{"id":"https://openalex.org/W4394812387","doi":"https://doi.org/10.1137/23m1552905","title":"Moving Singularities of the Forced Fisher\u2013KPP Equation: An Asymptotic Approach","display_name":"Moving Singularities of the Forced Fisher\u2013KPP Equation: An Asymptotic Approach","publication_year":2024,"publication_date":"2024-04-15","ids":{"openalex":"https://openalex.org/W4394812387","doi":"https://doi.org/10.1137/23m1552905"},"language":"en","primary_location":{"id":"doi:10.1137/23m1552905","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1552905","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1137/23m1552905","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060975850","display_name":"Markus Kaczvinszki","orcid":"https://orcid.org/0000-0003-2341-6108"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Markus Kaczvinszki","raw_affiliation_strings":["Institute of Fluid Mechanics and Heat Transfer, TU Wien, 1060 Vienna Austria"],"raw_orcid":"https://orcid.org/0000-0003-2341-6108","affiliations":[{"raw_affiliation_string":"Institute of Fluid Mechanics and Heat Transfer, TU Wien, 1060 Vienna Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083904404","display_name":"Stefan Braun","orcid":"https://orcid.org/0000-0002-7145-1103"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Braun","raw_affiliation_strings":["Institute of Fluid Mechanics and Heat Transfer, TU Wien, 1060 Vienna Austria"],"raw_orcid":"https://orcid.org/0000-0002-7145-1103","affiliations":[{"raw_affiliation_string":"Institute of Fluid Mechanics and Heat Transfer, TU Wien, 1060 Vienna Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060975850"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.5163,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66023263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"84","issue":"2","first_page":"710","last_page":"731"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9934999942779541,"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/gravitational-singularity","display_name":"Gravitational singularity","score":0.6425459384918213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6419985890388489},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5876567959785461},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5650043487548828},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5537551045417786},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.4730616807937622},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4608570635318756},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.44795337319374084},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4375787079334259},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.4316330850124359},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.42870351672172546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3101283311843872},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08823496103286743}],"concepts":[{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6425459384918213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6419985890388489},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5876567959785461},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5650043487548828},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5537551045417786},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.4730616807937622},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4608570635318756},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.44795337319374084},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4375787079334259},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.4316330850124359},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.42870351672172546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3101283311843872},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08823496103286743},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1552905","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1552905","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/23m1552905","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1552905","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1258244931","display_name":null,"funder_award_id":"P 31873-N32","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W51500993","https://openalex.org/W1482890868","https://openalex.org/W1490180844","https://openalex.org/W1528840936","https://openalex.org/W1805381866","https://openalex.org/W2009834199","https://openalex.org/W2009940628","https://openalex.org/W2015612595","https://openalex.org/W2059356126","https://openalex.org/W2062651557","https://openalex.org/W2065260831","https://openalex.org/W2079949023","https://openalex.org/W2088302643","https://openalex.org/W2135385102","https://openalex.org/W2148899926","https://openalex.org/W3082758513","https://openalex.org/W3169472428","https://openalex.org/W4317931764"],"related_works":["https://openalex.org/W4287265842","https://openalex.org/W2726339783","https://openalex.org/W2546079289","https://openalex.org/W2095039895","https://openalex.org/W4302011306","https://openalex.org/W2022135995","https://openalex.org/W2022448890","https://openalex.org/W2148110192","https://openalex.org/W2963052782","https://openalex.org/W1668363177"],"abstract_inverted_index":{".The":[0],"creation":[1],"of":[2,12,31,41,46,78,85,102,131,139,152],"hairpin":[3],"or":[4],"lambda":[5],"vortices,":[6],"typical":[7],"for":[8],"the":[9,13,32,38,47,50,54,67,83,86,100,110,124,137,150,153],"early":[10],"stages":[11],"laminar-turbulent":[14],"transition":[15,111],"process":[16],"in":[17,22,53,90,136],"various":[18],"boundary":[19],"layer":[20],"flows,":[21],"some":[23],"sense":[24],"may":[25],"be":[26],"associated":[27],"with":[28,99,144],"blow-up":[29,74,155],"solutions":[30],"Fisher\u2013Kolmogorov\u2013Petrovsky\u2013Piskunov":[33],"equation.":[34],"In":[35],"contrast":[36],"to":[37,58],"usual":[39],"applications":[40],"this":[42],"nonlinear":[43],"evolution":[44],"equation":[45],"reaction-diffusion":[48],"type,":[49],"solution":[51,68],"quantity":[52],"present":[55],"context":[56],"needs":[57],"stay":[59],"neither":[60],"bounded":[61],"nor":[62],"positive.":[63],"We":[64],"focus":[65],"on":[66],"behavior":[69],"beyond":[70],"a":[71,129,140,145],"finite-time":[72],"point":[73],"event,":[75],"which":[76],"consists":[77],"two":[79],"moving":[80],"singularities":[81],"(representing":[82],"cores":[84],"vortex":[87],"legs)":[88],"propagating":[89],"opposite":[91],"directions,":[92],"and":[93,114,133],"their":[94],"initial":[95],"motion":[96],"is":[97],"determined":[98],"method":[101],"matched":[103],"asymptotic":[104,119],"expansions.":[105],"After":[106],"resolving":[107],"subtleties":[108],"concerning":[109],"between":[112],"logarithmic":[113],"algebraic":[115],"expansion":[116],"terms":[117],"regarding":[118],"layers,":[120],"we":[121],"find":[122],"that":[123],"internal":[125],"singularity":[126],"structure":[127],"resembles":[128],"combination":[130],"second-":[132],"first-order":[134],"poles":[135],"form":[138],"singular":[141],"traveling":[142],"wave":[143],"time-dependent":[146],"speed":[147],"imprinted":[148],"through":[149],"characteristics":[151],"preceding":[154],"event.Keywordssingularity":[156],"trackingnonlinear":[157],"dynamicsasymptotic":[158],"analysisChebyshev":[159],"spectral":[160],"collocationlaminar-turbulent":[161],"transitionMSC":[162],"codes35C2076M4576D1035K5776F0665L10":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}