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Fronts and Interfaces

  • L.M. Pismen
Part of the Springer Series in Synergetics book series (SSSYN)

Abstract

If the amplitude is allowed to vary in space, a diffusional term is added to the respective amplitude equation. For a bifurcation at zero eigenvalue in a general RDS, spatial dependence can be incorporated in the formal expansion of Sect. 1.3.2 by scaling the spatial derivatives as ∇ = O((n-1)/2) when the expansion proceeds to the nth order. Starting from a general RDS (1.18), one obtains then the term D∇2a with the amplitude diffusivity D = U† . DU added to the solvability condition in the respective order, yielding a single (scalar) diffusion equation with a polynomial nonlinearity of degree n.

Keywords

Propagation Speed Interphase Boundary Burger Equation Eikonal Equation Phase Field Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • L.M. Pismen
    • 1
  1. 1.Department of Chemical EngineeringTechnion - Israel Institute of Technology Technion CityHaifaIsrael

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