{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360011144564367488.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1098/rspa.1994.0050"}},{"identifier":{"@type":"URI","@value":"https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1994.0050"}},{"identifier":{"@type":"URI","@value":"https://royalsocietypublishing.org/rspa/article-pdf/445/1923/99/69336/rspa.1994.0050.pdf"}}],"dc:title":[{"@value":"The run-up of\n                    <i>N</i>\n                    -waves on sloping beaches"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>Abstract</jats:title>\n                  <jats:p>Anecdotal reports of tsunamis climbing up coastlines have often described the shoreline receding significantly before the tsunami waves run-up on the beach. These waves are caused by tsunamigenic earthquakes close to the shoreline, when the generated wave does not have sufficient propagation distance to evolve into leading-elevation waves or a series of solitary waves. Yet all previous run-up in­vestigations have modelled periodic waves or solitary waves which initially only run-up on the beach. In our studies of these initially receding shorelines, we have found a class of N-shaped waves with very interesting and counterintuitive behaviour which may lead to a new paradigm for the studies of tsunami run-up. We will use a first-order theory and we will derive asymptotic results for the maximum run-up within the validity of the theory for different types of N-waves. We have observed that leading depression N-waves run-up higher than leading elevation N-waves, suggesting that perhaps the solitary wave model may not be adequate for predicting an upper limit for the run-up of near-shore generated tsunamis.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380588389979623425","@type":"Researcher","foaf:name":[{"@value":"Srinivas Tadepalli"}],"jpcoar:affiliationName":[{"@value":"School of Engineering, University of Southern California, Los Angeles, California 90089-2531, U. S. A."}]},{"@id":"https://cir.nii.ac.jp/crid/1380588389979623424","@type":"Researcher","foaf:name":[{"@value":"Costas Emmanuel Synolakis"}],"jpcoar:affiliationName":[{"@value":"School of Engineering, University of Southern California, Los Angeles, California 90089-2531, U. S. A."}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"09628444"},{"@type":"EISSN","@value":"20539177"}],"prism:publicationName":[{"@value":"Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences"}],"dc:publisher":[{"@value":"The Royal Society"}],"prism:publicationDate":"1994-04-08","prism:volume":"445","prism:number":"1923","prism:startingPage":"99","prism:endingPage":"112"},"reviewed":"false","dc:rights":["https://royalsociety.org/journals/ethics-policies/data-sharing-mining/"],"url":[{"@id":"https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1994.0050"},{"@id":"https://royalsocietypublishing.org/rspa/article-pdf/445/1923/99/69336/rspa.1994.0050.pdf"}],"createdAt":"2006-12-18","modifiedAt":"2026-02-25","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360013168749952640","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Tsunami propagation kernel and its applications"}]},{"@id":"https://cir.nii.ac.jp/crid/1360857593679008000","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Kernel representation of long-wave dynamics on a uniform slope"}]},{"@id":"https://cir.nii.ac.jp/crid/2051996266977822464","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Frequency-dependent amplification of the Sanriku tsunamis in Ryori Bay"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1098/rspa.1994.0050"},{"@type":"CROSSREF","@value":"10.5194/nhess-21-2093-2021_references_DOI_9eD7kIeij4qPB18jsTeWywgw6WM"},{"@type":"CROSSREF","@value":"10.1186/s40623-019-1128-1_references_DOI_9eD7kIeij4qPB18jsTeWywgw6WM"},{"@type":"CROSSREF","@value":"10.1098/rspa.2020.0333_references_DOI_9eD7kIeij4qPB18jsTeWywgw6WM"}]}