588)1027214304 aut Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel Sebastian Throm Providence American Mathematical Society [2021] v, 106 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 271, number 1328 (fifth of 7 numbers) Memoirs of the American Mathematical Society volume 271, number 1328 (fifth of 7 numbers) (DE-604)BV008000141 1328 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032970001&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Throm, Sebastian Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel Memoirs of the American Mathematical Society |
| title | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel |
| title_auth | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel |
| title_exact_search | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel |
| title_exact_search_txtP | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel |
| title_full | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel Sebastian Throm |
| title_fullStr | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel Sebastian Throm |
| title_full_unstemmed | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel Sebastian Throm |
| title_short | Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perbutation of the constant kernel |
| title_sort | uniqueness of fat tailed self similar profiles to smoluchowski s coagulation equation for a perbutation of the constant kernel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032970001&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT thromsebastian uniquenessoffattailedselfsimilarprofilestosmoluchowskiscoagulationequationforaperbutationoftheconstantkernel |