{"id":"https://openalex.org/W1972550090","doi":"https://doi.org/10.1016/s0893-9659(02)80012-x","title":"Linear stability of source-type similarity solutions of the thin film equation","display_name":"Linear stability of source-type similarity solutions of the thin film equation","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W1972550090","doi":"https://doi.org/10.1016/s0893-9659(02)80012-x","mag":"1972550090"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(02)80012-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(02)80012-x","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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/A5025367520","display_name":"Andrew J. Bernoff","orcid":"https://orcid.org/0000-0001-9443-6320"},"institutions":[{"id":"https://openalex.org/I133543626","display_name":"Harvey Mudd College","ror":"https://ror.org/025ecfn45","country_code":"US","type":"education","lineage":["https://openalex.org/I133543626"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A.J. Bernoff","raw_affiliation_strings":["Department of Mathematics, Harvey Mudd College Claremont, CA 91711, U.S.A","Department of Mathematics, Harvey Mudd College, Claremont, CA 91711, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harvey Mudd College Claremont, CA 91711, U.S.A","institution_ids":["https://openalex.org/I133543626"]},{"raw_affiliation_string":"Department of Mathematics, Harvey Mudd College, Claremont, CA 91711, U.S.A","institution_ids":["https://openalex.org/I133543626"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053976950","display_name":"Thomas P. Witelski","orcid":"https://orcid.org/0000-0003-0789-9859"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T.P. Witelski","raw_affiliation_strings":["Department of Mathematics, Duke University Durham, NC 27708-0320, U.S.A","Department of Mathematics, Duke University, Durham, NC 27708\u20130320, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Duke University Durham, NC 27708-0320, U.S.A","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Department of Mathematics, Duke University, Durham, NC 27708\u20130320, U.S.A","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025367520","https://openalex.org/A5053976950"],"corresponding_institution_ids":["https://openalex.org/I133543626","https://openalex.org/I170897317"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":2.7412,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.88674075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"5","first_page":"599","last_page":"606"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","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"}},"topics":[{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9610000252723694,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9135953187942505},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.8025184869766235},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7030210494995117},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6923651695251465},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.667672872543335},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5783137679100037},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.559656023979187},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.4483982026576996},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3580864667892456},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.2210332751274109},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09970822930335999}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9135953187942505},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.8025184869766235},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7030210494995117},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6923651695251465},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.667672872543335},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5783137679100037},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.559656023979187},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4483982026576996},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3580864667892456},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2210332751274109},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09970822930335999},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0893-9659(02)80012-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(02)80012-x","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:b5a4220e-3d51-4f8c-ae26-a733974abeb1","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:b5a4220e-3d51-4f8c-ae26-a733974abeb1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"},{"id":"pmh:oai:scholarship.claremont.edu:hmc_fac_pub-1555","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S089396590280012X","pdf_url":null,"source":{"id":"https://openalex.org/S4306401604","display_name":"Scholarship @ Claremont (The Claremont Colleges)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I872248612","host_organization_name":"Claremont Colleges","host_organization_lineage":["https://openalex.org/I872248612"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"All HMC Faculty Publications and Research","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1967064524","https://openalex.org/W1971723555","https://openalex.org/W1978377107","https://openalex.org/W1979080982","https://openalex.org/W2017596211","https://openalex.org/W2018371111","https://openalex.org/W2025355040","https://openalex.org/W2037732304","https://openalex.org/W2041252020","https://openalex.org/W2043706085","https://openalex.org/W2058436955","https://openalex.org/W2059902847","https://openalex.org/W2078279585","https://openalex.org/W2081356637","https://openalex.org/W2083250674","https://openalex.org/W2087522722","https://openalex.org/W2120062331","https://openalex.org/W2460228557","https://openalex.org/W2488792602","https://openalex.org/W3169808812","https://openalex.org/W4285719527","https://openalex.org/W6718833926"],"related_works":["https://openalex.org/W2019004897","https://openalex.org/W1978358754","https://openalex.org/W2966199516","https://openalex.org/W2015472918","https://openalex.org/W2004427275","https://openalex.org/W1560920036","https://openalex.org/W3182351246","https://openalex.org/W2093857802","https://openalex.org/W1980109976","https://openalex.org/W1972550090"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}