{"id":"https://openalex.org/W2999137015","doi":"https://doi.org/10.1137/19m1243294","title":"From Nonlocal to Classical Shigesada--Kawasaki--Teramoto Systems: Triangular Case with Bounded Coefficients","display_name":"From Nonlocal to Classical Shigesada--Kawasaki--Teramoto Systems: Triangular Case with Bounded Coefficients","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2999137015","doi":"https://doi.org/10.1137/19m1243294","mag":"2999137015"},"language":"en","primary_location":{"id":"doi:10.1137/19m1243294","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1243294","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03914149","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040818448","display_name":"Ayman Moussa","orcid":"https://orcid.org/0000-0001-5802-6797"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ayman Moussa","raw_affiliation_strings":["SU - Sorbonne Universite\u0301 (21 rue de l\u2019\u00c9cole de m\u00e9decine - 75006 Paris - France)","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"affiliations":[{"raw_affiliation_string":"SU - Sorbonne Universite\u0301 (21 rue de l\u2019\u00c9cole de m\u00e9decine - 75006 Paris - France)","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040818448"],"corresponding_institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"],"apc_list":null,"apc_paid":null,"fwci":2.6316,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89708061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"52","issue":"1","first_page":"42","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9991000294685364,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9991000294685364,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9987000226974487,"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":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8703334331512451},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7318395376205444},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6102323532104492},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5860303640365601},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5771749019622803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5499838590621948},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5301310420036316},{"id":"https://openalex.org/keywords/dirac","display_name":"Dirac (video compression format)","score":0.4614063799381256},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4525843560695648},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.434631884098053},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4255313277244568}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8703334331512451},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7318395376205444},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6102323532104492},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5860303640365601},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5771749019622803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5499838590621948},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5301310420036316},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.4614063799381256},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4525843560695648},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.434631884098053},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4255313277244568},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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":"doi:10.1137/19m1243294","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1243294","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03914149v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03914149","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2020, 52 (1), pp.42-64. &#x27E8;10.1137/19M1243294&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03914149v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03914149","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2020, 52 (1), pp.42-64. &#x27E8;10.1137/19M1243294&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4357590839","display_name":null,"funder_award_id":"ANR-13-BS01-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1492055613","https://openalex.org/W1495228075","https://openalex.org/W1538929409","https://openalex.org/W1606100173","https://openalex.org/W1964346623","https://openalex.org/W1967421336","https://openalex.org/W1970661866","https://openalex.org/W1973118029","https://openalex.org/W1993117405","https://openalex.org/W2002918570","https://openalex.org/W2005141382","https://openalex.org/W2014205890","https://openalex.org/W2026570637","https://openalex.org/W2028413315","https://openalex.org/W2033862281","https://openalex.org/W2035136471","https://openalex.org/W2055885872","https://openalex.org/W2059528082","https://openalex.org/W2062427321","https://openalex.org/W2066496593","https://openalex.org/W2071771640","https://openalex.org/W2079426764","https://openalex.org/W2081225921","https://openalex.org/W2082734651","https://openalex.org/W2100002076","https://openalex.org/W2105582005","https://openalex.org/W2106723152","https://openalex.org/W2117078996","https://openalex.org/W2130513524","https://openalex.org/W2151539483","https://openalex.org/W2245144972","https://openalex.org/W2314764767","https://openalex.org/W2318816482","https://openalex.org/W2508853143","https://openalex.org/W2527463456","https://openalex.org/W2592848977","https://openalex.org/W2724984944","https://openalex.org/W2963133235","https://openalex.org/W2963277041","https://openalex.org/W3100681013","https://openalex.org/W4300847804"],"related_works":["https://openalex.org/W2487640660","https://openalex.org/W2612526717","https://openalex.org/W2121543990","https://openalex.org/W2402800040","https://openalex.org/W4252969132","https://openalex.org/W2000020320","https://openalex.org/W2805799113","https://openalex.org/W3006682748","https://openalex.org/W1981078319","https://openalex.org/W4387315838"],"abstract_inverted_index":{"This":[0],"paper":[1],"solves":[2],"partially":[3],"a":[4,49,85],"question":[5],"suggested":[6],"by":[7,44],"Fontbona":[8,45],"and":[9,32,46,55],"M\u00e9l\u00e9ard.":[10],"The":[11],"issue":[12],"is":[13,82,95],"to":[14,65],"obtain":[15],"rigorously":[16],"cross-diffusion":[17,31],"systems":[18,27,54,76],"\u00e0":[19],"la":[20],"Shigesada--Kawasaki--Teramoto":[21],"as":[22,60],"the":[23,30,40,57,61,71,91,98],"limit":[24],"of":[25,52,73,88,97,102],"relaxed":[26],"in":[28,70],"which":[29,94],"reaction":[33],"coefficients":[34],"are":[35],"nonlocal.":[36],"We":[37],"start":[38],"from":[39],"existence":[41],"result":[42,87],"established":[43],"M\u00e9l\u00e9ard":[47],"for":[48,90],"general":[50],"class":[51],"nonlocal":[53],"study":[56],"corresponding":[58],"asymptotic":[59],"convolution":[62],"kernels":[63],"tend":[64],"Dirac":[66],"masses,":[67],"but":[68],"only":[69],"case":[72],"(strictly)":[74],"triangular":[75],"with":[77],"bounded":[78],"coefficients.":[79],"Our":[80],"approach":[81],"based":[83],"on":[84],"new":[86],"compactness":[89],"Kolmogorov":[92],"equation,":[93],"reminiscent":[96],"celebrated":[99],"duality":[100],"lemma":[101],"Michel":[103],"Pierre.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
