{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:23:14Z","timestamp":1760239394969,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2020,11,16]],"date-time":"2020-11-16T00:00:00Z","timestamp":1605484800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/MAT\/00297\/2019"],"award-info":[{"award-number":["UID\/MAT\/00297\/2019"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Water"],"abstract":"<jats:p>This article studies the stochastic evolution of incompressible non-Newtonian fluids of differential type. More precisely, we consider the equations governing the dynamic of a third grade fluid filling a three-dimensional bounded domain O, perturbed by a multiplicative white noise. Taking the initial condition in the Sobolev space H2(O), and supplementing the equations with a Navier slip boundary condition, we establish the existence of a global weak stochastic solution with sample paths in L\u221e(0,T;H2(O)).<\/jats:p>","DOI":"10.3390\/w12113211","type":"journal-article","created":{"date-parts":[[2020,11,16]],"date-time":"2020-11-16T22:48:47Z","timestamp":1605566927000},"page":"3211","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Weak Solution for 3D-Stochastic Third Grade Fluid Equations"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6410-252X","authenticated-orcid":false,"given":"Adilson","family":"Almeida","sequence":"first","affiliation":[{"name":"Faculdade de Ci\u00eancias e Tecnologia da Universidade Nova de Lisboa and Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es, Largo da Torre, 2825149 Caparica, Portugal"}]},{"given":"Fernanda","family":"Cipriano","sequence":"additional","affiliation":[{"name":"Faculdade de Ci\u00eancias e Tecnologia da Universidade Nova de Lisboa and Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es, Largo da Torre, 2825149 Caparica, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,16]]},"reference":[{"key":"ref_1","first-page":"351","article-title":"Thermodynamics and stability of fuids of third grade","volume":"339","author":"Fosdick","year":"1980","journal-title":"Proc. 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