Global Smooth Solutions for the Inviscid SQG Equation

In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.

Saved in:
Bibliographic Details
Main Authors: Castro, Angel, Córdoba, Diego, Gómez-Serrano, Javier
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2020
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Differential equations, Nonlinear
Differential equations, Nonlinear > Numerical solutions
Flows (Differentiable dynamical systems)
Fluid dynamics
Fluid dynamics > Mathematical models
Fluid mechanics
Geostrophic currents
Geostrophic currents > Mathematical models
Interval analysis (Mathematics)
Inviscid flow
Smoothness of functions
Global existence
surface quasi-geostrophic
incompressible
computer-assisted
ISBN:9781470442149, 1470442140
ISSN:0065-9266, 1947-6221
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
AbstractList In this paper, the authors show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
Author Córdoba, Diego
Gómez-Serrano, Javier
Castro, Angel
Author_xml – sequence: 1
  givenname: Angel
  surname: Castro
  fullname: Castro, Angel
  email: angel_castro@icmat.es
  organization: Departamento de Matemáticas, Universidad Autónoma de Madrid, Instituto de Ciencias Matemáticas-CSIC, C/ Nicolas Cabrera, 13-15, 28049 Madrid, Spain
– sequence: 2
  givenname: Diego
  surname: Córdoba
  fullname: Córdoba, Diego
  email: dcg@icmat.es
  organization: Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/ Nicolas Cabrera, 13-15, 28049 Madrid, Spain
– sequence: 3
  givenname: Javier
  surname: Gómez-Serrano
  fullname: Gómez-Serrano, Javier
  email: jg27@math.princeton.edu
  organization: Department of Mathematics, Princeton University, 610 Fine Hall, Washington Rd, Princeton, NJ 08544
BackLink https://cir.nii.ac.jp/crid/1130004957806011648$$DView record in CiNii
BookMark eNo1kc1Lw0AQxddPbLUH_4OAgniInZnsR_aopVahIFLxumySDY2mWe2m9d83sfUyc5jfvAfvDdlx4xvH2CXCHYKG8cqt_BhJ0wEbIlfAJXGVHrIBaq5iSYRHbKRV-nfjhFwfswGAFLEmKU_YkIAAEkpAnXYK3ZeWCQCesVEIHwBAXAqBfMDErPaZraPFyvt2GS18vWkr34So9OuoXbroudlWIa-KaPE6i6bfG9ufL9hJaevgRvt9zt4fp2-Tp3j-Mnue3M9jSyoliinLoMiszV0BhXROOm0diZyUgDzXKEmiIMjB6sSVqnBgqSgdJ1FohWWSnLPbnbANn-4nLH3dBrOtXeb9ZzD_CfTpiI692bFfa_-9caE1f1jumnZtazN9mMiEyy6HjrzekU1VmbzqJ2KXD3AtVAoSECVPO-xqb74KZm-JYPqGTN-Q6RtKfgG9pnZZ
CitedBy_id crossref_primary_10_1007_s00220_024_05049_9
crossref_primary_10_1093_imrn_rnab371
crossref_primary_10_1090_memo_1577
crossref_primary_10_1007_s00205_022_01827_8
crossref_primary_10_1007_s40818_022_00140_7
crossref_primary_10_1007_s40818_023_00166_5
crossref_primary_10_1016_j_aim_2022_108779
crossref_primary_10_1090_qam_1661
crossref_primary_10_1007_s40818_021_00095_1
crossref_primary_10_1088_1361_6544_adf9b1
crossref_primary_10_1007_s00220_021_04290_w
crossref_primary_10_1007_s10884_024_10400_8
crossref_primary_10_1215_00127094_2021_0002
crossref_primary_10_1007_s00220_023_04741_6
ContentType eBook
Book
Copyright Copyright 2020 American Mathematical Society
Copyright_xml – notice: Copyright 2020 American Mathematical Society
DBID RYH
DEWEY 620.10640000000001
DOI 10.1090/memo/1292
DatabaseName CiNii Complete
DatabaseTitleList

DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
Engineering
Mathematics
EISBN 1470462478
9781470462475
EISSN 1947-6221
Edition 1
ExternalDocumentID 9781470462475
EBC6346630
BC03017992
10_1090_memo_1292
GroupedDBID --Z
-~X
123
4.4
85S
ABPPZ
ACNCT
ACNUO
AEGFZ
AENEX
ALMA_UNASSIGNED_HOLDINGS
DU5
P2P
RMA
WH7
YNT
YQT
38.
AABBV
AAWPO
ABARN
ABQPQ
ACLGV
ADVEM
AEKGI
AERYV
AFOJC
AHWGJ
AJFER
BBABE
BKSDG
CZZ
GEOUK
RYH
ID FETCH-LOGICAL-a27822-2bb0dbaaced0d6ee6e9ae25c2750cc916261520c0a93ef7de0a2dfe425d971f33
ISBN 9781470442149
1470442140
ISICitedReferencesCount 43
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=0000058258&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0065-9266
IngestDate Fri Nov 08 03:44:46 EST 2024
Wed Dec 10 11:31:00 EST 2025
Fri Jun 27 00:23:37 EDT 2025
Thu Aug 14 15:25:34 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Keywords Global existence
surface quasi-geostrophic
incompressible
computer-assisted
LCCN 2020032307
LCCallNum_Ident TA357$b.C378 2020
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-a27822-2bb0dbaaced0d6ee6e9ae25c2750cc916261520c0a93ef7de0a2dfe425d971f33
Notes Includes bibliographical reference (p. 87-89)
July 2020, volume 266, number 1292 (second of 6 numbers)
OCLC 1194963001
OpenAccessLink http://hdl.handle.net/10261/232329
PQID EBC6346630
PageCount 102
ParticipantIDs askewsholts_vlebooks_9781470462475
proquest_ebookcentral_EBC6346630
nii_cinii_1130004957806011648
ams_ebooks_10_1090_memo_1292
PublicationCentury 2000
PublicationDate [2020]
PublicationDateYYYYMMDD 2020-01-01
PublicationDate_xml – year: 2020
  text: [2020]
PublicationDecade 2020
PublicationPlace Providence, Rhode Island
PublicationPlace_xml – name: Providence, Rhode Island
– name: Providence, R.I
– name: Providence
PublicationSeriesTitle Memoirs of the American Mathematical Society
PublicationYear 2020
Publisher American Mathematical Society
Publisher_xml – name: American Mathematical Society
SSID ssj0002465514
ssj0008047
Score 2.7224288
Snippet In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
In this paper, the authors show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
SourceID askewsholts
proquest
nii
ams
SourceType Aggregation Database
Publisher
SubjectTerms Differential equations, Nonlinear
Differential equations, Nonlinear -- Numerical solutions
Flows (Differentiable dynamical systems)
Fluid dynamics
Fluid dynamics -- Mathematical models
Fluid mechanics
Geostrophic currents
Geostrophic currents -- Mathematical models
Interval analysis (Mathematics)
Inviscid flow
Smoothness of functions
TableOfContents Introduction -- The equations -- Main theorem and Crandall-Rabinowitz (C-R) theorem -- Checking the hypotheses of the C-R theorem for the equation 2.7 -- Asymptotics -- Implementation of the computer-assisted part and rigorous numerical results -- Finite projections
Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. The equations -- Chapter 3. Main theorem and Crandall-Rabinowitz (C-R) theorem -- Chapter 4. Checking the hypotheses of the C-R theorem for the equation 2.7 -- 4.1. Step 1. The functional setting and the hypothesis 1 -- 4.2. Step 2. The partial derivatives of the functional -- 4.3. Step 3. Analysis of the linear operator -- 4.4. Step 4. The transversality property 4 -- Acknowledgments -- Appendix A. Asymptotics -- Appendix B. Implementation of the computer-assisted part and rigorous numerical results -- Appendix C. Finite projections -- Bibliography -- Back Cover
Title Global Smooth Solutions for the Inviscid SQG Equation
URI https://www.ams.org/memo/1292/
https://cir.nii.ac.jp/crid/1130004957806011648
https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=6346630
https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9781470462475
Volume 266
WOSCitedRecordID wos0000058258&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3fb9MwELZY4YG-AAO0jm2yEG9TNMdx4vi1pQxpaIA00N4ix3ZQtDWBpqum_fXc5YdXugfEAy9WY1U-6T7Ld-c7f0fIO9gFUSGLIuDORYHQSgU6T3SgRBqBu6tFXLQkrp_k-Xl6eam-9B0_m7adgKyq9PZW_fyvUMMcgI1PZ_8Bbr8oTMBvAB1GgB3GLY_Yf27S9x83i7rGsvNBiC8kLKs1PsEFB_Pr6bH7dfNHDn6mm1X_5GUoc22nMZE-jZYWlsbCIAiE2xvn96X7UfvanXrh7gI4dcDudYkcjdZ280KBs60LhftMkeeNRV6S2hOT-OgzFJIJwcOOc_TBWcwUFi8u3KLG2wHetbzbIreezjAkk0qBFd2RCUTPj0_nn7-d-WsyjvxubXMuL80zdQ3SB8IoxU5Q2gnKaolzmzEZ6-YKrAVYkhV87VRl-cDotp7ExXMywtclL8gjV-2SZ30MQPsTttkl4w2CyJck7jClHabUY0oBUwp6owOmFDClA6avyPcP84vZx6BvdBFojh5awPOc2Vxr4yyziXOJU9rx2CD5vjHgwUOcG3NmmFaRK6R1THNbODhvrZJhEUWvyaiqK7eHpWpWhIWwUWycUEZqXpgkFcbGRuXKsgk5AMVkbSq-yboSBJah3jLU24S83dBYtr7u_zgoPOFCxhNyCIrMTIljiAlRiDPh6EduHwi_0wmhg4o7QX2hcTafzpJIgJPL9v-yxBvy9H5vHpDRannjDskTs16VzfKo3yW_AY3oVHQ
linkProvider ProQuest Ebooks
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.title=Global+smooth+solutions+for+the+inviscid+SQG+equation&rft.au=Castro%2C+Angel&rft.au=C%C3%B3rdoba+Gazolaz%2C+Diego&rft.au=Gomez-Serrano%2C+Javier&rft.date=2020-01-01&rft.pub=American+Mathematical+Society&rft.isbn=9781470442149&rft_id=info:doi/10.1090%2Fmemo%2F1292&rft.externalDocID=BC03017992
thumbnail_m http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97814704%2F9781470462475.jpg