On the Semi-geostrophic System in Physical Space with General Initial Data
Gespeichert in:
Verfasser / Beitragende:
[Mikhail Feldman, Adrian Tudorascu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 218/1(2015-10-01), 527-551
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0865-y |2 doi |
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| 245 | 0 | 0 | |a On the Semi-geostrophic System in Physical Space with General Initial Data |h [Elektronische Daten] |c [Mikhail Feldman, Adrian Tudorascu] |
| 520 | 3 | |a In order to accommodate general initial data, an appropriately relaxed notion of renormalized Lagrangian solutions for the Semi-Geostrophic system in physical space is introduced. This is shown to be consistent with previous notions, generalizing them. A weak stability result is obtained first, followed by a general existence result whose proof employs said stability and approximating solutions with regular initial data. The renormalization property ensures the return from physical to dual space; as consequences we get conservation of Hamiltonian energy and some weak time-regularity of solutions. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Feldman |D Mikhail |u Department of Mathematics, University of Wisconsin-Madison, 53706, Madison, WI, USA |4 aut | |
| 700 | 1 | |a Tudorascu |D Adrian |u Department of Mathematics, West Virginia University, 26506, Morgantown, WV, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 527-551 |x 0003-9527 |q 218:1<527 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0865-y |q text/html |z Onlinezugriff via DOI |
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| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0865-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Feldman |D Mikhail |u Department of Mathematics, University of Wisconsin-Madison, 53706, Madison, WI, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tudorascu |D Adrian |u Department of Mathematics, West Virginia University, 26506, Morgantown, WV, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 527-551 |x 0003-9527 |q 218:1<527 |1 2015 |2 218 |o 205 | ||