{"id":"https://openalex.org/W3012018890","doi":"https://doi.org/10.1007/s12190-020-01333-8","title":"Explicit solutions and numerical simulations for an asymptotic water waves model with surface tension","display_name":"Explicit solutions and numerical simulations for an asymptotic water waves model with surface tension","publication_year":2020,"publication_date":"2020-03-12","ids":{"openalex":"https://openalex.org/W3012018890","doi":"https://doi.org/10.1007/s12190-020-01333-8","mag":"3012018890"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01333-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01333-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5027995220","display_name":"Mohammad Haidar","orcid":"https://orcid.org/0000-0003-4932-6274"},"institutions":[{"id":"https://openalex.org/I36314861","display_name":"Beirut Arab University","ror":"https://ror.org/02jya5567","country_code":"LB","type":"education","lineage":["https://openalex.org/I36314861"]}],"countries":["LB"],"is_corresponding":true,"raw_author_name":"Mohammad Haidar","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon","institution_ids":["https://openalex.org/I36314861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011971746","display_name":"Toufic El Arwadi","orcid":"https://orcid.org/0000-0002-0394-5662"},"institutions":[{"id":"https://openalex.org/I36314861","display_name":"Beirut Arab University","ror":"https://ror.org/02jya5567","country_code":"LB","type":"education","lineage":["https://openalex.org/I36314861"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Toufic El Arwadi","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon","institution_ids":["https://openalex.org/I36314861"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032604898","display_name":"Samer Israwi","orcid":null},"institutions":[{"id":"https://openalex.org/I160368002","display_name":"Lebanese University","ror":"https://ror.org/05x6qnc69","country_code":"LB","type":"education","lineage":["https://openalex.org/I160368002"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Samer Israwi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science 1, Lebanese University, Beirut, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science 1, Lebanese University, Beirut, Lebanon","institution_ids":["https://openalex.org/I160368002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027995220"],"corresponding_institution_ids":["https://openalex.org/I36314861"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7446,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.70085576,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"63","issue":"1-2","first_page":"655","last_page":"681"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9973999857902527,"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.7675853967666626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.706889808177948},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.6344754099845886},{"id":"https://openalex.org/keywords/surface-tension","display_name":"Surface tension","score":0.5925272703170776},{"id":"https://openalex.org/keywords/boussinesq-approximation","display_name":"Boussinesq approximation (buoyancy)","score":0.5353636741638184},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5266042947769165},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4981358051300049},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46024081110954285},{"id":"https://openalex.org/keywords/tension","display_name":"Tension (geology)","score":0.44190773367881775},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20377996563911438},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1942567229270935},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.17601832747459412},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16760218143463135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12579041719436646},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06557610630989075}],"concepts":[{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.7675853967666626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.706889808177948},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.6344754099845886},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.5925272703170776},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.5353636741638184},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5266042947769165},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4981358051300049},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46024081110954285},{"id":"https://openalex.org/C186068551","wikidata":"https://www.wikidata.org/wiki/Q13255585","display_name":"Tension (geology)","level":3,"score":0.44190773367881775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20377996563911438},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1942567229270935},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.17601832747459412},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16760218143463135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12579041719436646},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06557610630989075},{"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/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.0},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.0},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-020-01333-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01333-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1508205267","https://openalex.org/W1608561939","https://openalex.org/W1632757846","https://openalex.org/W1979722387","https://openalex.org/W2019132011","https://openalex.org/W2040229175","https://openalex.org/W2050251103","https://openalex.org/W2058721785","https://openalex.org/W2059531539","https://openalex.org/W2063779066","https://openalex.org/W2108202098","https://openalex.org/W2111844730","https://openalex.org/W2127230707","https://openalex.org/W2172071813","https://openalex.org/W2883407220","https://openalex.org/W2890850996","https://openalex.org/W2898916015","https://openalex.org/W2916835505","https://openalex.org/W2928571377","https://openalex.org/W2934529063","https://openalex.org/W2947809578","https://openalex.org/W2952736732","https://openalex.org/W2962818759","https://openalex.org/W2969811770","https://openalex.org/W4236358907","https://openalex.org/W4246710960"],"related_works":["https://openalex.org/W2027202866","https://openalex.org/W3149920197","https://openalex.org/W4293569346","https://openalex.org/W2397056152","https://openalex.org/W2949885877","https://openalex.org/W4252904065","https://openalex.org/W4239315977","https://openalex.org/W2153421756","https://openalex.org/W2734496778","https://openalex.org/W2530868572"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-30T13:55:48.251075","created_date":"2025-10-10T00:00:00"}
