[GTP] GTP Seminar at NCAR on May 17 will be webcast and recorded

[Silvia Gentile]

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CLUSTER OF INTERACTING WAVE TRIADS IN QG MODEL: QUADRATIC INVARIANTS
Sergey Nazarenko
Mathematics Institute
University of Warwick, UK
*****This session will be webcast and recorded 
http://www.fin.ucar.edu/it/mms/fl-live.htm*****

We consider clusters of interconnected resonant triads arising from the 
QG model. A cluster consists of N modes forming a total of M connected 
triads. We investigate the problem of constructing a linearly 
independent set of quadratic constants of motion. We show that this 
problem is equivalent to an underlying basic linear problem, consisting 
of finding the null space of a rectangular M × N matrix A with entries 
1, -1 and 0. In particular, we prove that the number of independent 
quadratic invariants is equal to J ≡ N – M* ≥ N − M, where M∗ is the 
number of linearly independent rows in A. We formulate an algorithm for 
decomposing large clusters of complicated topology into smaller ones and 
show how various invariants are related to certain parts and linking 
types of a cluster, including the basic structures leading to M* < M.

Friday, May 17, 2013
Foothills Laboratory 2, Main Auditorium
Lecture at 2:00pm

-- 
Silvia Gentile
NCAR IMAGe
1850 Table Mesa Drive
Boulder, CO 80305
303 497 2480
www2.image.ucar.edu