{"id":"https://openalex.org/W2014711188","doi":"https://doi.org/10.1137/070680941","title":"Incipient Dynamics of Swelling of Gels","display_name":"Incipient Dynamics of Swelling of Gels","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2014711188","doi":"https://doi.org/10.1137/070680941","mag":"2014711188"},"language":"en","primary_location":{"id":"doi:10.1137/070680941","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070680941","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://conservancy.umn.edu/bitstreams/bf1b9907-c717-4d8e-b76c-669f271e6550/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100438450","display_name":"Hang Zhang","orcid":"https://orcid.org/0000-0002-2768-492X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hang Zhang","raw_affiliation_strings":["University of Minnesota Twin Cities"],"affiliations":[{"raw_affiliation_string":"University of Minnesota Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077426865","display_name":"M. Carme Calderer","orcid":"https://orcid.org/0000-0002-9117-7439"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Carme Calderer","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100438450"],"corresponding_institution_ids":["https://openalex.org/I130238516","https://openalex.org/I4210101327"],"apc_list":null,"apc_paid":null,"fwci":0.5867,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.62203732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"68","issue":"6","first_page":"1641","last_page":"1664"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10343","display_name":"Hydrogels: synthesis, properties, applications","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1313","display_name":"Molecular Medicine"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10343","display_name":"Hydrogels: synthesis, properties, applications","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1313","display_name":"Molecular Medicine"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12192","display_name":"Polysaccharides Composition and Applications","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9848999977111816,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/swelling","display_name":"Swelling","score":0.8001281023025513},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.7053832411766052},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3734731674194336},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35298943519592285},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.33255720138549805},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.25388702750205994},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25115272402763367},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.07114577293395996}],"concepts":[{"id":"https://openalex.org/C2778540859","wikidata":"https://www.wikidata.org/wiki/Q152234","display_name":"Swelling","level":2,"score":0.8001281023025513},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.7053832411766052},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3734731674194336},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35298943519592285},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33255720138549805},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.25388702750205994},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25115272402763367},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.07114577293395996}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/070680941","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070680941","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:conservancy.umn.edu:11299/179783","is_oa":true,"landing_page_url":"http://hdl.handle.net/11299/179783","pdf_url":"https://conservancy.umn.edu/bitstreams/bf1b9907-c717-4d8e-b76c-669f271e6550/download","source":{"id":"https://openalex.org/S4306402521","display_name":"University of Minnesota Digital Conservancy (University of Minnesota)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130238516","host_organization_name":"University of Minnesota","host_organization_lineage":["https://openalex.org/I130238516"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Preprint"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.184.5689","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.184.5689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ima.umn.edu/preprints/feb2008/2188.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:conservancy.umn.edu:11299/179783","is_oa":true,"landing_page_url":"http://hdl.handle.net/11299/179783","pdf_url":"https://conservancy.umn.edu/bitstreams/bf1b9907-c717-4d8e-b76c-669f271e6550/download","source":{"id":"https://openalex.org/S4306402521","display_name":"University of Minnesota Digital Conservancy (University of Minnesota)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130238516","host_organization_name":"University of Minnesota","host_organization_lineage":["https://openalex.org/I130238516"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014711188.pdf","grobid_xml":"https://content.openalex.org/works/W2014711188.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W115170098","https://openalex.org/W427342652","https://openalex.org/W1482489062","https://openalex.org/W1490657362","https://openalex.org/W1505352099","https://openalex.org/W1508861003","https://openalex.org/W1976949227","https://openalex.org/W2003034707","https://openalex.org/W2004625142","https://openalex.org/W2005350821","https://openalex.org/W2016064602","https://openalex.org/W2017361451","https://openalex.org/W2032720610","https://openalex.org/W2045241769","https://openalex.org/W2045781645","https://openalex.org/W2046305392","https://openalex.org/W2053544741","https://openalex.org/W2063281882","https://openalex.org/W2066844601","https://openalex.org/W2082849992","https://openalex.org/W2110075806","https://openalex.org/W2121169925","https://openalex.org/W2123210164","https://openalex.org/W2154247221","https://openalex.org/W2157715842","https://openalex.org/W4250020798","https://openalex.org/W4253909040","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2371502604","https://openalex.org/W2073737281","https://openalex.org/W1973945339","https://openalex.org/W2030835807","https://openalex.org/W2013560831","https://openalex.org/W2001973908","https://openalex.org/W1966003326","https://openalex.org/W4388394681","https://openalex.org/W2003526108","https://openalex.org/W2004869813"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,91],"analyze":[4],"a":[5,26,78],"model":[6],"of":[7,11,22,28,45,80,100,109,116],"the":[8,38,42,46,59,64,67,71,88,98,101,106,110],"incipient":[9],"dynamics":[10],"gel":[12],"swelling":[13,102],"and":[14,32,48],"perform":[15],"numerical":[16],"simulations.":[17],"The":[18,53],"governing":[19],"system":[20,79],"consists":[21],"balance":[23],"laws":[24],"for":[25,37],"mixture":[27],"nonlinear":[29,83],"elastic":[30],"solid":[31],"solvent":[33],"yielding":[34],"effective":[35],"equations":[36],"gel.":[39],"We":[40,62,104],"discuss":[41],"multiscale":[43],"nature":[44],"problem":[47],"identify":[49],"physically":[50,93],"realistic":[51,94],"regimes.":[52],"mixing":[54],"mechanism":[55,69],"is":[56,70],"based":[57],"on":[58],"Flory\u2013Huggins":[60],"energy.":[61],"consider":[63],"case":[65],"that":[66],"dissipation":[68],"solid-solvent":[72],"friction":[73],"force.":[74],"This":[75],"leads":[76],"to":[77],"weakly":[81],"dissipative":[82],"hyperbolic":[84],"equations.":[85],"After":[86],"addressing":[87],"Cauchy":[89],"problem,":[90],"propose":[92],"boundary":[95,112],"conditions":[96],"describing":[97],"motion":[99],"boundary.":[103],"study":[105],"linearized":[107],"version":[108],"free":[111],"problem.":[113],"Numerical":[114],"simulations":[115],"solutions":[117],"are":[118],"presented":[119],"too.":[120]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}