8 citations · 13 across the 8 of their papers we have counts for
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Numerical Continuation and Bifurcation in Nonlinear PDEs: Stability, invasion and wavetrains in the Swift-Hohenberg equation
David Lloyd, Ryan Goh, Jens D. M. Rademacher
We discuss some aspects of numerical continuation and bifurcation for partial differential equations, specifically pattern formation and coherent structures. For the sake of clarit…
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…
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…
Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism
Ryan Goh, Björn de Rijk
We consider pattern-forming fronts in the complex Ginzburg-Landau equation with a traveling spatial heterogeneity which destabilizes, or quenches, the trivial ground state while pr…