Modulations in the leading edges of midlatitude storm tracks
Roy Goodman, Andrew Majda, and David McLaughlin. SIAM Journal on Applied Mathematics, 2002.
Abstract
Downstream development is a term encompassing a variety of effects relating to the propagation of storm systems at midlatitude. We investigate a mechanism behind downstream development and study how wave propagation is affected by varying several physical parameters. We then develop a multiple scales modulation theory based on processes in the leading edge of propagating fronts to examine the effect of nonlinearity and weak variation in the background flow. Detailed comparisons are made with numerical experiments for a simple model system.
Type
Publication
SIAM Journal on Applied Mathematics, 62(3), 746–776
Authors
Professor, Associate Chair for Graduate Studies, Department of Mathematical Sciences
I am a professor in the Department of Mathematical Sciences at NJIT. My research applies methods of dynamical systems to (conservative, dispersive) nonlinear wave equations arising, for example, in optics and fluid mechanics. I am interested in dynamical and bifurcation phenomena, and I use techniques from Hamiltonian mechanics and perturbation theory, as well as extensive computations. My current research in vortex dynamics is supported by the NSF under DMS-2206016.
I led the effort to start the SIAM New York-New Jersey-Pennsylvania Section (SIAM NNP) and was its first president in 2023-2024. I have handed over the reins to a new leadership group.