{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:53:20Z","timestamp":1777449200559,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2015,2,1]],"date-time":"2015-02-01T00:00:00Z","timestamp":1422748800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2015,2]]},"abstract":"<jats:p>\n                    We consider the Euler equations on T\n                    <jats:sup>d<\/jats:sup>\n                    with analytic data and prove lower bounds for the radius of spatial analyticity \u03b5(t) of the solution using a new method based on inductive estimates in standard Sobolev spaces. Our results are consistent with similar previous results proved by Kukavica and Vicol, but give a more precise dependence of \u03b5(t) on the radius of analyticity of the initial datum.\n                  <\/jats:p>","DOI":"10.3233\/asy-141260","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:37:47Z","timestamp":1575056267000},"page":"103-110","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Some remarks on the radius of spatial analyticity for the Euler equations"],"prefix":"10.1177","volume":"91","author":[{"given":"Marco","family":"Cappiello","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy. E-mail: marco.cappiello@unito.it"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fabio","family":"Nicola","sequence":"additional","affiliation":[{"name":"Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino, Italy. E-mail: fabio.nicola@polito.it"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,2,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141260","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141260","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:21Z","timestamp":1777380021000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-141260"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["10.3233\/ASY-141260"],"URL":"https:\/\/doi.org\/10.3233\/asy-141260","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2]]}}}