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Article: Galilean Boost and Non-uniform Continuity for Incompressible Euler
| Title | Galilean Boost and Non-uniform Continuity for Incompressible Euler |
|---|---|
| Authors | |
| Issue Date | 2019 |
| Citation | Communications in Mathematical Physics, 2019, v. 372, n. 1, p. 261-280 How to Cite? |
| Abstract | By using an idea of localized Galilean boost, we show that the data-to-solution map for incompressible Euler equations is not uniformly continuous in Hs(Rd) , s≥ 0. This settles the end-point case (s = 0) left open in Himonas–Misiołek (Commun Math Phys 296(1):285–301, 2010) and gives a unified treatment for all Hs. We also show the solution map is nowhere uniformly continuous. |
| Persistent Identifier | http://hdl.handle.net/10722/327224 |
| ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.612 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bourgain, Jean | - |
| dc.contributor.author | Li, Dong | - |
| dc.date.accessioned | 2023-03-31T05:29:50Z | - |
| dc.date.available | 2023-03-31T05:29:50Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.citation | Communications in Mathematical Physics, 2019, v. 372, n. 1, p. 261-280 | - |
| dc.identifier.issn | 0010-3616 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/327224 | - |
| dc.description.abstract | By using an idea of localized Galilean boost, we show that the data-to-solution map for incompressible Euler equations is not uniformly continuous in Hs(Rd) , s≥ 0. This settles the end-point case (s = 0) left open in Himonas–Misiołek (Commun Math Phys 296(1):285–301, 2010) and gives a unified treatment for all Hs. We also show the solution map is nowhere uniformly continuous. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Communications in Mathematical Physics | - |
| dc.title | Galilean Boost and Non-uniform Continuity for Incompressible Euler | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s00220-019-03373-z | - |
| dc.identifier.scopus | eid_2-s2.0-85062020286 | - |
| dc.identifier.volume | 372 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 261 | - |
| dc.identifier.epage | 280 | - |
| dc.identifier.eissn | 1432-0916 | - |
| dc.identifier.isi | WOS:000496569200008 | - |