{"id":"https://openalex.org/W1996610570","doi":"https://doi.org/10.1137/080726744","title":"A Waiting Time Phenomenon in Pattern Forming Systems","display_name":"A Waiting Time Phenomenon in Pattern Forming Systems","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1996610570","doi":"https://doi.org/10.1137/080726744","mag":"1996610570"},"language":"en","primary_location":{"id":"doi:10.1137/080726744","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080726744","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/A5086261929","display_name":"Wolf\u2010Patrick D\u00fcll","orcid":"https://orcid.org/0000-0002-1394-9413"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wolf-Patrick D\u00fcll","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5053506285","display_name":"Guido Schneider","orcid":"https://orcid.org/0000-0002-9689-6299"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guido Schneider","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3562,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62248007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"41","issue":"1","first_page":"415","last_page":"433"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991000294685364,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9857000112533569,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9739999771118164,"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/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.8067143559455872},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7431339621543884},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.651424765586853},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.6296585202217102},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5411185026168823},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.45712703466415405},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.308245986700058},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21377795934677124},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07039958238601685},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06022000312805176}],"concepts":[{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.8067143559455872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7431339621543884},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.651424765586853},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.6296585202217102},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5411185026168823},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.45712703466415405},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.308245986700058},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21377795934677124},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07039958238601685},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06022000312805176}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080726744","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080726744","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1481466841","https://openalex.org/W1964296541","https://openalex.org/W1970706018","https://openalex.org/W1977771619","https://openalex.org/W1982920065","https://openalex.org/W1991671250","https://openalex.org/W2019806348","https://openalex.org/W2047926208","https://openalex.org/W2072059296","https://openalex.org/W2111059884","https://openalex.org/W2149453355"],"related_works":["https://openalex.org/W2971099291","https://openalex.org/W3099211396","https://openalex.org/W2040259912","https://openalex.org/W2886810076","https://openalex.org/W2941405134","https://openalex.org/W1484269119","https://openalex.org/W126524403","https://openalex.org/W1998200790","https://openalex.org/W4317210689","https://openalex.org/W2036051171"],"abstract_inverted_index":{"Waiting":[0],"time":[1],"phenomena":[2],"are":[3],"well":[4],"known":[5],"to":[6,43],"occur":[7],"in":[8,29],"degenerate":[9],"parabolic":[10],"equations":[11],"like":[12],"the":[13,30,36,44,47],"porous":[14],"medium":[15],"equation.":[16],"In":[17],"this":[18],"paper":[19],"we":[20],"prove":[21],"that":[22],"such":[23],"a":[24,39],"phenomenon":[25],"also":[26],"occurs":[27],"approximately":[28],"Ginzburg\u2013Landau":[31],"equation":[32],"for":[33],"modulations":[34],"of":[35,46],"pattern":[37],"with":[38],"basic":[40],"wavenumber":[41],"close":[42],"boundaries":[45],"Eckhaus":[48],"stable":[49],"region.":[50]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
