Uniqueness and Energy Integrals

1983 ◽  
pp. 26-32
Author(s):  
Joel Smoller
Keyword(s):  
Energy Integrals

scholarly journals Single super-vortex as a proxy for ocean surface flow fields

2019 ◽  
Author(s):  
Imre M. Jánosi ◽  
Miklós Vincze ◽  
Gábor Tóth ◽  
Jason A. C. Gallas
Keyword(s):  
Kinetic Energy ◽  
Cross Correlation ◽  
Strong Relationship ◽  
Surface Flow ◽  
Coarse Grained ◽  
Cross Correlation Analysis ◽  
Energy Integrals ◽  
Ocean Region ◽  
The Mean ◽  
Westward Drift

Abstract. Empirical flow field data evaluation in a well studied ocean region along the U.S. West Coast revealed a surprisingly strong relationship between the surface integrals of kinetic energy and enstrophy (squared vorticity). This relationship defines a single isolated Gaussian super-vortex, whose fitted size parameter is related to the mean eddy size, and the square of the fitted height parameter is proportional to the sum of the square of all individual eddy amplitudes obtained by standard vortex census. This finding allows a very effective coarse-grained eddy statistics with minimal computational efforts. As an illustrative example, the westward drift velocity of eddies is determined from a simple cross correlation analysis of kinetic energy integrals.

scholarly journals Nonuniformly elliptic energy integrals with p,q-growth

2018 ◽  
Vol 177 ◽  
pp. 312-324 ◽  
Author(s):  
Giovanni Cupini ◽  
Paolo Marcellini ◽  
Elvira Mascolo
Keyword(s):  
Energy Integrals

scholarly journals Extremal periodic wave profiles

2007 ◽  
Vol 7 (1) ◽  
pp. 33-40 ◽  
Author(s):  
E. van Groesen ◽  
Keyword(s):  
Surface Waves ◽  
Periodic Wave ◽  
Feasible Region ◽  
Cnoidal Wave ◽  
Fluid Surface ◽  
Energy Integrals ◽  
Wave Profiles ◽  
Energy Plane ◽  
Crest Height

Abstract. As a contribution to deterministic investigations into extreme fluid surface waves, in this paper wave profiles of prescribed period that have maximal crest height will be investigated. As constraints the values of the momentum and energy integrals are used in a simplified description with the KdV model. The result is that at the boundary of the feasible region in the momentum-energy plane, the only possible profiles are the well known cnoidal wave profiles. Inside the feasible region the extremal profiles of maximal crest height are "cornered" cnoidal profiles: cnoidal profiles of larger period, cut-off and periodically continued with the prescribed period so that at the maximal crest height a corner results.

Sign in / Sign up

Export Citation Format

Share Document