乐胖代购免代理版

{"id":"https://openalex.org/W2029154247","doi":"https://doi.org/10.1137/s0036139998338340","title":"A Metastable Spike Solution for a Nonlocal Reaction-Diffusion Model","display_name":"A Metastable Spike Solution for a Nonlocal Reaction-Diffusion Model","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2029154247","doi":"https://doi.org/10.1137/s0036139998338340","mag":"2029154247"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998338340","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5036140954","display_name":"David Iron","orcid":"https://orcid.org/0000-0002-0565-8026"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Iron","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5037517718","display_name":"Michael J. Ward","orcid":"https://orcid.org/0000-0001-6959-7202"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael J. Ward","raw_affiliation_strings":["University of British Columbia"],"affiliations":[{"raw_affiliation_string":"University of British Columbia","institution_ids":["https://openalex.org/I141945490"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.909,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":52,"citation_normalized_percentile":{"value":0.954266,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":92,"max":93},"biblio":{"volume":"60","issue":"3","first_page":"778","last_page":"802"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Dynamics of Synchronization in Complex Networks","score":0.9999,"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":"Dynamics of Synchronization in Complex Networks","score":0.9999,"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/T10482","display_name":"Disease Transmission and Population Dynamics","score":0.998,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11513","display_name":"Stochastic Resonance in Nonlinear Systems","score":0.9936,"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/metastability","display_name":"Metastability","score":0.5952175},{"id":"https://openalex.org/keywords/reaction-diffusion-model","display_name":"Reaction-Diffusion Model","score":0.532379},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.52791196},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.42611986}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8013849},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.60768247},{"id":"https://openalex.org/C89464430","wikidata":"https://www.wikidata.org/wiki/Q849516","display_name":"Metastability","level":2,"score":0.5952175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5621786},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.5384464},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.52791196},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4913608},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.45976725},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.42611986},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34545326},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16973019},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.104451716},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0795145}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998338340","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":19,"referenced_works":["https://openalex.org/W1206136296","https://openalex.org/W1511279087","https://openalex.org/W1977010796","https://openalex.org/W1980661496","https://openalex.org/W1996595376","https://openalex.org/W2034145387","https://openalex.org/W2050434873","https://openalex.org/W2063762428","https://openalex.org/W2083618063","https://openalex.org/W2085123496","https://openalex.org/W2089840306","https://openalex.org/W2108707014","https://openalex.org/W2113257692","https://openalex.org/W2120048217","https://openalex.org/W2132717699","https://openalex.org/W2150602009","https://openalex.org/W2283545397","https://openalex.org/W2308658484","https://openalex.org/W262250954"],"related_works":["https://openalex.org/W2801591704","https://openalex.org/W2385382668","https://openalex.org/W2351460627","https://openalex.org/W2335514579","https://openalex.org/W2283102826","https://openalex.org/W2100701926","https://openalex.org/W2079698632","https://openalex.org/W2023596821","https://openalex.org/W1974236007","https://openalex.org/W1969098006"],"abstract_inverted_index":{"An":[0],"asymptotic":[1],"reduction":[2],"of":[3,11,31,46,54,90,107,120],"the":[4,9,25,29,47,52,55,78,82,88,98,105,118,129,150,153],"Gierer--Meinhardt":[5],"activator-inhibitor":[6],"system":[7],"in":[8,66,81,87,97],"limit":[10,30,89],"large":[12],"inhibitor":[13],"diffusivity":[14],"leads":[15],"to":[16,38,152],"a":[17,35,68,71,140,145],"singularly":[18],"perturbed":[19],"nonlocal":[20,40,56,95],"reaction":[21],"diffusion":[22],"equation":[23],"for":[24,103,117,128],"activator":[26,33,92],"concentration.":[27],"In":[28],"small":[32,86,91,110],"diffusivity,":[34],"one-spike":[36],"solution":[37,63,151],"this":[39],"model":[41,57],"is":[42,64,75,101],"constructed.":[43],"The":[44,94],"spectrum":[45,83],"eigenvalue":[48,99],"problem":[49,100],"associated":[50],"with":[51],"linearization":[53],"around":[58],"such":[59,108],"an":[60,121],"isolated":[61],"spike":[62,134],"studied":[65],"both":[67],"one-dimensional":[69],"and":[70],"multidimensional":[72],"context.":[73],"It":[74],"shown":[76],"that":[77],"principal":[79,111],"eigenvalues":[80,114],"are":[84,115,136],"exponentially":[85,109,122],"diffusivity.":[93],"term":[96],"essential":[102],"ensuring":[104],"existence":[106],"eigenvalues.":[112],"These":[113],"responsible":[116],"occurrence":[119],"slow,":[123],"or":[124],"metastable,":[125],"spike-layer":[126],"motion":[127],"time-dependent":[130],"problem.":[131,155],"Explicit":[132],"metastable":[133],"dynamics":[135],"derived":[137],"by":[138],"using":[139],"projection":[141],"method,":[142],"which":[143],"enforces":[144],"limiting":[146],"solvability":[147],"condition":[148],"on":[149],"linearized":[154]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2029154247","counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2024-11-22T11:24:21.769537","created_date":"2016-06-24"}