3 papers
nlin.PS2023
Transverse modulational dynamics of quenched patterns
Sierra Dunn, Ryan Goh, Benjamin Krewson
We study the modulational dynamics of striped patterns formed in the wake of a planar directional quench. Such quenches, which move across a medium and nucleate pattern-forming ins…
nlin.PS2023
Growing patterns
Ryan Goh, Arnd Scheel
Pattern forming systems allow for a wealth of states, where wavelengths and orientation of patterns varies and defects disrupt patches of monocrystalline regions. Growth of pattern…
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…