{"id":"https://openalex.org/W2543122328","doi":"https://doi.org/10.1109/iske.2010.5680803","title":"Well-posedness of flows in networks with output","display_name":"Well-posedness of flows in networks with output","publication_year":2010,"publication_date":"2010-11-01","ids":{"openalex":"https://openalex.org/W2543122328","doi":"https://doi.org/10.1109/iske.2010.5680803","mag":"2543122328"},"language":"en","primary_location":{"id":"doi:10.1109/iske.2010.5680803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iske.2010.5680803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Intelligent Systems and Knowledge Engineering","raw_type":"proceedings-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/A5012854401","display_name":"Fu Zheng","orcid":"https://orcid.org/0000-0001-6129-9251"},"institutions":[{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fu Zheng","raw_affiliation_strings":["Department of Mathematics, Bohai University, Jinzhou, Liaoning, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bohai University, Jinzhou, Liaoning, China","institution_ids":["https://openalex.org/I97009856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012854401"],"corresponding_institution_ids":["https://openalex.org/I97009856"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.62672646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"98","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10524","display_name":"Traffic control and management","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.707588255405426},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5676564574241638},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4956105947494507},{"id":"https://openalex.org/keywords/terminology","display_name":"Terminology","score":0.4778446853160858},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.464158833026886},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.4492380917072296},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4482342600822449},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4467850923538208},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44139552116394043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4406455457210541},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4170162081718445},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37163224816322327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3567352890968323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3245725631713867},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3225288987159729},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24357903003692627},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20792517066001892},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12119749188423157}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.707588255405426},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5676564574241638},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4956105947494507},{"id":"https://openalex.org/C547195049","wikidata":"https://www.wikidata.org/wiki/Q1725664","display_name":"Terminology","level":2,"score":0.4778446853160858},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.464158833026886},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4492380917072296},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4482342600822449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4467850923538208},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44139552116394043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4406455457210541},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4170162081718445},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37163224816322327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3567352890968323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3245725631713867},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3225288987159729},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24357903003692627},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20792517066001892},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12119749188423157},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iske.2010.5680803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iske.2010.5680803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Intelligent Systems and Knowledge Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W10063980","https://openalex.org/W1521302685","https://openalex.org/W1568807173","https://openalex.org/W1982820061","https://openalex.org/W1986760902","https://openalex.org/W2017197498","https://openalex.org/W2031833616","https://openalex.org/W2040334927","https://openalex.org/W2148621751","https://openalex.org/W2161290048","https://openalex.org/W2272287362","https://openalex.org/W2350600654","https://openalex.org/W2488007404","https://openalex.org/W2798588639"],"related_works":["https://openalex.org/W2350593162","https://openalex.org/W2390350206","https://openalex.org/W1969477129","https://openalex.org/W2921208823","https://openalex.org/W2353483812","https://openalex.org/W2131808775","https://openalex.org/W2130038259","https://openalex.org/W2360756181","https://openalex.org/W2374093222","https://openalex.org/W2359533638"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"the":[3,34,54,60],"transport":[4],"processes":[5],"in":[6,16],"networks":[7],"with":[8],"space":[9],"dependent":[10],"velocities":[11],"on":[12,46],"edges":[13],"and":[14,25,39],"output":[15],"a":[17,47,64],"node":[18],"was":[19,31,44,56],"discussed":[20],"by":[21,58],"combining":[22],"functional":[23],"analytical":[24],"graph":[26],"theoretical":[27],"methods.":[28],"This":[29],"problem":[30,43],"converted":[32],"into":[33],"terminology":[35],"of":[36,53],"operator":[37,62],"semigroups":[38],"an":[40],"abstract":[41],"Cauchy":[42],"obtained":[45],"suitable":[48],"Banach":[49],"space.":[50],"The":[51],"well-posedness":[52],"system":[55,61],"given":[57],"showing":[59],"generates":[63],"c":[65],"<sub":[66],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[68],"semigroups.":[69]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}