{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T21:09:18Z","timestamp":1758402558782},"reference-count":30,"publisher":"Vilnius Gediminas Technical University","issue":"6","content-domain":{"domain":["journals.vgtu.lt"],"crossmark-restriction":true},"short-container-title":[],"abstract":"<jats:p>The article concerns with a model discribing the growth of a biofilm made by chemotactical bacteria within a saturated porous media and affects the flow through the pores. The underlying model describing this process on the macroscale is derived in [21]. Therein also solvability in a weak sense and boundedness of solutions with high regularity is investigated. This current paper verifies the existence of bounded weak solutions in case of less regularity assumptions on the data.<\/jats:p>","DOI":"10.3846\/13926292.2017.1389772","type":"journal-article","created":{"date-parts":[[2017,11,27]],"date-time":"2017-11-27T09:32:30Z","timestamp":1511775150000},"page":"852-869","update-policy":"http:\/\/dx.doi.org\/10.3846\/mma_policy","source":"Crossref","is-referenced-by-count":3,"title":["BOUNDEDNESS IN A BIOFILM-CHEMOTAXIS MODEL IN EVOLVING POROUS MEDIA"],"prefix":"10.3846","volume":"22","author":[{"given":"Raphael","family":"Schulz","sequence":"first","affiliation":[{"name":"Friedrich-Alexander Universit\u00a8at Erlangen-Nurnberg"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2209","published-online":{"date-parts":[[2017,11,27]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2013.33.2271"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2010.28.1437"},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.1080\/03605302.2010.497199"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1093\/imrn\/rns270"},{"key":"CIT0005","doi-asserted-by":"crossref","first-page":"937","DOI":"10.57262\/ade\/1355703182","volume":"16","author":"Efendiev M. A.","year":"2011","journal-title":"Adv. Differential Equations"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1016\/j.advwatres.2006.05.019"},{"key":"CIT0008","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61798-0"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.10.022"},{"key":"CIT0010","doi-asserted-by":"publisher","DOI":"10.1016\/j.colsurfa.2005.02.033"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2008.01.005"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2011.04.005"},{"key":"CIT0013","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202510004507"},{"key":"CIT0015","first-page":"101","volume":"15","author":"Nagai T.","year":"2009","journal-title":"RIMS K\u00f4ky\u00fbroku Bessatsu"},{"issue":"3","key":"CIT0016","first-page":"733","volume":"20","author":"Nirenberg L.","year":"1966","journal-title":"Ann. Scuola Norm. Sup. Pisa"},{"key":"CIT0017","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5561-1"},{"key":"CIT0018","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-85268-1","volume-title":"Numerical Approximation of Partial Differential Equations","author":"Quarteroni A. M.","year":"1994"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1007\/s11242-012-0068-z"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1137\/16M108817X"},{"key":"CIT0022","first-page":"1","author":"Schulz R.","year":"2016","journal-title":"Eur. J. Appl. Math."},{"key":"CIT0023","doi-asserted-by":"publisher","DOI":"10.1128\/JB.185.5.1485-1491.2003"},{"key":"CIT0024","doi-asserted-by":"publisher","DOI":"10.1619\/fesi.49.39"},{"key":"CIT0025","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2012.32.1901"},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2012.07.002"},{"key":"CIT0027","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-008-9322-5"},{"key":"CIT0028","doi-asserted-by":"publisher","DOI":"10.1137\/080722096"},{"key":"CIT0029","doi-asserted-by":"publisher","DOI":"10.1002\/mma.319"},{"key":"CIT0030","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2013.01.020"},{"key":"CIT0031","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-015-0922-2"},{"key":"CIT0032","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2015.05.002"},{"key":"CIT0033","doi-asserted-by":"publisher","DOI":"10.1002\/bit.10075"}],"container-title":["Mathematical Modelling and Analysis"],"original-title":[],"link":[{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/930\/711","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,29]],"date-time":"2023-08-29T07:01:56Z","timestamp":1693292516000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/930"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11,27]]},"references-count":30,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2017,11,27]]}},"URL":"https:\/\/doi.org\/10.3846\/13926292.2017.1389772","relation":{},"ISSN":["1392-6292","1648-3510"],"issn-type":[{"value":"1392-6292","type":"print"},{"value":"1648-3510","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,11,27]]},"assertion":[{"value":"Vilnius Gediminas Technical University","name":"this_article_is_maintained_by","label":"This article is maintained by"},{"value":"Research Article","name":"content_type","label":"Content Type"},{"value":"Yes","name":"crosschecked","label":"CrossChecked"},{"value":"Yes","order":0,"name":"peer_reviewed","label":"Peer Reviewed","group":{"name":"peer_review","label":"Peer Review"}},{"value":"Double blind","order":1,"name":"review_process","label":"Review Process","group":{"name":"peer_review","label":"Peer Review"}},{"value":"2016-11-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-10-04","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-11-27","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}},{"value":"@ 2017 Vilnius Gediminas Technical University Press","order":0,"name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}