{"id":"https://openalex.org/W4387373901","doi":"https://doi.org/10.1137/22m1505335","title":"Semilinear Degenerate Biot\u2013Signorini System","display_name":"Semilinear Degenerate Biot\u2013Signorini System","publication_year":2023,"publication_date":"2023-10-05","ids":{"openalex":"https://openalex.org/W4387373901","doi":"https://doi.org/10.1137/22m1505335"},"language":"en","primary_location":{"id":"doi:10.1137/22m1505335","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1505335","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5013518660","display_name":"Alireza Hosseinkhan","orcid":"https://orcid.org/0000-0001-5395-7779"},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alireza Hosseinkhan","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, Macalester College, Saint Paul, MN 55105 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, Macalester College, Saint Paul, MN 55105 USA","institution_ids":["https://openalex.org/I5444425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025226592","display_name":"R. E. Showalter","orcid":"https://orcid.org/0000-0001-5479-4633"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ralph E. Showalter","raw_affiliation_strings":["Department of Mathematics, Oregon State University, Corvallis, OR 97331 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Oregon State University, Corvallis, OR 97331 USA","institution_ids":["https://openalex.org/I131249849"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013518660"],"corresponding_institution_ids":["https://openalex.org/I5444425"],"apc_list":null,"apc_paid":null,"fwci":0.7932,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76644639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"55","issue":"5","first_page":"5643","last_page":"5665"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8546335697174072},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.658033013343811},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6539222002029419},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5203934907913208},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5072352886199951},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.47721391916275024},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4594041407108307},{"id":"https://openalex.org/keywords/biot-number","display_name":"Biot number","score":0.4271652102470398},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14441519975662231}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8546335697174072},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.658033013343811},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6539222002029419},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5203934907913208},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5072352886199951},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.47721391916275024},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4594041407108307},{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.4271652102470398},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14441519975662231},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1505335","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1505335","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W236289633","https://openalex.org/W588153840","https://openalex.org/W1148406951","https://openalex.org/W1490112587","https://openalex.org/W1544442897","https://openalex.org/W1829299989","https://openalex.org/W1914970888","https://openalex.org/W1966470548","https://openalex.org/W1977727715","https://openalex.org/W2000474073","https://openalex.org/W2005566554","https://openalex.org/W2011975592","https://openalex.org/W2013317749","https://openalex.org/W2014118404","https://openalex.org/W2014562635","https://openalex.org/W2020914482","https://openalex.org/W2023549363","https://openalex.org/W2024062893","https://openalex.org/W2027232830","https://openalex.org/W2042739011","https://openalex.org/W2054946919","https://openalex.org/W2058008892","https://openalex.org/W2060471433","https://openalex.org/W2063628604","https://openalex.org/W2070798173","https://openalex.org/W2075954740","https://openalex.org/W2081058057","https://openalex.org/W2085936974","https://openalex.org/W2131684723","https://openalex.org/W2167897175","https://openalex.org/W2168448281","https://openalex.org/W2168684097","https://openalex.org/W2345394035","https://openalex.org/W2472843403","https://openalex.org/W2523884417","https://openalex.org/W2565144175","https://openalex.org/W2734991210","https://openalex.org/W2743641825","https://openalex.org/W2763926449","https://openalex.org/W2914062628","https://openalex.org/W2970788955","https://openalex.org/W3052981978","https://openalex.org/W3110652683","https://openalex.org/W3167155457","https://openalex.org/W3201893983","https://openalex.org/W3216162597","https://openalex.org/W4220737458","https://openalex.org/W4230924274","https://openalex.org/W4232581846","https://openalex.org/W4234028290","https://openalex.org/W4236369371","https://openalex.org/W4245735018","https://openalex.org/W4288345646","https://openalex.org/W4292311687"],"related_works":["https://openalex.org/W2350014060","https://openalex.org/W2153298740","https://openalex.org/W4323064972","https://openalex.org/W2314722823","https://openalex.org/W2012550599","https://openalex.org/W1537558955","https://openalex.org/W2085771669","https://openalex.org/W1899716740","https://openalex.org/W2383497899","https://openalex.org/W2010477575"],"abstract_inverted_index":{".Nonlinear":[0],"extensions":[1],"of":[2,7,17,42,61,90,98,144,157],"the":[3,40,43,46,68,79,87,132,145,149,152,155,163,176],"quasi-static":[4],"Biot":[5,184],"model":[6],"consolidation":[8],"are":[9],"studied":[10],"with":[11,35,78,142,170],"emphasis":[12],"on":[13,92,148,175],"boundary":[14,59,93],"conditions,":[15],"attainment":[16],"initial":[18],"values,":[19],"and":[20,30,39,86,135],"parabolic":[21,172],"regularizing":[22,173,193],"effects.":[23],"The":[24,106],"local":[25],"fluid":[26,81],"content":[27],"is":[28,51,113,129,137,154,166],"monotone":[29,53,88],"possibly":[31],"nonlinear":[32,130,183],"or":[33,65,74],"degenerate":[34,75],"respect":[36],"to":[37,58,139],"pressure,":[38,85],"stress":[41,153],"solid":[44],"in":[45,54,119,131,179],"fully":[47],"saturated":[48],"porous":[49,181],"medium":[50,69],"strictly":[52],"strain.":[55],"In":[56],"addition":[57],"conditions":[60],"classical":[62],"Dirichlet,":[63],"Neumann,":[64],"Robin":[66],"type,":[67],"may":[70],"have":[71],"a":[72,83,103,116,123,158,167],"singular":[73],"semipermeable":[76],"interface":[77],"exterior":[80],"at":[82],"known":[84],"dependence":[89],"traction":[91],"displacement":[94,187],"includes":[95],"unilateral":[96],"constraints":[97],"Signorini":[99],"type":[100],"given":[101],"by":[102],"variational":[104],"inequality.":[105],"initial-boundary-value":[107],"problem":[108,118],"for":[109,122],"this":[110],"general":[111],"system":[112],"formulated":[114],"as":[115],"Cauchy":[117],"Hilbert":[120],"space":[121],"semilinear":[124],"implicit":[125],"evolution":[126,164,190],"equation":[127,165],"that":[128],"time":[133],"derivative,":[134],"it":[136],"shown":[138],"be":[140],"well-posed":[141],"regularity":[143],"solution":[146],"dependent":[147],"data.":[150],"When":[151],"derivative":[156],"convex":[159],"strain":[160],"energy":[161],"function,":[162],"gradient":[168],"flow":[169,178],"corresponding":[171],"effects":[174],"solution.Keywordsfluid":[177],"deformable":[180],"mediaquasistatic":[182],"systemcontact":[185],"mechanicsunilateral":[186],"constraintporo-hyperelasticitydegenerate":[188],"compressibilityimplicit":[189],"equationgradient":[191],"flowparabolic":[192],"effectsbackward-difference":[194],"approximationsMSC":[195],"codes35M8774F1076M3076S0535A0135B6535Q8635Q92":[196]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}