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Article: On the H S Theory of Hydrostatic Euler Equations
Title | On the H S Theory of Hydrostatic Euler Equations |
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Authors | |
Issue Date | 2012 |
Citation | Archive for Rational Mechanics and Analysis, 2012, v. 204, n. 1, p. 231-271 How to Cite? |
Abstract | In this paper we study the two-dimensional hydrostatic Euler equations in a periodic channel. We prove the local existence and uniqueness of H S solutions under the local Rayleigh condition. This extends Brenier's (Nonlinearity 12(3):495-512, 1999) existence result by removing an artificial condition and proving uniqueness. In addition, we prove weak-strong uniqueness, mathematical justification of the formal derivation and stability of the hydrostatic Euler equations. These results are based on weighted H S a priori estimates, which come from a new type of nonlinear cancellation between velocity and vorticity. © 2012 Springer-Verlag. |
Persistent Identifier | http://hdl.handle.net/10722/228131 |
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 3.703 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Masmoudi, Nader | - |
dc.contributor.author | Wong, Tak Kwong | - |
dc.date.accessioned | 2016-08-01T06:45:16Z | - |
dc.date.available | 2016-08-01T06:45:16Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Archive for Rational Mechanics and Analysis, 2012, v. 204, n. 1, p. 231-271 | - |
dc.identifier.issn | 0003-9527 | - |
dc.identifier.uri | http://hdl.handle.net/10722/228131 | - |
dc.description.abstract | In this paper we study the two-dimensional hydrostatic Euler equations in a periodic channel. We prove the local existence and uniqueness of H S solutions under the local Rayleigh condition. This extends Brenier's (Nonlinearity 12(3):495-512, 1999) existence result by removing an artificial condition and proving uniqueness. In addition, we prove weak-strong uniqueness, mathematical justification of the formal derivation and stability of the hydrostatic Euler equations. These results are based on weighted H S a priori estimates, which come from a new type of nonlinear cancellation between velocity and vorticity. © 2012 Springer-Verlag. | - |
dc.language | eng | - |
dc.relation.ispartof | Archive for Rational Mechanics and Analysis | - |
dc.title | On the H S Theory of Hydrostatic Euler Equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00205-011-0485-0 | - |
dc.identifier.scopus | eid_2-s2.0-84858704855 | - |
dc.identifier.volume | 204 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 231 | - |
dc.identifier.epage | 271 | - |
dc.identifier.eissn | 1432-0673 | - |
dc.identifier.isi | WOS:000301792100005 | - |
dc.identifier.issnl | 0003-9527 | - |