{"id":"https://openalex.org/W2073614491","doi":"https://doi.org/10.1137/050632890","title":"On the Relationship between Supplemental Balances in Two Theories for Pure Interface Motion","display_name":"On the Relationship between Supplemental Balances in Two Theories for Pure Interface Motion","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2073614491","doi":"https://doi.org/10.1137/050632890","mag":"2073614491"},"language":"en","primary_location":{"id":"doi:10.1137/050632890","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050632890","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/A5014141242","display_name":"Eliot Fried","orcid":"https://orcid.org/0000-0001-5329-3394"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eliot Fried","raw_affiliation_strings":["(, Washington University in St. Louis)"],"affiliations":[{"raw_affiliation_string":"(, Washington University in St. Louis)","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014141242"],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":0.6417,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.6901479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"66","issue":"4","first_page":"1130","last_page":"1149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9926000237464905,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9848999977111816,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6339468955993652},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5820505619049072},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.5571919679641724},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5347453951835632},{"id":"https://openalex.org/keywords/balance","display_name":"Balance (ability)","score":0.4991447925567627},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.493522047996521},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4693635106086731},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4641498327255249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46342527866363525},{"id":"https://openalex.org/keywords/energy-balance","display_name":"Energy balance","score":0.4619557857513428},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.4582675099372864},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4387814402580261},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43248844146728516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3858979642391205},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32729846239089966},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2973928153514862},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2069849967956543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16266092658042908},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14590945839881897},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11771833896636963},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10630971193313599},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10304108262062073},{"id":"https://openalex.org/keywords/bubble","display_name":"Bubble","score":0.06111764907836914}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6339468955993652},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5820505619049072},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5571919679641724},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5347453951835632},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.4991447925567627},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.493522047996521},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4693635106086731},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4641498327255249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46342527866363525},{"id":"https://openalex.org/C2777423268","wikidata":"https://www.wikidata.org/wiki/Q3663116","display_name":"Energy balance","level":2,"score":0.4619557857513428},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.4582675099372864},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4387814402580261},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43248844146728516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3858979642391205},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32729846239089966},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2973928153514862},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2069849967956543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16266092658042908},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14590945839881897},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11771833896636963},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10630971193313599},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10304108262062073},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.06111764907836914},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/050632890","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050632890","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:bibcyt.ucla.edu.ve:T070300014221/2","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300014221/2&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8600000143051147}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W168936519","https://openalex.org/W172682184","https://openalex.org/W572714485","https://openalex.org/W1493412262","https://openalex.org/W1565451952","https://openalex.org/W1677173424","https://openalex.org/W1727314373","https://openalex.org/W1971180652","https://openalex.org/W1988516278","https://openalex.org/W1995824719","https://openalex.org/W1996282236","https://openalex.org/W1998962009","https://openalex.org/W2003692826","https://openalex.org/W2018008067","https://openalex.org/W2021350139","https://openalex.org/W2023561448","https://openalex.org/W2037505544","https://openalex.org/W2037913112","https://openalex.org/W2044594986","https://openalex.org/W2045416484","https://openalex.org/W2049253172","https://openalex.org/W2052149525","https://openalex.org/W2054434559","https://openalex.org/W2057860520","https://openalex.org/W2058043530","https://openalex.org/W2062314820","https://openalex.org/W2071434503","https://openalex.org/W2086649240","https://openalex.org/W2094094615","https://openalex.org/W2117491905","https://openalex.org/W2130241163","https://openalex.org/W2131036017","https://openalex.org/W2168021114","https://openalex.org/W2190309998","https://openalex.org/W4251220139","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W587735977","https://openalex.org/W1978142926","https://openalex.org/W3157395178","https://openalex.org/W2028768252","https://openalex.org/W2371558776","https://openalex.org/W2045569473","https://openalex.org/W2364426643","https://openalex.org/W2022216752","https://openalex.org/W2399388599","https://openalex.org/W1571672327"],"abstract_inverted_index":{"A":[0],"matched":[1],"asymptotic":[2],"analysis":[3,34],"is":[4],"used":[5],"to":[6],"exhibit":[7],"the":[8,36,39,45],"connection":[9],"between":[10,22,38],"supplemental":[11],"balance":[12],"equations":[13],"arising":[14,43],"in":[15,44],"sharp-interface":[16],"and":[17,41],"phase-field":[18],"theories":[19],"for":[20],"transformations":[21],"two":[23,46],"rigid":[24],"phases":[25],"distinguished":[26],"only":[27],"by":[28],"their":[29],"constant":[30],"free-energy":[31],"densities.":[32],"The":[33],"exposes":[35],"relationship":[37],"forces":[40],"balances":[42],"theories.":[47]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
