107 citations · 1.1k across the 120 of their papers we have counts for
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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…
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…
Stable manifolds for a class of degenerate evolution equations and exponential decay of kinetic shocks
Alin Pogan, Kevin Zumbrun
We construct stable manifolds for a class of degenerate evolution equations including the steady Boltzmann equation, establishing in the process exponential decay of associated kin…
On nonlinear stabilization of linearly unstable maps
Thierry Gallay, Benjamin Texier, Kevin Zumbrun
We examine the phenomenon of nonlinear stabilization, exhibiting a variety of related examples and counterexamples. For Gâteaux differentiable maps, we discuss a mechanism of nonli…