Trigger Waves in a Model for Catalysis
Roy Goodman, David Graff, Leonard Sander, Patrick Leroux-Hugon, and Eric Clement. Physical Review E, 1995.
Jan 1, 1995·
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Roy Goodman
David Graff
Leonard Sander
Patrick Leroux-Hugon
Eric Clement
Abstract
We consider the model of catalysis due to Ziff, Gulari, and Barshad [Phys Rev. Lett. 56, 2553 (1986)] as a pattern formation problem. We find that the model supports trigger waves and we examine the dependence of the wave velocity on diffusion. In addition to the usual interface width there is a statistical broadening of the wave front that increases in time as \(t^{\frac{1}{3}}\).
Type
Publication
Physical Review E, 52(6), 5904–5909
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.