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math.DS2024
Pitchfork bifurcation along a slow parameter ramp: coherent structures in the critical scaling
Ryan Goh, Tasso J. Kaper, Arnd Scheel
We investigate the slow passage through a pitchfork bifurcation in a spatially extended system, when the onset of instability is slowly varying in space. We focus here on the criti…
math.DS2023
Oblique and checkerboard patterns in the quenched Cahn-Hilliard model
Ryan Goh, Ben Hosek
We consider transversely modulated fronts in a directionally quenched Cahn-Hilliard equation, posed on a two-dimensional infinite channel, with both parameter and source-term type…