{"id":"https://openalex.org/W3013454424","doi":"https://doi.org/10.3390/a13040077","title":"On Classical Solutions for A Kuramoto\u2013Sinelshchikov\u2013Velarde-Type Equation","display_name":"On Classical Solutions for A Kuramoto\u2013Sinelshchikov\u2013Velarde-Type Equation","publication_year":2020,"publication_date":"2020-03-28","ids":{"openalex":"https://openalex.org/W3013454424","doi":"https://doi.org/10.3390/a13040077","mag":"3013454424"},"language":"en","primary_location":{"id":"doi:10.3390/a13040077","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13040077","pdf_url":"https://www.mdpi.com/1999-4893/13/4/77/pdf?version=1586866180","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/13/4/77/pdf?version=1586866180","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052902271","display_name":"Giuseppe Maria Coclite","orcid":"https://orcid.org/0000-0001-6019-4757"},"institutions":[{"id":"https://openalex.org/I68618741","display_name":"Polytechnic University of Bari","ror":"https://ror.org/03c44v465","country_code":"IT","type":"education","lineage":["https://openalex.org/I68618741"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppe Maria Coclite","raw_affiliation_strings":["Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, 70125 Bari BA, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, 70125 Bari BA, Italy","institution_ids":["https://openalex.org/I68618741"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038198270","display_name":"Lorenzo di Ruvo","orcid":"https://orcid.org/0000-0002-4179-7867"},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo di Ruvo","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bari, 70121 Bari BA, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bari, 70121 Bari BA, Italy","institution_ids":["https://openalex.org/I5561750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052902271"],"corresponding_institution_ids":["https://openalex.org/I68618741"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":5.5257,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.96931872,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"13","issue":"4","first_page":"77","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.995199978351593,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/plane","display_name":"Plane (geometry)","score":0.6790153384208679},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.6527177691459656},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.57291179895401},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5564238429069519},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5394710898399353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5025801658630371},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4931604266166687},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.47802647948265076},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.4579552412033081},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.4228665232658386},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.41584882140159607},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4053701162338257},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4035983085632324},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3186437487602234},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2810601592063904},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.18705320358276367},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16482630372047424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13392651081085205},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0698213279247284}],"concepts":[{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6790153384208679},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.6527177691459656},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.57291179895401},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5564238429069519},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5394710898399353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5025801658630371},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4931604266166687},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.47802647948265076},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.4579552412033081},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4228665232658386},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.41584882140159607},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4053701162338257},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4035983085632324},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3186437487602234},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2810601592063904},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.18705320358276367},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16482630372047424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13392651081085205},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0698213279247284},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a13040077","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13040077","pdf_url":"https://www.mdpi.com/1999-4893/13/4/77/pdf?version=1586866180","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5e7d2a70129e429ea51b7a39d6013259","is_oa":true,"landing_page_url":"https://doaj.org/article/5e7d2a70129e429ea51b7a39d6013259","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 13, Iss 4, p 77 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/13/4/77/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/a13040077","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a13040077","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13040077","pdf_url":"https://www.mdpi.com/1999-4893/13/4/77/pdf?version=1586866180","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3013454424.pdf","grobid_xml":"https://content.openalex.org/works/W3013454424.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W100484353","https://openalex.org/W956831182","https://openalex.org/W1869546340","https://openalex.org/W1964896841","https://openalex.org/W1975770517","https://openalex.org/W1977255739","https://openalex.org/W1979722387","https://openalex.org/W1982999858","https://openalex.org/W2008687010","https://openalex.org/W2013257838","https://openalex.org/W2022231195","https://openalex.org/W2029104307","https://openalex.org/W2029752987","https://openalex.org/W2029792495","https://openalex.org/W2030355423","https://openalex.org/W2034024496","https://openalex.org/W2034390751","https://openalex.org/W2037482896","https://openalex.org/W2043383000","https://openalex.org/W2044177847","https://openalex.org/W2049967935","https://openalex.org/W2053183256","https://openalex.org/W2059691352","https://openalex.org/W2072415997","https://openalex.org/W2073061323","https://openalex.org/W2077317561","https://openalex.org/W2080044677","https://openalex.org/W2094925628","https://openalex.org/W2107634631","https://openalex.org/W2115171184","https://openalex.org/W2131868609","https://openalex.org/W2135611868","https://openalex.org/W2139886236","https://openalex.org/W2170544117","https://openalex.org/W2184633288","https://openalex.org/W2211627007","https://openalex.org/W2222034324","https://openalex.org/W2260570520","https://openalex.org/W2311921677","https://openalex.org/W2322840440","https://openalex.org/W2490507465","https://openalex.org/W2501987877","https://openalex.org/W2953158824","https://openalex.org/W2954520918","https://openalex.org/W2963797441","https://openalex.org/W2963889733","https://openalex.org/W2964309749","https://openalex.org/W3014404461","https://openalex.org/W3015895242","https://openalex.org/W3089890187","https://openalex.org/W4236965075","https://openalex.org/W6639095864","https://openalex.org/W6686610792","https://openalex.org/W6688407262","https://openalex.org/W6688585410","https://openalex.org/W6692773433","https://openalex.org/W6765018045"],"related_works":["https://openalex.org/W4312379396","https://openalex.org/W2032521508","https://openalex.org/W2352135387","https://openalex.org/W2331317693","https://openalex.org/W53859782","https://openalex.org/W1967381426","https://openalex.org/W3155742172","https://openalex.org/W2033626558","https://openalex.org/W2739520963","https://openalex.org/W2374988613"],"abstract_inverted_index":{"The":[0],"Kuramoto\u2013Sinelshchikov\u2013Velarde":[1],"equation":[2],"describes":[3],"the":[4,14,17,24,33,36,48,51,55],"evolution":[5,15],"of":[6,16,27,32,38,50],"a":[7,39],"phase":[8],"turbulence":[9],"in":[10],"reaction-diffusion":[11],"systems":[12],"or":[13],"plane":[18,40],"flame":[19,41],"propagation,":[20],"taking":[21],"into":[22],"account":[23],"combined":[25],"influence":[26],"diffusion":[28],"and":[29],"thermal":[30],"conduction":[31],"gas":[34],"on":[35],"stability":[37],"front.":[42],"In":[43],"this":[44],"paper,":[45],"we":[46],"prove":[47],"well-posedness":[49],"classical":[52],"solutions":[53],"for":[54],"Cauchy":[56],"problem.":[57]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}