Stability of Transition Front Solutions in Multidimensional CahnHilliard Systems Academic Article uri icon

abstract

  • Springer Science+Business Media New York 2016. We consider nonlinear stability for planar transition front solutions. (x1) arising in multidimensional (i.e., x Rn) Cahn-Hilliard systems. In previous work, the author has established conditions under which such waves are spectrally and linearly stable, and in this analysis, it is shown that spectral stability implies nonlinear stability for such systems.

published proceedings

  • Journal of Nonlinear Science

author list (cited authors)

  • Howard, P.

citation count

  • 4

publication date

  • June 2016