[GTP] Fwd: GTP Seminar-New date and time

[Carolyn Mueller]

Just a reminder of Friday's Seminar.


-------- Original Message --------
Subject: 	GTP Seminar-New date and time
Date: 	Tue, 07 May 2013 14:49:17 -0600
From: 	Silvia Gentile <sgentile at ucar.edu>
Organization: 	NCAR
To: 	undisclosed-recipients:;



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



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