Spectral Analysis for Stationary Solutions of the CahnHilliard Equation in d Academic Article uri icon

abstract

  • We consider the spectrum associated with three types of bounded stationary solutions for the Cahn-Hilliard equation on dd, d 2: radial solutions, saddle solutions (only for d = 2), and planar periodic solutions. In particular, we establish spectral instability for each type of solution. The important case of multiply periodic solutions does not fit into the framework of our approach, and we do not consider it here. Taylor & Francis Group, LLC.

published proceedings

  • Communications in Partial Differential Equations

author list (cited authors)

  • Howard, P.

citation count

  • 2

complete list of authors

  • Howard, Peter

publication date

  • January 2010