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math.DS2025
Convective Turing Bifurcation
Aric Wheeler, Kevin Zumbrun
Following the approach pioneered by Eckhaus, Mielke, Schneider, and others for reaction diffusion systems [E, M1, M2, S1, S2, SZJV], we systematically derive formally by multiscale…
math.DS2025
Diffusive stability of convective Turing patterns
Aric Wheeler, Kevin Zumbrun
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 patter…