{"id":"https://openalex.org/W4362643627","doi":"https://doi.org/10.48550/arxiv.2304.00595","title":"Optimal Mass Transport over the Euler Equation","display_name":"Optimal Mass Transport over the Euler Equation","publication_year":2023,"publication_date":"2023-04-02","ids":{"openalex":"https://openalex.org/W4362643627","doi":"https://doi.org/10.48550/arxiv.2304.00595"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2304.00595","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.00595","pdf_url":"https://arxiv.org/pdf/2304.00595","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2304.00595","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011466688","display_name":"Charlie Yan","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yan, Charlie","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021159806","display_name":"Iman Nodozi","orcid":"https://orcid.org/0009-0006-9407-8934"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nodozi, Iman","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029714029","display_name":"Abhishek Halder","orcid":"https://orcid.org/0000-0002-1509-5853"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Halder, Abhishek","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011466688"],"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9643999934196472,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/angular-velocity","display_name":"Angular velocity","score":0.6101168394088745},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5822938680648804},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5467017292976379},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5378642678260803},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5003256797790527},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.49285316467285156},{"id":"https://openalex.org/keywords/spacecraft","display_name":"Spacecraft","score":0.4831087589263916},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4664057791233063},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41139721870422363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41113558411598206},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38816654682159424},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.384752094745636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3482266366481781},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.331945538520813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32343125343322754},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25142526626586914},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16620558500289917},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09061640501022339}],"concepts":[{"id":"https://openalex.org/C5594486","wikidata":"https://www.wikidata.org/wiki/Q161635","display_name":"Angular velocity","level":2,"score":0.6101168394088745},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5822938680648804},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5467017292976379},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5378642678260803},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5003256797790527},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.49285316467285156},{"id":"https://openalex.org/C29829512","wikidata":"https://www.wikidata.org/wiki/Q40218","display_name":"Spacecraft","level":2,"score":0.4831087589263916},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4664057791233063},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41139721870422363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41113558411598206},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38816654682159424},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.384752094745636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3482266366481781},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.331945538520813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32343125343322754},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25142526626586914},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16620558500289917},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09061640501022339},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2304.00595","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.00595","pdf_url":"https://arxiv.org/pdf/2304.00595","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2304.00595","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2304.00595","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2304.00595","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.00595","pdf_url":"https://arxiv.org/pdf/2304.00595","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4362643627.pdf","grobid_xml":"https://content.openalex.org/works/W4362643627.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W2354231916","https://openalex.org/W3182767856","https://openalex.org/W2162140574","https://openalex.org/W4366835705","https://openalex.org/W2354073393","https://openalex.org/W2361009070","https://openalex.org/W2121457398","https://openalex.org/W2073563998"],"abstract_inverted_index":{"We":[0,59,78],"consider":[1],"the":[2,8,15,21,32,68,86,96,99],"finite":[3],"horizon":[4],"optimal":[5,69,100],"steering":[6],"of":[7,34,42,50,67,85,98],"joint":[9],"state":[10],"probability":[11],"distribution":[12],"subject":[13],"to":[14,30],"angular":[16,48],"velocity":[17],"dynamics":[18],"governed":[19],"by":[20],"Euler":[22],"equation.":[23],"The":[24],"problem":[25,63,73],"and":[26,40,56,82,89,92],"its":[27],"solution":[28],"amounts":[29],"controlling":[31],"spin":[33],"a":[35,51],"rigid":[36],"body":[37],"via":[38],"feedback,":[39],"is":[41,64],"practical":[43],"importance,":[44],"for":[45,95],"example,":[46],"in":[47],"stabilization":[49],"spacecraft":[52],"with":[53,74],"stochastic":[54],"initial":[55],"terminal":[57],"states.":[58],"clarify":[60],"how":[61],"this":[62],"an":[65],"instance":[66],"mass":[70],"transport":[71],"(OMT)":[72],"bilinear":[75],"prior":[76],"drift.":[77],"deduce":[79],"both":[80],"static":[81],"dynamic":[83],"versions":[84],"Eulerian":[87],"OMT,":[88],"provide":[90],"analytical":[91],"numerical":[93],"results":[94],"synthesis":[97],"controller.":[101]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}