Transverse modulational dynamics of quenched patterns

DOI10.1063/5.0170039MaRDI QIDQ6592512

Ryan Goh, Sierra Dunn, Benjamin Krewson

Publication date: 26 August 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Triggered fronts in the complex Ginzburg Landau equation
• Chemical oscillations, waves, and turbulence
• Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation
• Towards a universal theory for natural patterns
• Instability and stability of rolls in the Swift-Hohenberg equation
• Front propagation into unstable states
• Diffusion of autowaves. Evolution equation for slowly varying autowaves
• Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
• The geometry of the phase diffusion equation
• The world of the complex Ginzburg-Landau equation
• The dynamics of modulated wave trains
• Slowly Varying Waves and Shock Structures in Reaction-Diffusion Equations
• Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes
• Phase slips and the Eckhaus instability
• Strain and Defects in Oblique Stripe Growth
• Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism
• Growing Stripes, with and without Wrinkles
• Fourth-Order Time-Stepping for Stiff PDEs
• Pattern formation outside of equilibrium
• Derivation of non-isotropic phase equations from a general reaction-diffusion equation
• Growing patterns

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