Nonlinear Waves in Reaction Diffusion Systems: The Effect of Transport Memory

Journal Article · Thu Nov 04 00:00:00 EST 1999 · Physical Review E

OSTI ID:14822

HURD, ALAN J; KENKRE, V M; MANNE, K K

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.

• Research Organization: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
• Sponsoring Organization: US Department of Energy (US)
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 14822
• Report Number(s): SAND99-2844J; TRN: AH200130%%32
• Journal Information: Physical Review E, Other Information: Submitted to Physical Review E; PBD: 4 Nov 1999
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
STRESS ANALYSIS
DIFFUSION
GRANULAR MATERIALS
OSCILLATIONS
SHAPE
WAVE PROPAGATION
CHEMICAL REACTIONS
NONLINEAR PROBLEMS