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math.AP2025
Nonlinear stability of two-dimensional periodic waves in parabolic systems with conservation laws
L. Miguel Rodrigues, Aric Wheeler
We develop a stability theory for two-dimensional periodic traveling waves of general parabolic systems, possibly including conservation laws. In particular, we identify a diffusiv…
math.AP2025
Linear stability analysis for a system of singular amplitude equations arising in biomorphology
Aric Wheeler, Kevin Zumbrun
We study linear stability of exponential periodic solutions of a system of singular amplitude equations associated with convective Turing bifurcation in the presence of conservatio…