{"id":"https://openalex.org/W2122531022","doi":"https://doi.org/10.1137/100786204","title":"Stability of Traveling Waves for a Class of Reaction-Diffusion Systems That Arise in Chemical Reaction Models","display_name":"Stability of Traveling Waves for a Class of Reaction-Diffusion Systems That Arise in Chemical Reaction Models","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2122531022","doi":"https://doi.org/10.1137/100786204","mag":"2122531022"},"language":"en","primary_location":{"id":"doi:10.1137/100786204","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100786204","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/A5083111509","display_name":"Anna Ghazaryan","orcid":"https://orcid.org/0000-0003-1637-7120"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Anna Ghazaryan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035072183","display_name":"Yuri Latushkin","orcid":"https://orcid.org/0000-0002-8259-5655"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuri Latushkin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5073226666","display_name":"Stephen Schecter","orcid":"https://orcid.org/0000-0002-6676-3858"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stephen Schecter","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083111509"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.1016,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.95134086,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"42","issue":"6","first_page":"2434","last_page":"2472"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7471294403076172},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.7325047254562378},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6942429542541504},{"id":"https://openalex.org/keywords/exothermic-reaction","display_name":"Exothermic reaction","score":0.6771504878997803},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6308999061584473},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5727893114089966},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5534072518348694},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.4961789548397064},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.44141197204589844},{"id":"https://openalex.org/keywords/endothermic-process","display_name":"Endothermic process","score":0.43603378534317017},{"id":"https://openalex.org/keywords/essential-spectrum","display_name":"Essential spectrum","score":0.4170108437538147},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.2647615671157837},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2221919298171997},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.2100047469139099},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1845507025718689},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12838193774223328},{"id":"https://openalex.org/keywords/physical-chemistry","display_name":"Physical chemistry","score":0.11676764488220215},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09374862909317017}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7471294403076172},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.7325047254562378},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6942429542541504},{"id":"https://openalex.org/C45119746","wikidata":"https://www.wikidata.org/wiki/Q205949","display_name":"Exothermic reaction","level":2,"score":0.6771504878997803},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6308999061584473},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5727893114089966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5534072518348694},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.4961789548397064},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.44141197204589844},{"id":"https://openalex.org/C20976626","wikidata":"https://www.wikidata.org/wiki/Q12571883","display_name":"Endothermic process","level":3,"score":0.43603378534317017},{"id":"https://openalex.org/C2780297109","wikidata":"https://www.wikidata.org/wiki/Q917390","display_name":"Essential spectrum","level":3,"score":0.4170108437538147},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2647615671157837},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2221919298171997},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.2100047469139099},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1845507025718689},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12838193774223328},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.11676764488220215},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09374862909317017},{"id":"https://openalex.org/C150394285","wikidata":"https://www.wikidata.org/wiki/Q180254","display_name":"Adsorption","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/100786204","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100786204","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:CiteSeerX.psu:10.1.1.371.1943","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.371.1943","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www4.ncsu.edu/~schecter/cr_models.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.620.1541","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.620.1541","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.missouri.edu/~yuri/preprints/rds.pdf","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":26,"referenced_works":["https://openalex.org/W141185090","https://openalex.org/W1527296550","https://openalex.org/W1541939020","https://openalex.org/W1560060148","https://openalex.org/W1606157354","https://openalex.org/W1966106671","https://openalex.org/W1974020483","https://openalex.org/W1978148396","https://openalex.org/W1980692446","https://openalex.org/W2002933545","https://openalex.org/W2028646808","https://openalex.org/W2042210247","https://openalex.org/W2044069397","https://openalex.org/W2048604961","https://openalex.org/W2052172730","https://openalex.org/W2059999403","https://openalex.org/W2068522927","https://openalex.org/W2077988770","https://openalex.org/W2079992659","https://openalex.org/W2087373891","https://openalex.org/W2088883807","https://openalex.org/W2091569215","https://openalex.org/W2099700491","https://openalex.org/W2122013064","https://openalex.org/W2131169798","https://openalex.org/W2575604748"],"related_works":["https://openalex.org/W2344294693","https://openalex.org/W2061818987","https://openalex.org/W1997022868","https://openalex.org/W2058973986","https://openalex.org/W1966006972","https://openalex.org/W4287780914","https://openalex.org/W3034862729","https://openalex.org/W3023599262","https://openalex.org/W2064520184","https://openalex.org/W1970842439"],"abstract_inverted_index":{"Stability":[0],"results":[1],"are":[2,57,68,94],"proved":[3],"for":[4,124],"traveling":[5,86],"waves":[6],"in":[7,15,23,29,52,59,73,88,95,98,110],"a":[8,82,105,121],"class":[9,20],"of":[10,49,84,107,116,130],"reaction-diffusion":[11],"systems":[12,22],"that":[13,35,56,93,119],"arise":[14],"chemical":[16],"reaction":[17],"models.":[18],"The":[19],"includes":[21],"which":[24],"there":[25],"is":[26,41,133,144],"no":[27],"diffusion":[28],"some":[30],"equations.":[31],"A":[32,114],"weight":[33],"function":[34],"decays":[36],"exponentially":[37,80],"at":[38,127],"one":[39,128],"end":[40,129],"required":[42],"to":[43,70,78,81,104,135,141],"stabilize":[44],"the":[45,50,61,65,74,85,89,99,108,111,117,125,131,137],"essential":[46],"spectrum.":[47],"Perturbations":[48,92],"wave":[51,87,109,132],"$H^1$":[53],"or":[54],"$BUC$":[55],"small":[58,72,97],"both":[60],"weighted":[62,90],"norm":[63,67,76,101],"and":[64,77],"unweighted":[66,75],"shown":[69],"stay":[71],"decay":[79,102],"shift":[83,106],"norm.":[91,113],"addition":[96],"$L^1$":[100],"algebraically":[103],"$L^\\infty$":[112],"decomposition":[115],"variables":[118],"yields":[120],"triangular":[122],"structure":[123],"linearization":[126],"exploited":[134],"prove":[136],"results.":[138],"An":[139],"application":[140],"exothermic-endothermic":[142],"reactions":[143],"given.":[145]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
