{"id":"https://openalex.org/W2964285602","doi":"https://doi.org/10.1137/16m1056365","title":"Solvability of an Unsaturated Porous Media Flow Problem with Thermomechanical Interaction","display_name":"Solvability of an Unsaturated Porous Media Flow Problem with Thermomechanical Interaction","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2964285602","doi":"https://doi.org/10.1137/16m1056365","mag":"2964285602"},"language":"en","primary_location":{"id":"doi:10.1137/16m1056365","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056365","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/A5020161927","display_name":"Bettina Detmann","orcid":"https://orcid.org/0000-0003-4460-9152"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bettina Detmann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066498638","display_name":"Pavel Krej\u010d\u0131\u0301","orcid":"https://orcid.org/0000-0002-7579-6002"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pavel Krej\u010d\u00ed","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017446516","display_name":"Elisabetta Rocca","orcid":"https://orcid.org/0000-0002-9930-907X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elisabetta Rocca","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0536,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81909625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"48","issue":"6","first_page":"4175","last_page":"4201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9979000091552734,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9970999956130981,"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/porous-medium","display_name":"Porous medium","score":0.7397947311401367},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.6873558163642883},{"id":"https://openalex.org/keywords/capillary-action","display_name":"Capillary action","score":0.5869162082672119},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5863262414932251},{"id":"https://openalex.org/keywords/energy-balance","display_name":"Energy balance","score":0.5695646405220032},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.5520201921463013},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5482348799705505},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5322304368019104},{"id":"https://openalex.org/keywords/constitutive-equation","display_name":"Constitutive equation","score":0.4821193218231201},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4791963994503021},{"id":"https://openalex.org/keywords/capillary-pressure","display_name":"Capillary pressure","score":0.47886988520622253},{"id":"https://openalex.org/keywords/balance","display_name":"Balance (ability)","score":0.47421765327453613},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.45764583349227905},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4169635772705078},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.3692724406719208},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.25611528754234314},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22269946336746216},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17682591080665588},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.17135149240493774},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09782534837722778},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.08616575598716736}],"concepts":[{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.7397947311401367},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.6873558163642883},{"id":"https://openalex.org/C196806460","wikidata":"https://www.wikidata.org/wiki/Q188603","display_name":"Capillary action","level":2,"score":0.5869162082672119},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5863262414932251},{"id":"https://openalex.org/C2777423268","wikidata":"https://www.wikidata.org/wiki/Q3663116","display_name":"Energy balance","level":2,"score":0.5695646405220032},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.5520201921463013},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5482348799705505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5322304368019104},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.4821193218231201},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4791963994503021},{"id":"https://openalex.org/C48797263","wikidata":"https://www.wikidata.org/wiki/Q4212891","display_name":"Capillary pressure","level":4,"score":0.47886988520622253},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.47421765327453613},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.45764583349227905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4169635772705078},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3692724406719208},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.25611528754234314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22269946336746216},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17682591080665588},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.17135149240493774},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09782534837722778},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.08616575598716736},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C99508421","wikidata":"https://www.wikidata.org/wiki/Q2678675","display_name":"Physical medicine and rehabilitation","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":2,"locations":[{"id":"doi:10.1137/16m1056365","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056365","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"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0467681","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0265733","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8799999952316284,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G7908405039","display_name":null,"funder_award_id":"256872","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2023810270","https://openalex.org/W2075315063","https://openalex.org/W2091010877","https://openalex.org/W2147753909","https://openalex.org/W2168684097","https://openalex.org/W2233181090","https://openalex.org/W2335181675","https://openalex.org/W2599168095"],"related_works":["https://openalex.org/W1503749078","https://openalex.org/W2299255690","https://openalex.org/W4236522505","https://openalex.org/W1980410312","https://openalex.org/W2556781214","https://openalex.org/W4244384598","https://openalex.org/W2006653080","https://openalex.org/W2357020385","https://openalex.org/W2897274100","https://openalex.org/W2047851869"],"abstract_inverted_index":{"A":[0],"PDE":[1],"system":[2],"consisting":[3],"of":[4],"the":[5,42],"momentum":[6],"balance,":[7,9],"mass":[8],"and":[10,18,54],"energy":[11],"balance":[12],"equations":[13],"for":[14,23,52],"displacement,":[15],"capillary":[16,55],"pressure,":[17],"temperature":[19],"as":[20],"a":[21,28,36],"model":[22],"unsaturated":[24],"fluid":[25],"flow":[26],"in":[27],"porous":[29],"viscoelastoplastic":[30],"solid":[31],"is":[32],"shown":[33],"to":[34],"admit":[35],"solution":[37],"under":[38],"appropriate":[39],"assumptions":[40],"on":[41],"constitutive":[43],"behavior.":[44],"The":[45],"problem":[46],"involves":[47],"two":[48],"hysteresis":[49],"operators":[50],"accounting":[51],"plastic":[53],"hysteresis.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}