{"id":"https://openalex.org/W2129714622","doi":"https://doi.org/10.1155/s0161171204308136","title":"The fluid profile during spin\u2010coating over a small sinusoidal topography","display_name":"The fluid profile during spin\u2010coating over a small sinusoidal topography","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2129714622","doi":"https://doi.org/10.1155/s0161171204308136","mag":"2129714622"},"language":"en","primary_location":{"id":"doi:10.1155/s0161171204308136","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204308136","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/494359.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2004/494359.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103874522","display_name":"M A Hayes","orcid":"https://orcid.org/0000-0002-9886-0791"},"institutions":[{"id":"https://openalex.org/I181231927","display_name":"National University of Ireland","ror":"https://ror.org/00shsf120","country_code":"IE","type":"education","lineage":["https://openalex.org/I181231927"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"M. A. Hayes","raw_affiliation_strings":["Department of Mathematics, National University of Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Ireland","institution_ids":["https://openalex.org/I181231927"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073583162","display_name":"S. O\u2019Brien","orcid":"https://orcid.org/0000-0002-9296-2981"},"institutions":[{"id":"https://openalex.org/I230495080","display_name":"University of Limerick","ror":"https://ror.org/00a0n9e72","country_code":"IE","type":"education","lineage":["https://openalex.org/I230495080"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"S. B. G. O\u2032Brien","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Limerick"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Limerick","institution_ids":["https://openalex.org/I230495080"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103874522"],"corresponding_institution_ids":["https://openalex.org/I181231927"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17600361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2004","issue":"43","first_page":"2279","last_page":"2298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sketch","display_name":"Sketch","score":0.7608186602592468},{"id":"https://openalex.org/keywords/coating","display_name":"Coating","score":0.7279099225997925},{"id":"https://openalex.org/keywords/spin-coating","display_name":"Spin coating","score":0.5797905325889587},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.5791219472885132},{"id":"https://openalex.org/keywords/substrate","display_name":"Substrate (aquarium)","score":0.5642865300178528},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5448134541511536},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.513820230960846},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4545750319957733},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4089095890522003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39277416467666626},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35233932733535767},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.2675172984600067},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2121793031692505},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1603412926197052},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12792089581489563},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.11168161034584045},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08666479587554932}],"concepts":[{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.7608186602592468},{"id":"https://openalex.org/C2781448156","wikidata":"https://www.wikidata.org/wiki/Q1570182","display_name":"Coating","level":2,"score":0.7279099225997925},{"id":"https://openalex.org/C115196108","wikidata":"https://www.wikidata.org/wiki/Q1305254","display_name":"Spin coating","level":3,"score":0.5797905325889587},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.5791219472885132},{"id":"https://openalex.org/C2777289219","wikidata":"https://www.wikidata.org/wiki/Q7632154","display_name":"Substrate (aquarium)","level":2,"score":0.5642865300178528},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5448134541511536},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.513820230960846},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4545750319957733},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4089095890522003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39277416467666626},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35233932733535767},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.2675172984600067},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2121793031692505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1603412926197052},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12792089581489563},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.11168161034584045},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08666479587554932},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/s0161171204308136","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204308136","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/494359.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:494359","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2004/494359.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:c7ab03982ad444bda132b5b378d77b8f","is_oa":true,"landing_page_url":"https://doaj.org/article/c7ab03982ad444bda132b5b378d77b8f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 43, Pp 2279-2298 (2004)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/S0161171204308136","is_oa":false,"landing_page_url":"https://doi.org/10.1155/S0161171204308136","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1155/s0161171204308136","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204308136","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/494359.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2129714622.pdf","grobid_xml":"https://content.openalex.org/works/W2129714622.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1983715981","https://openalex.org/W1989041706","https://openalex.org/W2003684431","https://openalex.org/W2015558070","https://openalex.org/W2017596211","https://openalex.org/W2025064062","https://openalex.org/W2032325097","https://openalex.org/W2033943540","https://openalex.org/W2036175311","https://openalex.org/W2036377074","https://openalex.org/W2042067892","https://openalex.org/W2042797266","https://openalex.org/W2052784402","https://openalex.org/W2055930054","https://openalex.org/W2080251323","https://openalex.org/W2081540286","https://openalex.org/W2090955920","https://openalex.org/W2103099531","https://openalex.org/W2110577208","https://openalex.org/W4236566899","https://openalex.org/W4240337996","https://openalex.org/W4256357261","https://openalex.org/W4296760027","https://openalex.org/W4388322016","https://openalex.org/W6601442382","https://openalex.org/W6638464990"],"related_works":["https://openalex.org/W2378994405","https://openalex.org/W2385974820","https://openalex.org/W2373478030","https://openalex.org/W2378679551","https://openalex.org/W3149739944","https://openalex.org/W2392363776","https://openalex.org/W2063051341","https://openalex.org/W2591066345","https://openalex.org/W1494563618","https://openalex.org/W2103632443"],"abstract_inverted_index":{"We":[0,65],"consider":[1],"spin\u2010coating":[2],"over":[3],"a":[4,16,22,26,29,67],"small":[5,33],"sinusoidal":[6],"topography":[7],"modelling":[8],"the":[9,13,37,40,48,62,77],"physical":[10],"problem":[11],"of":[12,15,32],"coating":[14,51],"television":[17],"screen.":[18],"This":[19],"involves":[20],"depositing":[21],"phosphor":[23],"layer":[24],"on":[25],"substrate":[27],"with":[28],"precoating":[30],"consisting":[31],"parallel":[34],"striations.":[35],"Despite":[36],"fact":[38],"that":[39,47],"basic":[41],"flow":[42],"is":[43],"radial,":[44],"we":[45],"show":[46],"final":[49],"liquid":[50],"does":[52],"not":[53],"have":[54],"radial":[55],"variation;":[56],"rather,":[57],"it":[58],"varies":[59],"according":[60],"to":[61],"underlying":[63],"topography.":[64],"use":[66],"thin":[68],"film":[69],"model":[70],"resulting":[71],"in":[72,88],"an":[73],"evolution":[74],"equation":[75],"for":[76,84],"fluid":[78],"thickness":[79],"and":[80],"sketch":[81],"several":[82],"techniques":[83],"obtaining":[85],"approximate":[86],"solutions":[87],"appropriate":[89],"limiting":[90],"situations.":[91]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}