{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:24:51Z","timestamp":1787239491976,"version":"build-2736575974"},"reference-count":0,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:p>The SIGEST article in this issue, \u201cImprobability of Collisions of Point-Vortices in Bounded Planar Domains,\u201d by Martin Donati, is based on the 2022 SIAM Journal on Mathematics Analysis article \u201cTwo-Dimensional Point Vortex Dynamics in Bounded Domains: Global Existence for Almost Every Initial Data.\u201d This work concerns point-vortex dynamics in a very general bounded domain in the plane. The main result is that the set of initial configurations which lead to finite-time collision, although nonempty, has Lebesgue measure zero. This is an elegant and highly nontrivial extension to general bounded domains with $C^{2, \\alpha}$ boundary of a result previously known only for three domains: the full plane, a disk, and the complement of a disk. It is notable that the result also extends to point-vortex dynamics in multiply connected domains.<\/jats:p>\n                  <jats:p>In preparing this SIGEST version, the author has added a new introductory section that explains the context of the new results. Moreover, some of the technical details from the original article have been replaced by more accessible high-level explanations. Recent references on the topics of vortex collisions and desingularization problems are also included.<\/jats:p>\n                  <jats:p>This SIGEST article will be of particular interest to researchers in fluid mechanics, partial differential equations, and applied analysis.<\/jats:p>","DOI":"10.1137\/23n975636","type":"journal-article","created":{"date-parts":[[2023,2,9]],"date-time":"2023-02-09T12:38:38Z","timestamp":1675946318000},"page":"225-225","source":"Crossref","is-referenced-by-count":0,"title":["SIGEST"],"prefix":"10.1137","volume":"65","author":[{"family":"The Editors","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,2,9]]},"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/23N975636","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:34:30Z","timestamp":1787236470000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23N975636"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["10.1137\/23N975636"],"URL":"https:\/\/doi.org\/10.1137\/23n975636","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2]]}}}