{"id":"https://openalex.org/W2003912946","doi":"https://doi.org/10.1137/s0036139996302082","title":"Modeling of Transport Processes in the Presence of Substance-Locking Effects","display_name":"Modeling of Transport Processes in the Presence of Substance-Locking Effects","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2003912946","doi":"https://doi.org/10.1137/s0036139996302082","mag":"2003912946"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139996302082","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996302082","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/A5014213310","display_name":"M. Yu. Zhukov","orcid":"https://orcid.org/0000-0002-2870-0397"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mikhail Yu. Zhukov","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025798621","display_name":"Pier Giorgio Righetti","orcid":"https://orcid.org/0000-0001-8321-9187"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pier Giorgio Righetti","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023986894","display_name":"Sergey V. Ermakov","orcid":"https://orcid.org/0009-0009-7814-8877"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sergey V. Ermakov","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014213310"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10597659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"2","first_page":"743","last_page":"776"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12850","display_name":"Field-Flow Fractionation Techniques","score":0.968999981880188,"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"}},"topics":[{"id":"https://openalex.org/T12850","display_name":"Field-Flow Fractionation Techniques","score":0.968999981880188,"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/T13517","display_name":"Environmental and Industrial Safety","score":0.9426000118255615,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13094","display_name":"Mining and Gasification Technologies","score":0.921999990940094,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.8351283669471741},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6623755693435669},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.6540176272392273},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.5849052667617798},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5718667507171631},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.5181006789207458},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.49346745014190674},{"id":"https://openalex.org/keywords/mass-transport","display_name":"Mass transport","score":0.4814726412296295},{"id":"https://openalex.org/keywords/mass-transportation","display_name":"Mass transportation","score":0.47541314363479614},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4563156068325043},{"id":"https://openalex.org/keywords/stationary-state","display_name":"Stationary state","score":0.4378209114074707},{"id":"https://openalex.org/keywords/ficks-laws-of-diffusion","display_name":"Fick's laws of diffusion","score":0.4272914528846741},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4229556620121002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39865997433662415},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3883957862854004},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37141892313957214},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3474186360836029},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.13910284638404846}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.8351283669471741},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6623755693435669},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.6540176272392273},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.5849052667617798},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5718667507171631},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.5181006789207458},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.49346745014190674},{"id":"https://openalex.org/C2989209122","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Mass transport","level":2,"score":0.4814726412296295},{"id":"https://openalex.org/C2993719964","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Mass transportation","level":3,"score":0.47541314363479614},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4563156068325043},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.4378209114074707},{"id":"https://openalex.org/C53403541","wikidata":"https://www.wikidata.org/wiki/Q856634","display_name":"Fick's laws of diffusion","level":3,"score":0.4272914528846741},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4229556620121002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39865997433662415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3883957862854004},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37141892313957214},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3474186360836029},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.13910284638404846},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C539828613","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Public transport","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C61696701","wikidata":"https://www.wikidata.org/wiki/Q770766","display_name":"Engineering physics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139996302082","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996302082","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":[{"id":"https://metadata.un.org/sdg/15","score":0.5799999833106995,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W168830532","https://openalex.org/W599898694","https://openalex.org/W635191314","https://openalex.org/W1601100443","https://openalex.org/W1628067510","https://openalex.org/W1759894779","https://openalex.org/W1982227924","https://openalex.org/W1985666148","https://openalex.org/W1986788497","https://openalex.org/W1996106164","https://openalex.org/W2011669849","https://openalex.org/W2030121802","https://openalex.org/W2072297656","https://openalex.org/W2075027075","https://openalex.org/W2096129790","https://openalex.org/W2108364085","https://openalex.org/W2118364674","https://openalex.org/W2128051206","https://openalex.org/W2331617037","https://openalex.org/W3036269677","https://openalex.org/W3216299223"],"related_works":["https://openalex.org/W2115887820","https://openalex.org/W1965318077","https://openalex.org/W2610319723","https://openalex.org/W4300925247","https://openalex.org/W4310712696","https://openalex.org/W3002473805","https://openalex.org/W218826270","https://openalex.org/W109815998","https://openalex.org/W2036568658","https://openalex.org/W2129582230"],"abstract_inverted_index":{"Mass-transport":[0],"processes":[1],"under":[2,104],"the":[3,47,61,80,85,105,116,132,136],"action":[4],"of":[5,18,29,49,59,76,87,99,107,115,149],"an":[6,108,150],"external":[7,109],"field":[8],"in":[9,84,111,138],"a":[10,50,88,100,113],"medium":[11],"with":[12,65],"piecewise-constant":[13],"properties":[14],"and":[15,24,71],"special":[16],"equations":[17],"state":[19],"are":[20,38],"investigated":[21],"both":[22],"analytically":[23],"numerically.":[25],"An":[26,97],"analytical":[27],"solution":[28,81],"hyperbolic":[30],"conservation":[31],"law":[32],"on":[33,79],"which":[34,112],"some":[35],"algebraic":[36],"restrictions":[37],"imposed":[39],"is":[40,44,69,92,118,123],"presented.":[41,124],"Special":[42],"emphasis":[43],"given":[45],"to":[46],"construction":[48],"correct":[51],"mathematical":[52],"model":[53],"for":[54,131,142],"transport":[55],"processes.":[56],"The":[57,74],"technique":[58],"solving":[60],"generalized":[62],"Riemann":[63],"problem":[64],"two":[66],"initial":[67],"discontinuities":[68,122],"developed":[70],"rigorously":[72],"revised.":[73],"influence":[75],"diffusion":[77],"effects":[78],"profile,":[82],"especially":[83],"vicinity":[86],"stationary":[89,121],"contact":[90],"discontinuity,":[91],"studied":[93],"by":[94,135,147],"numerical":[95],"methods.":[96],"example":[98],"real":[101],"mass-transport":[102],"process":[103],"impact":[106],"force":[110],"part":[114],"substance":[117],"entrapped":[119],"between":[120],"This":[125],"physical":[126],"effect":[127],"was":[128],"observed":[129],"experimentally":[130],"first":[133],"time":[134],"authors":[137],"electrophoresis---a":[139],"separation":[140],"method":[141],"chemically":[143],"reactive":[144],"multicomponent":[145],"mixtures":[146],"means":[148],"applied":[151],"electric":[152],"field.":[153]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}