2 papers
nlin.PS2023
Weak Diffusive Stability of Roll Solutions at the Zigzag Boundary
Abhijit Chowdhary, Mason Haberle, William Ofori-atta +1
Roll solutions at the zigzag boundary, typically selected by patterns and defects in numerical simulations, are shown to be nonlinearly stable. This result also serves as an exampl…
math.AP2020
Nonlinear Stability at the Zigzag Boundary
Mason Haberle, Abhijit Chowdhary, Qiliang Wu
We investigate the dynamics of roll solutions at the zigzag boundary of the planar Swift-Hohenberg equation. Linear analysis shows an algebraic decay of small perturbation with a $…