{"id":"https://openalex.org/W7159666341","doi":"https://doi.org/10.48550/arxiv.2604.27286","title":"Thermodynamically Constrained Information Geometric Regularization for Compressible Flows","display_name":"Thermodynamically Constrained Information Geometric Regularization for Compressible Flows","publication_year":2026,"publication_date":"2026-04-30","ids":{"openalex":"https://openalex.org/W7159666341","doi":"https://doi.org/10.48550/arxiv.2604.27286"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.27286","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27286","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.27286","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134963417","display_name":"Seth Taylor","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Taylor, Seth","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134993123","display_name":"Raymond J. Spiteri","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Spiteri, Raymond J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134979042","display_name":"St\u00e9phane Gaudreault","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gaudreault, St\u00e9phane","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.310699999332428,"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"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.310699999332428,"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"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.16519999504089355,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.08160000294446945,"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/information-geometry","display_name":"Information geometry","score":0.5404000282287598},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.5388000011444092},{"id":"https://openalex.org/keywords/barotropic-fluid","display_name":"Barotropic fluid","score":0.43560001254081726},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.41749998927116394},{"id":"https://openalex.org/keywords/boltzmanns-entropy-formula","display_name":"Boltzmann's entropy formula","score":0.3824000060558319},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.3695000112056732},{"id":"https://openalex.org/keywords/thermodynamic-state","display_name":"Thermodynamic state","score":0.3684999942779541},{"id":"https://openalex.org/keywords/metric-tensor","display_name":"Metric tensor","score":0.3463999927043915},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.3434000015258789},{"id":"https://openalex.org/keywords/inviscid-flow","display_name":"Inviscid flow","score":0.3434000015258789}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6139000058174133},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.5404000282287598},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5388000011444092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48339998722076416},{"id":"https://openalex.org/C29712183","wikidata":"https://www.wikidata.org/wiki/Q739293","display_name":"Barotropic fluid","level":2,"score":0.43560001254081726},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.388700008392334},{"id":"https://openalex.org/C33932047","wikidata":"https://www.wikidata.org/wiki/Q375553","display_name":"Boltzmann's entropy formula","level":3,"score":0.3824000060558319},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.3695000112056732},{"id":"https://openalex.org/C12668873","wikidata":"https://www.wikidata.org/wiki/Q230875","display_name":"Thermodynamic state","level":3,"score":0.3684999942779541},{"id":"https://openalex.org/C8466233","wikidata":"https://www.wikidata.org/wiki/Q757269","display_name":"Metric tensor","level":3,"score":0.3463999927043915},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.3407999873161316},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.33649998903274536},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C169391604","wikidata":"https://www.wikidata.org/wiki/Q7604402","display_name":"Statistical manifold","level":5,"score":0.3237000107765198},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.3206999897956848},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.320499986410141},{"id":"https://openalex.org/C14380042","wikidata":"https://www.wikidata.org/wiki/Q503327","display_name":"Thermodynamic system","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C105561566","wikidata":"https://www.wikidata.org/wiki/Q1371213","display_name":"Affine connection","level":3,"score":0.29679998755455017},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.29019999504089355},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.2858999967575073},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C30342001","wikidata":"https://www.wikidata.org/wiki/Q172280","display_name":"Ideal gas","level":2,"score":0.28139999508857727},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.275299996137619},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C32209215","wikidata":"https://www.wikidata.org/wiki/Q5535483","display_name":"Geometric flow","level":3,"score":0.26759999990463257},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25949999690055847},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.25589999556541443}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.27286","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27286","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.27286","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27286","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[{"score":0.6410275101661682,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"construct":[1],"and":[2,16,47,104,133,147],"analyze":[3],"a":[4,37,56,64,80,84,93,158],"thermodynamic":[5,38,53,159],"extension":[6],"of":[7,14,45,66,157,174],"the":[8,27,32,41,52,59,67,97,105,110,125,140,153,172],"recently":[9],"proposed":[10],"information":[11,72,111],"geometric":[12,73,112],"regularization":[13],"Cao":[15],"Sch\u00e4fer.":[17],"The":[18,88],"construction":[19],"extends":[20],"their":[21],"shock-mitigating":[22],"Hessian":[23,81],"metric":[24],"geometry":[25,95],"using":[26,70,92],"Shannon":[28],"entropy":[29,49],"to":[30,55,124,139],"constrain":[31],"regularized":[33,68],"motion":[34],"based":[35,76],"on":[36,77,79],"length.":[39],"Reformulating":[40],"equations":[42,69],"in":[43,58,145,166],"terms":[44],"mass":[46],"specific":[48],"explicitly":[50],"connects":[51],"state":[54],"position":[57],"diffeomorphism":[60],"group,":[61],"allowing":[62],"for":[63,96],"derivation":[65],"an":[71,120,134,175],"mechanics":[74],"formalism":[75],"geodesics":[78],"manifold":[82],"with":[83],"dual":[85],"affine":[86],"connection.":[87],"dynamics":[89],"are":[90],"defined":[91],"pullback":[94],"Levi--Civita":[98],"connection,":[99],"describing":[100,109],"constrained":[101],"geodesic":[102],"motion,":[103],"cubic":[106],"Amari--Chentsov":[107],"tensor":[108,123],"correction.":[113],"This":[114],"new":[115],"compressible":[116],"fluid":[117],"model":[118],"introduces":[119],"anisotropic":[121],"stress":[122],"momentum":[126],"equation":[127,137],"that":[128,152],"vanishes":[129],"along":[130],"isentropic":[131],"directions":[132],"additional":[135],"elliptic":[136],"coupled":[138],"barotropic":[141],"regularization.":[142,177],"Numerical":[143],"simulations":[144],"one":[146],"two":[148],"spatial":[149],"dimensions":[150],"demonstrate":[151],"geometrically":[154],"consistent":[155],"incorporation":[156],"constraint":[160],"mitigates":[161],"cusp":[162],"singularities":[163],"previously":[164],"observed":[165],"other":[167],"approaches":[168],"while":[169],"still":[170],"maintaining":[171],"benefits":[173],"inviscid":[176]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-02T00:00:00"}