{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T17:45:35Z","timestamp":1776707135421,"version":"3.51.2"},"reference-count":16,"publisher":"American Mathematical Society (AMS)","issue":"1","license":[{"start":{"date-parts":[[2012,9,7]],"date-time":"2012-09-07T00:00:00Z","timestamp":1346976000000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quart. Appl. Math."],"abstract":"<p>We describe a nonlocal linear partial differential equation arising in the analysis of dynamics of a nematic liquid crystal. We confirm that it accounts for the kickback phenomenon by decoupling the director dynamics from the flow. We also analyse some of the mathematical properties of the decoupled director equation.<\/p>","DOI":"10.1090\/s0033-569x-2011-01265-5","type":"journal-article","created":{"date-parts":[[2011,9,7]],"date-time":"2011-09-07T09:45:32Z","timestamp":1315388732000},"page":"99-110","source":"Crossref","is-referenced-by-count":2,"title":["Kickback in nematic liquid crystals"],"prefix":"10.1090","volume":"70","author":[{"given":"F.","family":"da Costa","sequence":"first","affiliation":[]},{"given":"M.","family":"Grinfeld","sequence":"additional","affiliation":[]},{"given":"M.","family":"Langer","sequence":"additional","affiliation":[]},{"given":"N.","family":"Mottram","sequence":"additional","affiliation":[]},{"given":"J.","family":"Pinto","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2011,9,7]]},"reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"D. W. Berreman, Liquid-crystal twist cell dynamics with backflow, J. Appl. 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Mottram, Nematic viscosity estimation using director kickback dynamics, to appear in Liquid Crystals (2011).","DOI":"10.1080\/02678292.2011.588969"},{"key":"9","series-title":"Mathematical Surveys and Monographs","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/025","volume-title":"Asymptotic behavior of dissipative systems","volume":"25","author":"Hale, Jack K.","year":"1988","ISBN":"https:\/\/id.crossref.org\/isbn\/082181527X"},{"key":"10","series-title":"Lecture Notes in Mathematics","isbn-type":"print","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0089647","volume-title":"Geometric theory of semilinear parabolic equations","volume":"840","author":"Henry, Daniel","year":"1981","ISBN":"https:\/\/id.crossref.org\/isbn\/3540105573"},{"key":"11","series-title":"Texts in Applied Mathematics","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5347-1","volume-title":"Introduction to perturbation methods","volume":"20","author":"Holmes, Mark H.","year":"1995","ISBN":"https:\/\/id.crossref.org\/isbn\/0387942033"},{"key":"12","doi-asserted-by":"crossref","unstructured":"J. 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