{"id":"https://openalex.org/W1991309450","doi":"https://doi.org/10.1137/s0036139994271534","title":"The Conservation Law $\\partial _y u + \\partial _x \\sqrt {1 - u^2 } = 0$ and Deformations of Fibre-Reinforced Materials","display_name":"The Conservation Law $\\partial _y u + \\partial _x \\sqrt {1 - u^2 } = 0$ and Deformations of Fibre-Reinforced Materials","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W1991309450","doi":"https://doi.org/10.1137/s0036139994271534","mag":"1991309450"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139994271534","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139994271534","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058698689","display_name":"Rustum Choksi","orcid":"https://orcid.org/0000-0003-2419-9520"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rustum Choksi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058698689"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15213358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"6","first_page":"1539","last_page":"1560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.996399998664856,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.996399998664856,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.965399980545044,"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/conservation-law","display_name":"Conservation law","score":0.8707053065299988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5940001010894775},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5410143136978149},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48842424154281616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47217339277267456},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.46754899621009827},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3533678352832794},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3508593738079071},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29654860496520996},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12487387657165527},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09316471219062805}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8707053065299988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5940001010894775},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5410143136978149},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48842424154281616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47217339277267456},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.46754899621009827},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3533678352832794},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3508593738079071},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29654860496520996},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12487387657165527},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09316471219062805},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139994271534","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139994271534","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2011669849","https://openalex.org/W2045384647","https://openalex.org/W2054594940","https://openalex.org/W2562924423","https://openalex.org/W2923314695","https://openalex.org/W4239495740","https://openalex.org/W4243839716"],"related_works":["https://openalex.org/W1995118522","https://openalex.org/W64916076","https://openalex.org/W2090020940","https://openalex.org/W4364366001","https://openalex.org/W1072895066","https://openalex.org/W2894005322","https://openalex.org/W2565229889","https://openalex.org/W4213003931","https://openalex.org/W2607078461","https://openalex.org/W2383959235"],"abstract_inverted_index":{"The":[0],"conservation":[1,53,77],"law":[2,78],"$\\partial":[3],"_y":[4],"u":[5],"+":[6],"\\partial":[7],"_x":[8],"\\sqrt":[9],"{1":[10],"-":[11],"u^2":[12],"}":[13],"=":[14],"0$":[15],"is":[16,79,103],"found":[17],"to":[18,69,100],"govern":[19],"planar":[20],"deformations":[21,35],"of":[22,30,45,48,51,61,75,87,90],"incompressible":[23],"materials":[24],"containing":[25],"a":[26,93],"continuous":[27,94],"linear":[28],"distribution":[29],"inextensible":[31],"fibres.":[32],"Kinematically":[33],"feasible":[34],"are":[36],"discussed,":[37],"with":[38],"emphasis":[39],"on":[40,84],"admissibility":[41],"and":[42],"the":[43,49,59,70,73,85,88,101],"resolution":[44],"nonuniqueness.":[46],"Many":[47],"aspects":[50],"hyperbolic":[52],"laws":[54],"have":[55],"direct":[56],"consequences":[57],"in":[58,105],"kinematics":[60],"these":[62],"materials,":[63],"thus":[64],"providing":[65],"an":[66],"illustrative":[67],"guide":[68],"theory.":[71],"Alternatively,":[72],"study":[74],"this":[76],"geometrically":[80],"motivated":[81],"by":[82],"questions":[83],"structure":[86],"set":[89],"points":[91],"above":[92],"function":[95],"curve":[96,102],"whose":[97],"minimum":[98],"distance":[99],"achieved":[104],"several":[106],"places.":[107]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
