[GTP] GTP Seminar-New date and time

[Silvia Gentile]

GTP Seminar
***NEW DATE AND TIME***
Friday, May 17, 2013
Foothills Laboratory 2, Main Auditorium
Lecture at 2:00pm

CLUSTER OF INTERACTING WAVE TRIADS IN QG MODEL: QUADRATIC INVARIANTS
Sergey Nazarenko
Mathematics Institute
University of Warwick, UK

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.

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