Singular Lagrangian manifolds and their Lagrangian maps

1990 ◽  
Vol 52 (4) ◽  
pp. 3246-3278 ◽  
Author(s):  
A. B. Givental'



Author(s):  
A. S. Mishchenko ◽  
V. E. Shatalov ◽  
B. Yu. Sternin
Keyword(s):  


2001 ◽  
Vol 237 (3) ◽  
pp. 469-504
Author(s):  
Siniša Slijepčevič


2012 ◽  
Vol 76 (1) ◽  
pp. 1-38
Author(s):  
Vladimir F Borisov ◽  
Vladimir V Gael' ◽  
Mikhail I Zelikin


Author(s):  
Abhishek Singh ◽  
Ramesh Kumar Pandey ◽  
Sachin Khare
Keyword(s):  


2006 ◽  
Vol 64 (2) ◽  
pp. 221-247 ◽  
Author(s):  
B. L. Lipphardt ◽  
D. Small ◽  
A. D. Kirwan ◽  
S. Wiggins ◽  
K. Ide ◽  
...  


1990 ◽  
Vol 48 (6) ◽  
pp. 1206-1213 ◽  
Author(s):  
A. Yu. Daletskii


1987 ◽  
Vol 47 (6) ◽  
pp. 1342-1360 ◽  
Author(s):  
Stanislaw Janeczko ◽  
Adam Kowalczyk


2015 ◽  
Vol 12 (1) ◽  
pp. 779-814 ◽  
Author(s):  
F. d'Ovidio ◽  
A. Della Penna ◽  
T. W. Trull ◽  
F. Nencioli ◽  
I. Pujol ◽  
...  

Abstract. Field campaigns are instrumental in providing ground truth for understanding and modelling global ocean biogeochemical budgets. A survey however can only inspect a fraction of the global oceans, typically a region 100s km wide for a temporal window of the order of (at most) several weeks. This spatiotemporal domain is also the one in which the mesoscale activity induces through horizontal stirring a strong variability in the biogeochemical tracers, with ephemeral, local contrasts which can easily mask the regional and seasonal gradients. Therefore, whenever local in-situ measures are used to infer larger scale budgets one faces the challenge of identifying the mesoscale structuring effect, if not simply to filter it out. In the case of the KEOPS2 investigation of biogeochemical responses to natural iron fertilization, this problem was tackled by designing an adaptive sampling strategy based on regionally-optimized multisatellite products analyzed in real time by specifically designed Lagrangian diagnostics. This strategy identified the different mesoscale and stirring structures present in the region and tracked the dynamical frontiers among them. It also enabled back-trajectories for the ship sampled stations to be estimated, providing important insights into the timing and pathways of iron supply, which were explored further using model based on first order iron removal. This context was essential for the interpretation of the field results. The mesoscale circulation based strategy was also validated post-cruise by comparing the Lagrangian maps derived from satellite with the patterns of more than one hundred drifters adaptively released during KEOPS2 and a subsequent research voyage. The KEOPS2 strategy was adapted to the specific biogeochemical characteristics of the region, but its principles are general and will be useful for future in-situ biogeochemical surveys.



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