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Article: On the local well-posedness of the prandtl and hydrostatic euler equations with multiple monotonicity regions
| Title | On the local well-posedness of the prandtl and hydrostatic euler equations with multiple monotonicity regions |
|---|---|
| Authors | |
| Keywords | Boundary layer |
| Issue Date | 2014 |
| Publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sima.php |
| Citation | SIAM Journal on Mathematical Analysis, 2014, v. 46, n. 6, p. 3865-3890 How to Cite? |
| Abstract | © 2014 Society for Industrial and Applied Mathematics.We find a new class of data for which the Prandtl boundary layer equations and the hydrostatic Euler equations are locally in time well-posed. In the case of the Prandtl equations, if the initial datum u 0 is monotone on a number of intervals (on some strictly increasing, on some strictly decreasing) and analytic on the complement of these intervals, we show that the local existence and uniqueness hold. The same result is true for the hydrostatic Euler equations if we assume these conditions for the initial vorticity ω0 = ∂yu0. |
| Persistent Identifier | http://hdl.handle.net/10722/228205 |
| ISSN | 2021 Impact Factor: 2.071 2020 SCImago Journal Rankings: 1.882 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kukavica, Igor | - |
| dc.contributor.author | Masmoudi, Nader | - |
| dc.contributor.author | Vicol, Vlad | - |
| dc.contributor.author | Wong, Tak Kwong | - |
| dc.date.accessioned | 2016-08-01T06:45:27Z | - |
| dc.date.available | 2016-08-01T06:45:27Z | - |
| dc.date.issued | 2014 | - |
| dc.identifier.citation | SIAM Journal on Mathematical Analysis, 2014, v. 46, n. 6, p. 3865-3890 | - |
| dc.identifier.issn | 0036-1410 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/228205 | - |
| dc.description.abstract | © 2014 Society for Industrial and Applied Mathematics.We find a new class of data for which the Prandtl boundary layer equations and the hydrostatic Euler equations are locally in time well-posed. In the case of the Prandtl equations, if the initial datum u 0 is monotone on a number of intervals (on some strictly increasing, on some strictly decreasing) and analytic on the complement of these intervals, we show that the local existence and uniqueness hold. The same result is true for the hydrostatic Euler equations if we assume these conditions for the initial vorticity ω0 = ∂yu0. | - |
| dc.language | eng | - |
| dc.publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sima.php | - |
| dc.relation.ispartof | SIAM Journal on Mathematical Analysis | - |
| dc.subject | Boundary layer | - |
| dc.title | On the local well-posedness of the prandtl and hydrostatic euler equations with multiple monotonicity regions | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1137/140956440 | - |
| dc.identifier.scopus | eid_2-s2.0-84919723225 | - |
| dc.identifier.volume | 46 | - |
| dc.identifier.issue | 6 | - |
| dc.identifier.spage | 3865 | - |
| dc.identifier.epage | 3890 | - |
| dc.identifier.eissn | 1095-7154 | - |
| dc.identifier.isi | WOS:000346843400011 | - |
| dc.identifier.issnl | 0036-1410 | - |