{"id":"https://openalex.org/W2507269521","doi":"https://doi.org/10.1137/15m1010762","title":"Stability, Instability, and Bifurcation in Electrified Thin Films","display_name":"Stability, Instability, and Bifurcation in Electrified Thin Films","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2507269521","doi":"https://doi.org/10.1137/15m1010762","mag":"2507269521"},"language":"en","primary_location":{"id":"doi:10.1137/15m1010762","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1010762","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/A5044177527","display_name":"Marco A. Fontelos","orcid":"https://orcid.org/0000-0003-4986-1752"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marco A. Fontelos","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003733262","display_name":"Hyung Ju Hwang","orcid":"https://orcid.org/0000-0002-3678-2687"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hyung Ju Hwang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058849676","display_name":"Youngmin Oh","orcid":"https://orcid.org/0000-0002-9279-0155"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Youngmin Oh","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044177527"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.304,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60611881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":"4","first_page":"2730","last_page":"2782"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9940999746322632,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/steady-state","display_name":"Steady state (chemistry)","score":0.7668797969818115},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7636961936950684},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7362734079360962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7131956219673157},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.6308426260948181},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6168506145477295},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.6060119271278381},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48469996452331543},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4519290328025818},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4327009618282318},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4230839014053345},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18320584297180176},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18019667267799377},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.17371228337287903},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06278136372566223},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05504047870635986}],"concepts":[{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.7668797969818115},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7636961936950684},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7362734079360962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7131956219673157},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6308426260948181},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6168506145477295},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.6060119271278381},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48469996452331543},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4519290328025818},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4327009618282318},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4230839014053345},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18320584297180176},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18019667267799377},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.17371228337287903},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06278136372566223},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05504047870635986},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1010762","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1010762","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:oasis.postech.ac.kr:2014.oak/38189","is_oa":false,"landing_page_url":"https://oasis.postech.ac.kr/handle/2014.oak/38189","pdf_url":null,"source":{"id":"https://openalex.org/S4306401965","display_name":"Open Access System for Information Sharing (Pohang University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123900574","host_organization_name":"Pohang University of Science and Technology","host_organization_lineage":["https://openalex.org/I123900574"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3476822205","display_name":null,"funder_award_id":"2013053914","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3836939660","display_name":null,"funder_award_id":"2015R1A2A2A0100251","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1992043789","https://openalex.org/W1998136115","https://openalex.org/W2028461998","https://openalex.org/W2041252020","https://openalex.org/W2042747310","https://openalex.org/W2056826190","https://openalex.org/W2058436955","https://openalex.org/W2060214177","https://openalex.org/W2064728990","https://openalex.org/W2071701776","https://openalex.org/W2078279585","https://openalex.org/W2092696532","https://openalex.org/W2094238717","https://openalex.org/W2106676899","https://openalex.org/W2114955730","https://openalex.org/W2152869371","https://openalex.org/W3100690826"],"related_works":["https://openalex.org/W2306553012","https://openalex.org/W4251417359","https://openalex.org/W4229993731","https://openalex.org/W2381059884","https://openalex.org/W2372756075","https://openalex.org/W1979193983","https://openalex.org/W2743679792","https://openalex.org/W2363489175","https://openalex.org/W2899763530","https://openalex.org/W2389421446"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,25,59,72,112,135],"consider":[4],"an":[5,15,119],"electrified":[6,86],"thin":[7,87],"film":[8,88],"equation":[9,89],"with":[10,118],"periodic":[11],"boundary":[12],"conditions.":[13],"When":[14],"applied":[16,52,104],"voltage":[17,53,105],"is":[18,54],"sufficiently":[19,57],"small":[20],"after":[21],"a":[22,114],"finite":[23],"time,":[24],"prove":[26,60,73],"the":[27,40,44,47,51,62,65,74,85,99,103,108,130,138,143],"global":[28],"existence":[29,75],"of":[30,43,76,80,84,98],"unique":[31,115],"solutions":[32,63,93,139,146],"around":[33,64,90,123],"positive":[34,91,96],"constant":[35,55,66,92],"steady":[36,67,82,125],"states":[37,68,83,126],"and":[38,56,134],"study":[39],"asymptotic":[41],"behavior":[42],"solutions.":[45],"On":[46],"other":[48],"hand,":[49],"when":[50],"large,":[58],"that":[61,137],"are":[69],"unstable.":[70],"Moreover,":[71],"infinitely":[77],"many":[78],"curves":[79],"nontrivial":[81,124,144],"at":[94],"certain":[95],"values":[97],"voltage.":[100],"Finally,":[101],"as":[102,147],"passes":[106],"through":[107],"first":[109,131],"bifurcation":[110,132],"value,":[111],"obtain":[113],"global-in-time":[116],"solution":[117],"initially":[120],"perturbed":[121],"domain":[122],"which":[127],"come":[128],"from":[129],"curve,":[133],"show":[136],"exponentially":[140],"converge":[141],"to":[142,150],"steady-state":[145],"time":[148],"goes":[149],"infinity.":[151]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}