{"id":"https://openalex.org/W7225314916","doi":"https://doi.org/10.5281/zenodo.23969710","title":"Well-posedness and Degenerate Limits of a Positive-Flux Boundary-Formation Prototype: A Source-Scoped Mathematical Analysis within Boundary Information Geometry","display_name":"Well-posedness and Degenerate Limits of a Positive-Flux Boundary-Formation Prototype: A Source-Scoped Mathematical Analysis within Boundary Information Geometry","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225314916","doi":"https://doi.org/10.5281/zenodo.23969710"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23969710","doi":"https://doi.org/10.5281/zenodo.23969710","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969710","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23969710","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135923567","display_name":"Jun Lucis","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lucis, Jun","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5135923567"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.7426999807357788,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.7426999807357788,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.22059999406337738,"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":0.010900000110268593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-diffusion","display_name":"nonlinear diffusion","score":0.753000020980835},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.8610000014305115},{"id":"https://openalex.org/keywords/degenerate-limit","display_name":"degenerate limit","score":0.8100000023841858},{"id":"https://openalex.org/keywords/porous-medium-equation","display_name":"porous medium equation","score":0.8529999852180481},{"id":"https://openalex.org/keywords/neumann-boundary-conditions","display_name":"Neumann boundary conditions","score":0.8920000195503235},{"id":"https://openalex.org/keywords/weak-existence","display_name":"weak existence","score":0.8880000114440918},{"id":"https://openalex.org/keywords/l1-contraction","display_name":"L1-contraction","score":0.8230000138282776},{"id":"https://openalex.org/keywords/uniqueness","display_name":"uniqueness","score":0.7490000128746033},{"id":"https://openalex.org/keywords/compact-support","display_name":"compact support","score":0.7080000042915344},{"id":"https://openalex.org/keywords/level-sets","display_name":"level sets","score":0.6800000071525574}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7253999710083008},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6969000101089478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.692799985408783},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6118999719619751},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5522000193595886},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.5178999900817871},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.491100013256073},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4562999904155731},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.4433000087738037},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.44190001487731934},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.42570000886917114},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41280001401901245},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3919000029563904},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.38420000672340393},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3806000053882599},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.3749000132083893},{"id":"https://openalex.org/C27142425","wikidata":"https://www.wikidata.org/wiki/Q1139334","display_name":"Almost everywhere","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.31700000166893005},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C106347477","wikidata":"https://www.wikidata.org/wiki/Q5384228","display_name":"Equating","level":3,"score":0.31130000948905945},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.29750001430511475},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.2745000123977661},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.2736999988555908},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.2540999948978424},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23969710","doi":"https://doi.org/10.5281/zenodo.23969710","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969710","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23969711","doi":"https://doi.org/10.5281/zenodo.23969711","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969711","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23969710","doi":"https://doi.org/10.5281/zenodo.23969710","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969710","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W7163588936","https://openalex.org/W7163758505","https://openalex.org/W7223057038","https://openalex.org/W7225263519"],"related_works":["https://openalex.org/W7100998246","https://openalex.org/W3217071557","https://openalex.org/W2083846596","https://openalex.org/W2906420965","https://openalex.org/W2379207435","https://openalex.org/W2735284112","https://openalex.org/W2090628436","https://openalex.org/W2076265565","https://openalex.org/W2164018961","https://openalex.org/W2054454005"],"abstract_inverted_index":{"This":[0],"source-scoped":[1],"mathematical":[2,93],"preprint":[3],"examines":[4],"an":[5,53],"isotropic":[6],"positive-flux":[7,72],"nonlinear":[8],"diffusion":[9],"prototype":[10],"associated":[11],"with":[12],"corrected":[13],"BIG-B4.1/B4.3":[14],"numerical":[15],"studies.":[16],"For":[17],"specified":[18],"bounded":[19],"nonnegative":[20],"data":[21,124],"and":[22,35,41,56,64,132,144,148],"Neumann":[23,49],"weak":[24],"conditions,":[25],"it":[26],"documents":[27],"a":[28,37,42,47,79,87,109,126,151],"theorem-dependent":[29],"weak-existence":[30],"construction,":[31],"same-operator":[32],"L1":[33],"contraction":[34],"uniqueness,":[36],"fixed-coefficient":[38],"zero-regularizer":[39],"limit,":[40],"simultaneous":[43],"double-degeneracy":[44],"limit":[45],"to":[46,150],"porous-medium":[48],"equation.":[50],"It":[51],"preserves":[52],"energy-estimate":[54],"counterexample":[55],"the":[57,105],"distinction":[58],"between":[59],"finite-grid":[60],"near-quadratic":[61],"layer":[62],"fits":[63],"strict":[65,138],"compact":[66],"support.":[67],"These":[68],"results":[69],"concern":[70],"one":[71],"model,":[73],"not":[74,97],"historically":[75],"printed":[76],"negative-flux":[77],"equations,":[78],"universal":[80],"BIG":[81],"law,":[82],"independent":[83],"physical":[84,167],"validation,":[85],"or":[86,165],"new":[88],"general":[89],"PDE":[90],"method.":[91],"External":[92],"peer":[94],"review":[95],"has":[96],"been":[98],"performed.":[99],"The":[100,134],"English":[101],"manuscript":[102],"is":[103,108],"authoritative;":[104],"Japanese":[106],"PDF":[107],"reference":[110],"translation.":[111],"A":[112],"short":[113],"prepublication":[114],"clarification":[115],"separates":[116],"forward":[117],"uniqueness":[118],"from":[119],"coefficient":[120],"identifiability:":[121],"spatially":[122],"uniform":[123],"produce":[125],"coefficient-independent":[127],"solution":[128],"for":[129],"any":[130],"gamma>0":[131],"epsilon>=0.":[133],"paper":[135],"also":[136],"distinguishes":[137],"support,":[139],"level":[140],"sets,":[141],"response-sign":[142],"boundaries,":[143,147],"finite-precision":[145],"observational":[146],"refers":[149],"separately":[152],"deposited":[153],"but":[154],"unreviewed":[155],"C19-P92":[156],"history-and-steel":[157],"benchmark":[158],"(Zenodo":[159],"10.5281/zenodo.23965486)":[160],"without":[161],"equating":[162],"its":[163],"models":[164],"claiming":[166],"validation.":[168]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}