{"id":"https://openalex.org/W7206201311","doi":"https://doi.org/10.48550/arxiv.2609.00698","title":"Kinetic Wedge Layers and Diffusive Limit of Neutron Transport in Polygonal Domains","display_name":"Kinetic Wedge Layers and Diffusive Limit of Neutron Transport in Polygonal Domains","publication_year":2026,"publication_date":"2026-09-01","ids":{"openalex":"https://openalex.org/W7206201311","doi":"https://doi.org/10.48550/arxiv.2609.00698"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.00698","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00698","pdf_url":"https://arxiv.org/pdf/2609.00698","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/2609.00698","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010672881","display_name":"Zhimeng Ouyang","orcid":"https://orcid.org/0000-0002-5753-0278","observed_orcids":["https://orcid.org/0000-0002-5753-0278"]},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Ouyang, Zhimeng","raw_affiliation_strings":["Department of Mathematics , Lehigh University , Bethlehem , PA 18015 , USA","School of Mathematical Sciences , Peking University , Beijing 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Lehigh University , Bethlehem , PA 18015 , USA","institution_ids":["https://openalex.org/I186143895"]},{"raw_affiliation_string":"School of Mathematical Sciences , Peking University , Beijing 100871 , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5149174597","display_name":"Lei Wu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu, Lei","raw_affiliation_strings":["School of Mathematical Sciences , Peking University , Beijing 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , Peking University , Beijing 100871 , China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.6079000234603882,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.6079000234603882,"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/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.26440000534057617,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.051600001752376556,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/neutron-transport-equation","display_name":"neutron transport equation","score":0.8619999885559082},{"id":"https://openalex.org/keywords/diffusive-limit","display_name":"diffusive limit","score":0.984000027179718},{"id":"https://openalex.org/keywords/polygonal-domains","display_name":"polygonal domains","score":0.9779999852180481},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.7310000061988831}],"concepts":[{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.7827000021934509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6276000142097473},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5867000222206116},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5338000059127808},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4514999985694885},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3686000108718872},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36550000309944153},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.36250001192092896},{"id":"https://openalex.org/C66963500","wikidata":"https://www.wikidata.org/wiki/Q3338735","display_name":"Neutron transport","level":3,"score":0.3425000011920929},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.3398999869823456},{"id":"https://openalex.org/C191677583","wikidata":"https://www.wikidata.org/wiki/Q580253","display_name":"Fresnel integral","level":4,"score":0.31779998540878296},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.302700012922287},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2969000041484833},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.25850000977516174}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.00698","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00698","pdf_url":"https://arxiv.org/pdf/2609.00698","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.2609.00698","doi":"https://doi.org/10.48550/arxiv.2609.00698","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.00698","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:2609.00698","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00698","pdf_url":"https://arxiv.org/pdf/2609.00698","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/G3127036742","display_name":"Asymptotic Problems in Kinetic Theory","funder_award_id":"2405161","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7206201311.pdf","grobid_xml":"https://content.openalex.org/works/W7206201311.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2804609463","https://openalex.org/W4399848028","https://openalex.org/W3183456202","https://openalex.org/W2790993869","https://openalex.org/W2964157599","https://openalex.org/W4409454495","https://openalex.org/W2339613414","https://openalex.org/W2383844595","https://openalex.org/W3004516116","https://openalex.org/W2165335881"],"abstract_inverted_index":{"We":[0,46,91],"study":[1],"the":[2,6,29,56,88,94],"diffusive":[3,96],"limit":[4,97],"of":[5],"steady":[7],"neutron":[8],"transport":[9],"equation":[10],"with":[11,108],"velocity-dependent":[12],"in-flow":[13],"boundary":[14],"data":[15],"in":[16,44],"polygonal":[17],"domains.":[18],"On":[19],"a":[20,49,67,71,76,83],"bounded":[21,103],"convex":[22],"polygon,":[23],"we":[24],"construct":[25],"an":[26,40],"approximation":[27],"by":[28],"interior":[30],"solution,":[31],"flat":[32],"side":[33],"layers,":[34,37],"and":[35,38,52,79,82],"wedge":[36,58,89],"prove":[39,93],"algebraic":[41,62],"error":[42],"estimate":[43],"$L^\\infty$.":[45],"also":[47,92],"give":[48],"complete":[50],"formulation":[51],"well-posedness":[53],"theory":[54],"for":[55,87],"kinetic":[57],"layer,":[59],"including":[60,106],"its":[61],"decay.":[63],"The":[64],"proof":[65],"combines":[66],"characteristic":[68],"stability":[69],"estimate,":[70],"weighted":[72],"Mellin":[73],"mapping":[74],"theorem,":[75],"two-depth":[77],"construction":[78],"matching":[80],"scheme,":[81],"shifted":[84],"superharmonic":[85],"barrier":[86],"corrector.":[90],"$L^2$":[95],"at":[98],"rate":[99],"$O(\\varepsilon^{1/2})$":[100],"on":[101],"general":[102],"simple":[104],"polygons,":[105],"those":[107],"reentrant":[109],"vertices.":[110]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-03T00:00:00"}
