4 papers
Reduced wave number dynamics in the real and complex Ginzburg-Landau equations
Yijun Lin, Adrian van Kan, Edgar Knobloch
We study large-scale dynamics in the Ginzburg-Landau equation (GLE) using a reduced description derived from a WKB expansion. Rigorous mathematical results establishing that this r…
Accurate simulation of pulled and pushed fronts in the nonautonomous Fisher-KPP equation
Troy Tsubota, Smridhi Mahajan, Adrian van Kan +1
We introduce a novel numerical method for direct simulation of front propagation in the Fisher-KPP equation with a time-dependent parameter on an infinite domain. The method comput…
Rescaled Equations for Well-Conditioned Direct Numerical Simulations of Rapidly Rotating Convection
Keith Julien, Adrian van Kan, Benjamin Miquel +2
Convection is a ubiquitous process driving geophysical/astrophysical fluid flows, which are typically strongly constrained by planetary rotation on large scales. A celebrated model…
Large-scale self-organisation in dry turbulent atmospheres
Alexandros Alexakis, Raffaele Marino, Pablo D. Mininni +3
How turbulent convective fluctuations organise to form large-scale structures in planetary atmospheres remains a question that eludes quantitative answers. The assumption that this…