On the Semi-geostrophic System in Physical Space with General Initial Data

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)
ID: 605515719
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024 7 0 |a 10.1007/s00205-015-0865-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00205-015-0865-y 
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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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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