{"id":"https://openalex.org/W2888543375","doi":"https://doi.org/10.3390/sym11040552","title":"The Backward in Time Problem of Double Porosity Material with Microtemperature","display_name":"The Backward in Time Problem of Double Porosity Material with Microtemperature","publication_year":2019,"publication_date":"2019-04-17","ids":{"openalex":"https://openalex.org/W2888543375","doi":"https://doi.org/10.3390/sym11040552","mag":"2888543375"},"language":"en","primary_location":{"id":"doi:10.3390/sym11040552","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11040552","pdf_url":"https://www.mdpi.com/2073-8994/11/4/552/pdf?version=1555497142","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/4/552/pdf?version=1555497142","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087264587","display_name":"Olivia Florea","orcid":"https://orcid.org/0000-0003-1888-592X"},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Olivia A. Florea","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Transilvania University of Bra\u015fov, Bra\u015fov 500091, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Transilvania University of Bra\u015fov, Bra\u015fov 500091, Romania","institution_ids":["https://openalex.org/I3123573182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087264587"],"corresponding_institution_ids":["https://openalex.org/I3123573182"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3643,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.53753243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"4","first_page":"552","last_page":"552"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11558","display_name":"Composite Material Mechanics","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/uniqueness","display_name":"Uniqueness","score":0.8663544058799744},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.6485961079597473},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6478303670883179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6432666778564453},{"id":"https://openalex.org/keywords/thermoelastic-damping","display_name":"Thermoelastic damping","score":0.6381832361221313},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.6247779130935669},{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.5186766386032104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4782101809978485},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32471245527267456},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1955498456954956},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.16920417547225952},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13763466477394104},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.10257154703140259},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.08774921298027039}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8663544058799744},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.6485961079597473},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6478303670883179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6432666778564453},{"id":"https://openalex.org/C92458943","wikidata":"https://www.wikidata.org/wiki/Q7783171","display_name":"Thermoelastic damping","level":3,"score":0.6381832361221313},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.6247779130935669},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.5186766386032104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4782101809978485},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32471245527267456},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1955498456954956},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.16920417547225952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13763466477394104},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.10257154703140259},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.08774921298027039},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym11040552","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11040552","pdf_url":"https://www.mdpi.com/2073-8994/11/4/552/pdf?version=1555497142","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:de5a38a81411412d84dfca256f84a927","is_oa":true,"landing_page_url":"https://doaj.org/article/de5a38a81411412d84dfca256f84a927","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 4, p 552 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11040552","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11040552","pdf_url":"https://www.mdpi.com/2073-8994/11/4/552/pdf?version=1555497142","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2888543375.pdf","grobid_xml":"https://content.openalex.org/works/W2888543375.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W112219953","https://openalex.org/W114438074","https://openalex.org/W877323029","https://openalex.org/W1967848324","https://openalex.org/W1971945001","https://openalex.org/W1985693089","https://openalex.org/W1998711058","https://openalex.org/W2001478190","https://openalex.org/W2013982023","https://openalex.org/W2017048267","https://openalex.org/W2033780535","https://openalex.org/W2048880726","https://openalex.org/W2051193255","https://openalex.org/W2065801269","https://openalex.org/W2072399636","https://openalex.org/W2075475649","https://openalex.org/W2084500792","https://openalex.org/W2101946523","https://openalex.org/W2296383565","https://openalex.org/W2616942807","https://openalex.org/W2766772487","https://openalex.org/W2791324017","https://openalex.org/W2911669137","https://openalex.org/W2925660276","https://openalex.org/W4211160782","https://openalex.org/W6623899663","https://openalex.org/W6668646739","https://openalex.org/W6671545220"],"related_works":["https://openalex.org/W2001550513","https://openalex.org/W2090764544","https://openalex.org/W3208881875","https://openalex.org/W2128585177","https://openalex.org/W2944231641","https://openalex.org/W2059631326","https://openalex.org/W4388101082","https://openalex.org/W2325690970","https://openalex.org/W2021751570","https://openalex.org/W1988195128"],"abstract_inverted_index":{"In":[0,44,81],"the":[1,4,11,28,45,49,54,57,71,76,82,86,92],"present":[2],"study,":[3],"theory":[5],"of":[6,13,23,30,48,53,59,62,73,85,94],"thermoelastodynamics":[7],"is":[8,64,68,97],"considered":[9],"in":[10,27,33,51,78,91],"case":[12,52,93],"materials":[14,41],"with":[15,37,42],"double":[16,38],"porosity":[17],"structure":[18],"and":[19],"microtemperature.":[20,43],"The":[21],"novelty":[22],"this":[24],"study":[25,67],"consists":[26],"investigation":[29],"a":[31,88],"backward":[32,77],"time":[34,60,79],"problem":[35],"associated":[36],"porous":[39],"thermoelastic":[40],"first":[46],"part":[47,84],"paper,":[50,87],"bounded":[55],"domains":[56],"impossibility":[58],"localization":[61],"solutions":[63,74],"obtained.":[65,98],"This":[66],"equivalent":[69],"to":[70],"uniqueness":[72],"for":[75],"problem.":[80],"second":[83],"Phragmen-Lindelof":[89],"alternative":[90],"semi-infinite":[95],"cylinders":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}
