{"id":"https://openalex.org/W7212307148","doi":"https://doi.org/10.48550/arxiv.2609.11002","title":"Averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection","display_name":"Averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection","publication_year":2026,"publication_date":"2026-09-10","ids":{"openalex":"https://openalex.org/W7212307148","doi":"https://doi.org/10.48550/arxiv.2609.11002"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.11002","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11002","pdf_url":"https://arxiv.org/pdf/2609.11002","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.11002","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138163861","display_name":"Huijie Qiao","orcid":"https://orcid.org/0000-0002-5407-3817","observed_orcids":["https://orcid.org/0000-0002-5407-3817"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiao, Huijie","raw_affiliation_strings":["School of Mathematics , Southeast University Nanjing , Jiangsu 211189 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , Southeast University Nanjing , Jiangsu 211189 , China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5138163861"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.5497999787330627,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.5497999787330627,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.08470000326633453,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.08110000193119049,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/averaging-principle","display_name":"averaging principle","score":0.8090000152587891},{"id":"https://openalex.org/keywords/non-autonomous-systems","display_name":"non-autonomous systems","score":0.8420000076293945},{"id":"https://openalex.org/keywords/stochastic-burgers-equation","display_name":"stochastic Burgers equation","score":0.9599999785423279},{"id":"https://openalex.org/keywords/reflecting-boundary-conditions","display_name":"reflecting boundary conditions","score":0.8330000042915344},{"id":"https://openalex.org/keywords/periodic-coefficients","display_name":"periodic coefficients","score":0.8450000286102295},{"id":"https://openalex.org/keywords/asymptotic-coefficients","display_name":"asymptotic coefficients","score":0.8970000147819519},{"id":"https://openalex.org/keywords/stopping-times","display_name":"stopping times","score":0.8479999899864197},{"id":"https://openalex.org/keywords/homogenization","display_name":"homogenization","score":0.6119999885559082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7196999788284302},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.5819000005722046},{"id":"https://openalex.org/C5555538","wikidata":"https://www.wikidata.org/wiki/Q6823703","display_name":"Method of averaging","level":3,"score":0.546999990940094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.531499981880188},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.5206000208854675},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5199000239372253},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5054000020027161},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4693000018596649},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.37119999527931213},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.26579999923706055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.11002","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11002","pdf_url":"https://arxiv.org/pdf/2609.11002","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.11002","doi":"https://doi.org/10.48550/arxiv.2609.11002","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.11002","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.11002","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11002","pdf_url":"https://arxiv.org/pdf/2609.11002","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8147553648","display_name":"\u5e26\u8df3\u968f\u673a\u504f\u5fae\u5206\u65b9\u7a0b\u82e5\u5e72\u6027\u8d28\u7814\u7a76","funder_award_id":"12071071","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212307148.pdf","grobid_xml":"https://content.openalex.org/works/W7212307148.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W4405355049","https://openalex.org/W4405432994","https://openalex.org/W6948594353","https://openalex.org/W7164533330","https://openalex.org/W7169840760","https://openalex.org/W7201861947","https://openalex.org/W7212109313"],"related_works":["https://openalex.org/W4392397871","https://openalex.org/W4415333925","https://openalex.org/W4394755228","https://openalex.org/W2962833148","https://openalex.org/W4402510110","https://openalex.org/W2997325406","https://openalex.org/W2908555382","https://openalex.org/W7169840760","https://openalex.org/W2903129094","https://openalex.org/W2940508115"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,16,46],"study":[4],"averaging":[5,20,71],"principles":[6],"for":[7],"nonautonomous":[8],"multiscale":[9],"stochastic":[10],"Burgers":[11],"equations":[12,25,61],"with":[13],"reflection.":[14],"First,":[15],"derive":[17],"a":[18,85],"general":[19],"principle":[21],"applicable":[22],"to":[23,90],"such":[24],"under":[26],"minimal":[27],"assumptions.":[28],"Subsequently,":[29],"since":[30],"the":[31,34,41,54,92,97],"coefficients":[32,63],"of":[33,66,96],"obtained":[35],"averaged":[36,60],"equation":[37],"still":[38],"depend":[39],"on":[40,53],"small":[42],"scaling":[43],"parameter":[44],"$\\e$,":[45],"impose":[47],"either":[48],"periodic":[49],"or":[50],"asymptotic":[51],"conditions":[52],"coefficients,":[55],"thereby":[56],"obtain":[57],"two":[58,70],"distinct":[59],"whose":[62],"are":[64],"independent":[65],"$\\e$":[67],"and":[68,75,94],"establish":[69],"principles.":[72],"Stopping":[73],"times":[74],"Khasminskii's":[76],"time":[77],"discretization":[78],"schemes":[79],"play":[80],"an":[81],"important":[82],"role.":[83],"Finally,":[84],"concrete":[86],"example":[87],"is":[88],"provided":[89],"illustrate":[91],"applicability":[93],"validity":[95],"theoretical":[98],"results.":[99]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-12T00:00:00"}