{"id":"https://openalex.org/W2085331540","doi":"https://doi.org/10.1137/050634402","title":"Convergence of Strong Shock in a Van der Waals Gas","display_name":"Convergence of Strong Shock in a Van der Waals Gas","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2085331540","doi":"https://doi.org/10.1137/050634402","mag":"2085331540"},"language":"en","primary_location":{"id":"doi:10.1137/050634402","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050634402","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/A5034712829","display_name":"Rajan Arora","orcid":"https://orcid.org/0000-0003-1109-122X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rajan Arora","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101789078","display_name":"V. D. Sharma","orcid":"https://orcid.org/0000-0001-8449-2732"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. D. Sharma","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034712829"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3526,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.78599555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"66","issue":"5","first_page":"1825","last_page":"1837"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9980999827384949,"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":0.9980999827384949,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.993399977684021,"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/implosion","display_name":"Implosion","score":0.9584751725196838},{"id":"https://openalex.org/keywords/van-der-waals-force","display_name":"van der Waals force","score":0.7305861711502075},{"id":"https://openalex.org/keywords/van-der-waals-equation","display_name":"Van der Waals equation","score":0.7037618160247803},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6905006170272827},{"id":"https://openalex.org/keywords/adiabatic-process","display_name":"Adiabatic process","score":0.6457783579826355},{"id":"https://openalex.org/keywords/shock-wave","display_name":"Shock wave","score":0.6388400793075562},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5241968035697937},{"id":"https://openalex.org/keywords/shock","display_name":"Shock (circulatory)","score":0.4747995436191559},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4413868188858032},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.411364883184433},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.33680278062820435},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.18182730674743652},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14201989769935608},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.09980657696723938}],"concepts":[{"id":"https://openalex.org/C196046385","wikidata":"https://www.wikidata.org/wiki/Q523919","display_name":"Implosion","level":3,"score":0.9584751725196838},{"id":"https://openalex.org/C126061179","wikidata":"https://www.wikidata.org/wiki/Q189627","display_name":"van der Waals force","level":3,"score":0.7305861711502075},{"id":"https://openalex.org/C187510041","wikidata":"https://www.wikidata.org/wiki/Q254329","display_name":"Van der Waals equation","level":4,"score":0.7037618160247803},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6905006170272827},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.6457783579826355},{"id":"https://openalex.org/C70477161","wikidata":"https://www.wikidata.org/wiki/Q190688","display_name":"Shock wave","level":2,"score":0.6388400793075562},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5241968035697937},{"id":"https://openalex.org/C2781300812","wikidata":"https://www.wikidata.org/wiki/Q178061","display_name":"Shock (circulatory)","level":2,"score":0.4747995436191559},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4413868188858032},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.411364883184433},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33680278062820435},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.18182730674743652},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14201989769935608},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.09980657696723938},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/050634402","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050634402","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"},{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300014386/12","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300014386/12&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:dsapce.library.iitb.ac.in:10054/11961","is_oa":false,"landing_page_url":"http://doi.org/10.1137/050634402","pdf_url":null,"source":{"id":"https://openalex.org/S4306400899","display_name":"DSpace (IIT Bombay)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162827531","host_organization_name":"Indian Institute of Technology Bombay","host_organization_lineage":["https://openalex.org/I162827531"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:dspace.library.iitb.ac.in:10054/11961","is_oa":false,"landing_page_url":"http://dspace.library.iitb.ac.in/xmlui/handle/10054/11961","pdf_url":null,"source":{"id":"https://openalex.org/S4306400899","display_name":"DSpace (IIT Bombay)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162827531","host_organization_name":"Indian Institute of Technology Bombay","host_organization_lineage":["https://openalex.org/I162827531"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W23294652","https://openalex.org/W1601788314","https://openalex.org/W1982843747","https://openalex.org/W1986788497","https://openalex.org/W1996857474","https://openalex.org/W2086624234","https://openalex.org/W2098265567","https://openalex.org/W3011460281"],"related_works":["https://openalex.org/W2086665586","https://openalex.org/W2501113837","https://openalex.org/W2063034222","https://openalex.org/W2357497448","https://openalex.org/W2048374858","https://openalex.org/W2043948087","https://openalex.org/W3123465561","https://openalex.org/W2387549450","https://openalex.org/W2008236908","https://openalex.org/W2034573888"],"abstract_inverted_index":{"Strong":[0],"cylindrical":[1],"and":[2,76,90],"spherical":[3],"shock":[4,78],"waves,":[5],"collapsing":[6],"at":[7],"the":[8,34,38,50,53,64,68,71,77,87,91],"center":[9],"(or":[10],"axis)":[11],"of":[12,52,55,70,86],"symmetry,":[13],"are":[14,60],"studied":[15],"for":[16,40,83],"a":[17,30],"Van":[18,92],"der":[19,93],"Waals":[20,94],"gas.":[21],"The":[22,57,73],"perturbation":[23],"technique":[24],"applied":[25],"in":[26,49,67],"this":[27],"paper":[28],"provides":[29],"global":[31],"solution":[32],"to":[33],"implosion":[35],"problem,":[36],"yielding":[37],"results":[39],"Guderley\u2019s":[41],"local":[42],"self\u2010similar":[43],"solution,":[44],"which":[45],"is":[46],"valid":[47],"only":[48],"vicinity":[51,69],"center/axis":[54],"implosion.":[56],"similarity":[58],"exponents":[59],"found":[61],"along":[62],"with":[63],"corresponding":[65],"amplitudes":[66],"shock\u2010collapse.":[72],"flow":[74],"parameters":[75],"trajectory":[79],"have":[80],"been":[81],"computed":[82],"different":[84],"values":[85],"adiabatic":[88],"coefficient":[89],"excluded":[95],"volume.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
