Universal wavenumber selection laws in apical growth
  We study pattern-forming dissipative systems in growing domains. We characterize classes of boundary conditions that allow for defect-free growth and derive universal scaling laws for the wavenumber in the bulk of the domain. Scalings are based on a description of striped patterns in semi-bounded domains via strain-displacement relations. We compare predictions with direct simulations in the Swift-Hohenberg, the Complex Ginzburg-Landau, the Cahn-Hilliard, and reaction-diffusion equations. 
Ryan Goh, Rajendra Beekie, Daniel Matthias, Joshua Nunley, and Arnd   Scheel
nlin.PS