Construction of Almost-Sharp Fronts for the Surface Quasi-Geostrophic Equation

Verfasser / Beitragende:
[Charles Fefferman, José Rodrigo]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 218/1(2015-10-01), 123-162
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00205-015-0857-y  |2 doi 
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245 0 0 |a Construction of Almost-Sharp Fronts for the Surface Quasi-Geostrophic Equation  |h [Elektronische Daten]  |c [Charles Fefferman, José Rodrigo] 
520 3 |a In this paper we construct families of real analytic solutions of the Surface Quasi-Geostrophic equation (SQG) that are locally constant outside a thin neighborhood of a curve of arbitrarily small thickness. Despite the fact that only local existence results are known for SQG, and that our initial conditions have a arbitrarily large gradient we show that solutions exist for a time independent of the thickness of the neighborhood. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
700 1 |a Fefferman  |D Charles  |u Fine Hall, Washington Road, 08544-1000, Princeton, NJ, USA  |4 aut 
700 1 |a Rodrigo  |D José  |u Warwick University, CV47AL, Coventry, UK  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 218/1(2015-10-01), 123-162  |x 0003-9527  |q 218:1<123  |1 2015  |2 218  |o 205 
856 4 0 |u https://doi.org/10.1007/s00205-015-0857-y  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00205-015-0857-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Fefferman  |D Charles  |u Fine Hall, Washington Road, 08544-1000, Princeton, NJ, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Rodrigo  |D José  |u Warwick University, CV47AL, Coventry, UK  |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), 123-162  |x 0003-9527  |q 218:1<123  |1 2015  |2 218  |o 205