{"id":"https://openalex.org/W1997895001","doi":"https://doi.org/10.1016/s0378-4754(02)00085-x","title":"Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities","display_name":"Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1997895001","doi":"https://doi.org/10.1016/s0378-4754(02)00085-x","mag":"1997895001"},"language":"en","primary_location":{"id":"doi:10.1016/s0378-4754(02)00085-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(02)00085-x","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032518890","display_name":"J. Hron","orcid":"https://orcid.org/0000-0001-5862-2353"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Hron","raw_affiliation_strings":["Institute for Applied Mathematics and Numerics, University of Dortmund, Vogelpothsweg 87, 44227 Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Applied Mathematics and Numerics, University of Dortmund, Vogelpothsweg 87, 44227 Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036392548","display_name":"Josef M\u00e1lek","orcid":"https://orcid.org/0000-0001-6920-0842"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"J. M\u00e1lek","raw_affiliation_strings":["Mathematical Institute of Charles University, Sokolovsk\u00e1 83, 18675 Prague 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute of Charles University, Sokolovsk\u00e1 83, 18675 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112758018","display_name":"J. Ne\u010das","orcid":null},"institutions":[{"id":"https://openalex.org/I102502594","display_name":"Northern Illinois University","ror":"https://ror.org/012wxa772","country_code":"US","type":"education","lineage":["https://openalex.org/I102502594"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ","US"],"is_corresponding":false,"raw_author_name":"J. Ne\u010das","raw_affiliation_strings":["Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA","Mathematical Institute of Charles University, Sokolovsk\u00e1 83, 18675 Prague 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA","institution_ids":["https://openalex.org/I102502594"]},{"raw_affiliation_string":"Mathematical Institute of Charles University, Sokolovsk\u00e1 83, 18675 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057508652","display_name":"\u039a. R. Rajagopal","orcid":"https://orcid.org/0000-0002-4636-5131"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K.R. Rajagopal","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5036392548"],"corresponding_institution_ids":["https://openalex.org/I21250087"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":null,"fwci":4.8192,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.95546016,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"61","issue":"3-6","first_page":"297","last_page":"315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9817000031471252,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9736999869346619,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7181243896484375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.538740336894989},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5336946249008179},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.5130645036697388},{"id":"https://openalex.org/keywords/shear-flow","display_name":"Shear flow","score":0.5015914440155029},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.48288536071777344},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4732537865638733},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.46907278895378113},{"id":"https://openalex.org/keywords/shear","display_name":"Shear (geology)","score":0.426543653011322},{"id":"https://openalex.org/keywords/shear-rate","display_name":"Shear rate","score":0.41413113474845886},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.4129577875137329},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3855820596218109},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36460080742836},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.348561555147171},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31429487466812134},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1823020577430725},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.17613539099693298}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7181243896484375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.538740336894989},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5336946249008179},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5130645036697388},{"id":"https://openalex.org/C135768490","wikidata":"https://www.wikidata.org/wiki/Q2250602","display_name":"Shear flow","level":2,"score":0.5015914440155029},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.48288536071777344},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4732537865638733},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46907278895378113},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.426543653011322},{"id":"https://openalex.org/C165682214","wikidata":"https://www.wikidata.org/wiki/Q461293","display_name":"Shear rate","level":3,"score":0.41413113474845886},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.4129577875137329},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3855820596218109},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36460080742836},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.348561555147171},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31429487466812134},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1823020577430725},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.17613539099693298},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0378-4754(02)00085-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(02)00085-x","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:matcom:v:61:y:2003:i:3:p:297-315","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S037847540200085X","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W154596603","https://openalex.org/W1499759633","https://openalex.org/W1509602638","https://openalex.org/W1556837715","https://openalex.org/W1660749364","https://openalex.org/W1966602259","https://openalex.org/W1994841771","https://openalex.org/W1995205495","https://openalex.org/W1995539378","https://openalex.org/W2036128384","https://openalex.org/W2042513084","https://openalex.org/W2049032976","https://openalex.org/W2093992305","https://openalex.org/W2118960568","https://openalex.org/W2135888522","https://openalex.org/W4229588332","https://openalex.org/W4384342419","https://openalex.org/W6606230552"],"related_works":["https://openalex.org/W2075566213","https://openalex.org/W1999467026","https://openalex.org/W1977959851","https://openalex.org/W2027536830","https://openalex.org/W2083163178","https://openalex.org/W2101482739","https://openalex.org/W1995317867","https://openalex.org/W104954945","https://openalex.org/W2040897512","https://openalex.org/W2399247864"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}