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Nonlinear Waves in Reaction Diffusion Systems [electronic resource] : The Effect of Transport Memory

Published
Washington, D.C. : United States. Dept. of Energy, 1999.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
17 pages : digital, PDF file
Additional Creators
Sandia National Laboratories, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
Motivated by the problem of determining stress distributions in granular materials, we study the effect of finite transport correlation times on the propagation of nonlinear wavefronts in reaction diffusion systems. We obtain new results such as the possibility of spatial oscillations in the wavefront shape for certain values of the system parameters and high enough wavefront speeds. We also generalize earlier known results concerning the minimum wavefront speed and shape-speed relationships stemming from the finiteness of the correlation times. Analytic investigations are made possible by a piece-wise linear representation of the nonlinearity.
Report Numbers
E 1.99:sand99-2844j
sand99-2844j
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Note
Published through SciTech Connect.
11/04/1999.
"sand99-2844j"
Physical Review E FT
KENKRE,V.M.; HURD,ALAN J.; MANNE,K.K.
Funding Information
AC04-94AL85000
View MARC record | catkey: 14449312