{"id":"https://openalex.org/W4396882378","doi":"https://doi.org/10.1137/24m1660565","title":"Amplitude Bounds of Steady Rotational Water Waves","display_name":"Amplitude Bounds of Steady Rotational Water Waves","publication_year":2026,"publication_date":"2026-04-13","ids":{"openalex":"https://openalex.org/W4396882378","doi":"https://doi.org/10.1137/24m1660565"},"language":"en","primary_location":{"id":"doi:10.1137/24m1660565","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1660565","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2405.06529","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091146571","display_name":"Susanna V. Haziot","orcid":"https://orcid.org/0000-0001-5156-8809"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Susanna V. Haziot","raw_affiliation_strings":["Department of Mathematics, Princeton University, Princeton, NJ 08544 USA"],"raw_orcid":"https://orcid.org/0000-0001-5156-8809","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Princeton University, Princeton, NJ 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088176029","display_name":"Walter A. Strauss","orcid":"https://orcid.org/0000-0002-0904-8874"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Walter A. Strauss","raw_affiliation_strings":["Department of Mathematics, Brown University, Providence, RI 02912 USA"],"raw_orcid":"https://orcid.org/0000-0002-0904-8874","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brown University, Providence, RI 02912 USA","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00062702,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"2","first_page":"1812","last_page":"1830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9821000099182129,"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":0.9821000099182129,"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/T10995","display_name":"Methane Hydrates and Related Phenomena","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/2304","display_name":"Environmental Chemistry"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10647","display_name":"Coastal and Marine Dynamics","score":0.9584000110626221,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.7682012319564819},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5631243586540222},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5020568370819092},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3496209979057312},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3379586935043335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31157493591308594},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.17595088481903076}],"concepts":[{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.7682012319564819},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5631243586540222},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5020568370819092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3496209979057312},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3379586935043335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31157493591308594},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.17595088481903076}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/24m1660565","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1660565","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:arXiv.org:2405.06529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.06529","pdf_url":"https://arxiv.org/pdf/2405.06529","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2405.06529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2405.06529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2405.06529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.06529","pdf_url":"https://arxiv.org/pdf/2405.06529","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6143290895","display_name":"PostDoctoral Research Fellowship","funder_award_id":"2102961","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G775959189","display_name":null,"funder_award_id":"DMS-2102961","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396882378.pdf","grobid_xml":"https://content.openalex.org/works/W4396882378.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0],"consider":[1],"classical":[2],"steady":[3],"water":[4],"waves":[5],"with":[6],"a":[7,10,52],"free":[8],"surface,":[9],"flat":[11],"bottom":[12],"and":[13,63],"constant":[14],"vorticity":[15],"$\u03b3$.":[16],"In":[17,45],"the":[18,32,36,61,66],"adverse":[19],"case":[20,48],"$\u03b3>0$":[21],"we":[22,50],"prove":[23,64],"that":[24,40,65],"there":[25],"is":[26,42],"an":[27,57],"absolute":[28,58],"upper":[29],"bound":[30,59],"on":[31,60],"amplitude,":[33],"independent":[34],"of":[35,55],"physical":[37],"constants,":[38],"provided":[39],"$\u03b3$":[41,72],"sufficiently":[43],"small.":[44],"any":[46],"favorable":[47],"$\u03b3\\leq0$":[49],"present":[51],"new":[53],"proof":[54],"such":[56],"amplitude":[62,67],"tends":[68,73],"to":[69,74],"zero":[70],"as":[71],"negative":[75],"infinity.":[76]},"counts_by_year":[],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-10T00:00:00"}