10 citations · 19 across the 11 of their papers we have counts for
12 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-Kolomogorov-Piskunov-Petrovsky 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…
Spontaneous generation of helical flows by salt fingers
Adrian E. Fraser, Adrian van Kan, Edgar Knobloch +2
We study the dynamics of salt fingers in the regime of slow salinity diffusion (small inverse Lewis number) and strong stratification (large density ratio), focusing on regimes rel…
Two-dimensional turbulent condensates without bottom drag
Adrian van Kan, Alexandros Alexakis, Edgar Knobloch
The extent to which statistical equilibrium theory is applicable to driven dissipative dynamics remains an important open question in many systems. We use extensive direct numerica…
Traveling spatially localized convective structures in an inclined porous medium
Zhiwei Dave Li, Chang Liu, Adrian van Kan +1
Multiple stationary, localized structures were recently found for inclined porous medium convection with constant-temperature boundaries. We analyze traveling asymmetric, localized…
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…
Bridging the Rossby number gap in rapidly rotating thermal convection
Adrian van Kan, Keith Julien, Benjamin Miquel +1
Geophysical and astrophysical fluid flows are typically driven by buoyancy and strongly constrained at large scales by planetary rotation. Rapidly rotating Rayleigh-Bénard convecti…
Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dissipative dynamics
Edgar Knobloch, Arik Yochelis
Rogue waves are an intriguing nonlinear phenomenon arising across different scales, ranging from ocean waves through optics to Bose-Einstein condensates. We describe the emergence…
Fixed-flux Rayleigh-Bénard convection in doubly periodic domains: generation of large-scale shear
Chang Liu, Manjul Sharma, Keith Julien +1
This work studies two-dimensional fixed-flux Rayleigh-Bénard convection with periodic boundary conditions in both horizontal and vertical directions and analyzes its dynamics using…
Bifurcation delay and front propagation in the real Ginzburg-Landau equation on a time-dependent domain
Troy Tsubota, Chang Liu, Benjamin Foster +1
This work analyzes bifurcation delay and front propagation in the one-dimensional real Ginzburg-Landau equation (RGLE) with periodic boundary conditions on monotonically growing or…
Fluctuation-Induced Transitions in Anisotropic Two-Dimensional Turbulence
Lichuan Xu, Adrian van Kan, Chang Liu +1
Two-dimensional (2D) turbulence features an inverse energy cascade that produces large-scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We investi…
From a vortex gas to a vortex crystal in instability-driven two-dimensional turbulence
A. van Kan, B. Favier, K. Julien +1
We study structure formation in two-dimensional turbulence driven by an external force, interpolating between linear instability forcing and random stirring, subject to nonlinear d…