{"id":"https://openalex.org/W1977014593","doi":"https://doi.org/10.1137/070695125","title":"Mathematics and Monument Conservation: Free Boundary Models of Marble Sulfation","display_name":"Mathematics and Monument Conservation: Free Boundary Models of Marble Sulfation","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1977014593","doi":"https://doi.org/10.1137/070695125","mag":"1977014593"},"language":"en","primary_location":{"id":"doi:10.1137/070695125","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070695125","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063090589","display_name":"Fabrizio Clarelli","orcid":"https://orcid.org/0000-0002-3738-3469"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fabrizio Clarelli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076117620","display_name":"Antonio Fasano","orcid":"https://orcid.org/0000-0003-4116-5496"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Antonio Fasano","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028629975","display_name":"Roberto Natalini","orcid":"https://orcid.org/0000-0002-5453-6383"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roberto Natalini","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063090589"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4375,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.82618848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"69","issue":"1","first_page":"149","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T12383","display_name":"Aeolian processes and effects","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11302","display_name":"CO2 Sequestration and Geologic Interactions","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gypsum","display_name":"Gypsum","score":0.818531334400177},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6337500810623169},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.4954434633255005},{"id":"https://openalex.org/keywords/relative-humidity","display_name":"Relative humidity","score":0.4685051739215851},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44619566202163696},{"id":"https://openalex.org/keywords/calcium-carbonate","display_name":"Calcium carbonate","score":0.43609803915023804},{"id":"https://openalex.org/keywords/humidity","display_name":"Humidity","score":0.4141646921634674},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4136473834514618},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3838305175304413},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35461661219596863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3446728587150574},{"id":"https://openalex.org/keywords/mineralogy","display_name":"Mineralogy","score":0.3389522433280945},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3031635880470276},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.26212793588638306},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.26096734404563904},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17501547932624817}],"concepts":[{"id":"https://openalex.org/C2779229104","wikidata":"https://www.wikidata.org/wiki/Q82658","display_name":"Gypsum","level":2,"score":0.818531334400177},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6337500810623169},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.4954434633255005},{"id":"https://openalex.org/C158960510","wikidata":"https://www.wikidata.org/wiki/Q180600","display_name":"Relative humidity","level":2,"score":0.4685051739215851},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44619566202163696},{"id":"https://openalex.org/C2778039128","wikidata":"https://www.wikidata.org/wiki/Q23767","display_name":"Calcium carbonate","level":2,"score":0.43609803915023804},{"id":"https://openalex.org/C151420433","wikidata":"https://www.wikidata.org/wiki/Q180600","display_name":"Humidity","level":2,"score":0.4141646921634674},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4136473834514618},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3838305175304413},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35461661219596863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3446728587150574},{"id":"https://openalex.org/C199289684","wikidata":"https://www.wikidata.org/wiki/Q83353","display_name":"Mineralogy","level":1,"score":0.3389522433280945},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3031635880470276},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.26212793588638306},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.26096734404563904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17501547932624817},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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":1,"locations":[{"id":"doi:10.1137/070695125","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070695125","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1965828103","https://openalex.org/W1966762190","https://openalex.org/W2007941855","https://openalex.org/W2026567041","https://openalex.org/W2027099626","https://openalex.org/W2049170531","https://openalex.org/W2062310403","https://openalex.org/W2085978850","https://openalex.org/W4285719527","https://openalex.org/W4301355267"],"related_works":["https://openalex.org/W4385320902","https://openalex.org/W2014646776","https://openalex.org/W2135898428","https://openalex.org/W2610329631","https://openalex.org/W1986558432","https://openalex.org/W2043785995","https://openalex.org/W2283974572","https://openalex.org/W2051513460","https://openalex.org/W1975829375","https://openalex.org/W1606170869"],"abstract_inverted_index":{"We":[0],"introduce":[1],"some":[2],"free":[3],"boundary":[4],"problems":[5],"which":[6,76],"describe":[7,70],"the":[8,15,26,31,41,45,61,82,88,90,94],"evolution":[9],"of":[10,17,25,33,44,87,93,98],"calcium":[11],"carbonate":[12],"stones":[13],"under":[14,57],"attack":[16],"atmospheric":[18],"SO$_2$,":[19],"taking":[20],"into":[21],"account":[22],"both":[23],"swelling":[24],"external":[27],"gypsum":[28,71],"layer":[29],"and":[30,47,92,102],"influence":[32,86],"humidity.":[34],"Different":[35],"behaviors":[36],"are":[37,55,66],"described":[38],"according":[39],"to":[40,69],"relative":[42],"humidity":[43],"environment,":[46],"in":[48,96],"all":[49],"cases":[50],"reliable":[51],"explicit":[52],"quasi-steady":[53,83],"approximations":[54],"introduced":[56],"reasonable":[58],"assumptions":[59],"on":[60],"data.":[62],"Some":[63],"numerical":[64],"simulations":[65],"also":[67],"performed":[68],"formation":[72],"using":[73],"experimental":[74],"data,":[75],"show":[77],"a":[78],"good":[79],"agreement":[80],"with":[81],"solutions.":[84],"The":[85],"cleaning":[89],"crust":[91],"change":[95],"concentration":[97],"pollution":[99],"is":[100],"evaluated":[101],"discussed.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}