Diffusive stability of convective Turing patterns

Abstract

Following the approach of [E1, M1, M2, S1, S2, SZJV] for reaction diffusion systems, we justify rigorously the Eckhaus stability criterion for stability of convective Turing patterns, as derived formally by complex Ginzburg-Landau approximation [SS, NW, WZ]. Notably, our analysis includes also higher-order, nonlocal, and even certain semilinear hyperbolic systems.

References in corpus (5)

• The World of the Complex Ginzburg-Landau Equation
• Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation
• Diffusive stability of spatially periodic solutions of the Brusselator model
• Transverse steady bifurcation of viscous shock solutions of a hyperbolic-parabolic model in a strip
• Diffusive stability of spatially periodic patterns with a conservation law