Spectral Analysis for Stationary Solutions of the Cahn–Hilliard Equation in ℝ d Academic Article uri icon

abstract

  • We consider the spectrum associated with three types of bounded stationary solutions for the Cahn-Hilliard equation on ℝdd, 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.

author list (cited authors)

  • Howard, P.

citation count

  • 2

publication date

  • March 2010