{"id":"https://openalex.org/W4318433276","doi":"https://doi.org/10.1137/21m1448082","title":"The Destabilizing Effect of Unbalanced Reaction as Diffusivity Decreases on Reaction-Diffusion Equations in Boundaryless Surfaces","display_name":"The Destabilizing Effect of Unbalanced Reaction as Diffusivity Decreases on Reaction-Diffusion Equations in Boundaryless Surfaces","publication_year":2023,"publication_date":"2023-01-20","ids":{"openalex":"https://openalex.org/W4318433276","doi":"https://doi.org/10.1137/21m1448082"},"language":"en","primary_location":{"id":"doi:10.1137/21m1448082","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1448082","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/A5050520179","display_name":"Arnaldo Simal do Nascimento","orcid":"https://orcid.org/0000-0002-2762-9226"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Arnaldo Simal do Nascimento","raw_affiliation_strings":["Universidade Federal de S\u00e3o Carlos\u2013DM, 13565-905 S\u00e3o Carlos, SP, Brasil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de S\u00e3o Carlos\u2013DM, 13565-905 S\u00e3o Carlos, SP, Brasil","institution_ids":["https://openalex.org/I177909021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050520179"],"corresponding_institution_ids":["https://openalex.org/I177909021"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00764169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"55","issue":"1","first_page":"68","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.989799976348877,"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":0.989799976348877,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9754999876022339,"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/mathematics","display_name":"Mathematics","score":0.6963462233543396},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6105688810348511},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5670981407165527},{"id":"https://openalex.org/keywords/equipartition-theorem","display_name":"Equipartition theorem","score":0.4630432724952698},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4243129789829254},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20233958959579468}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6963462233543396},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6105688810348511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5670981407165527},{"id":"https://openalex.org/C99742106","wikidata":"https://www.wikidata.org/wiki/Q255996","display_name":"Equipartition theorem","level":3,"score":0.4630432724952698},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4243129789829254},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20233958959579468},{"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/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1448082","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1448082","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":[{"display_name":"Affordable and clean energy","score":0.6600000262260437,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W71395605","https://openalex.org/W1524453264","https://openalex.org/W1968650043","https://openalex.org/W1970866242","https://openalex.org/W1978797040","https://openalex.org/W1985231389","https://openalex.org/W1991947325","https://openalex.org/W2013003815","https://openalex.org/W2016866443","https://openalex.org/W2020288552","https://openalex.org/W2030072159","https://openalex.org/W2046876224","https://openalex.org/W2056579797","https://openalex.org/W2067603105","https://openalex.org/W2159456902","https://openalex.org/W2232537196","https://openalex.org/W2476172920","https://openalex.org/W2963300569","https://openalex.org/W2963311091","https://openalex.org/W2979539475"],"related_works":["https://openalex.org/W2072691113","https://openalex.org/W2090923322","https://openalex.org/W2070195754","https://openalex.org/W2142627477","https://openalex.org/W2083385574","https://openalex.org/W2777849946","https://openalex.org/W2480060391","https://openalex.org/W2923415626","https://openalex.org/W4283835031","https://openalex.org/W2059972719"],"abstract_inverted_index":{"This":[0,123],"work":[1],"is":[2,38,64,91,101,141],"a":[3,23,58,65,77,162],"contribution":[4],"to":[5,103,113,148,161,202,208],"unravel":[6],"the":[7,14,18,31,34,40,44,114,126,133,138,149,154,190,196,203,209,218,224,227],"interplay":[8],"between":[9],"diffusivity,":[10],"domain":[11],"geometry,":[12],"and":[13,63],"reaction":[15],"term":[16],"of":[17,25,33,46,48,52,79,153,195,199,217,220,226,229],"reaction-diffusion":[19],"equation":[20],"in":[21,142,206,223],",":[22,73,90,157,171,172,194,207],"surface":[24],"revolution":[26],"without":[27],"boundary,":[28],"that":[29,189,221],"impacts":[30],"dynamics":[32],"flow.":[35],"The":[36],"focus":[37],"on":[39,50,185],"role":[41],"played":[42],"by":[43],"breaking":[45,225],"equipartition":[47,228],"energy":[49],"existence":[51],"stable/unstable":[53],"stationary":[54,81,165,200],"solutions.":[55],"If":[56],"has":[57],"local":[59,134,210],"isolated":[60],"minimizing":[61,211],"geodesic":[62,136,212],"bistable":[66],"function":[67],"with":[68],"three":[69],"consecutive":[70],"zeros":[71,107,219],"satisfying":[72],"then":[74],"there":[75],"exists":[76],"family":[78],"stable":[80,96,106],"monotonic":[82],"solutions":[83,97,117],"for":[84],"all":[85],"whose":[86,105,167],"limiting":[87,127],"amplitude,":[88],"as":[89,111,121,125,156,193],".":[92,109,122,175],"For":[93],"fixed,":[94],"these":[95,116],"still":[98],"persist":[99],"if":[100],"perturbed":[102],"some":[104],"satisfy":[108],"However,":[110],"opposed":[112],"case":[115],"eventually":[118],"become":[119],"unstable":[120,164],"happens":[124],"internal":[128],"transition":[129],"layer":[130],"located":[131],"at":[132],"minimal":[135],"when":[137,145],"equal-area":[139],"condition":[140],"place":[143],"shifts,":[144],"it":[146,187],"breaks,":[147],"most":[150],"western/eastern":[151],"end":[152],"surface,":[155],"thus":[158],"giving":[159],"rise":[160],"spiky":[163],"solution":[166,201],"height":[168],"approaches":[169],"where":[170],"realizes,":[173],"again,":[174],"In":[176],"particular,":[177],"since":[178],"this":[179],"asymptotic":[180],"behavior":[181],"does":[182],"not":[183],"rely":[184],"stability,":[186],"indicates":[188],"well-known":[191],"convergence,":[192],"nodal":[197],"curves":[198],"Allen\u2013Cahn":[204],"equation,":[205],"fails":[213],"under":[214],"any":[215],"perturbation":[216],"results":[222],"energy.":[230]},"counts_by_year":[],"updated_date":"2026-02-24T19:35:01.260952","created_date":"2025-10-10T00:00:00"}