Periodic Orbits of the ABC Flow with A=B=C=1

DOI10.1137/16M1076241zbMath1366.34062arXiv1601.02724OpenAlexW2963510816MaRDI QIDQ3179337

Yifeng Yu, Andrej Zlatoš, Jack X. Xin

Publication date: 21 December 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02724

zbMATH Keywords

periodic orbits1-1-1 Arnold-Beltrami-Childress flowflame speed enhancement by flowsG-equation model of turbulent combustion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items

Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method, A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits, Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs, Speed-up of traveling waves by negative chemotaxis, Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis, Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations, Brownian fluctuations of flame fronts with small random advection, The speed of traveling waves in a FKPP-Burgers system, Ballistic Orbits and Front Speed Enhancement for ABC Flows, Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis, Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp asymptotics for KPP pulsating front speed-up and diffusion enhancement by flows
• Bulk burning rate in passive-reactive diffusion
• Ballistic Orbits and Front Speed Enhancement for ABC Flows
• Asymptotic Growth Rates and Strong Bending of Turbulent Flame Speeds of G-Equation in Steady Two-Dimensional Incompressible Periodic Flows
• An Introduction to Fronts in Random Media
• Chaotic streamlines in the ABC flows
• Turbulent Combustion
• The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations
• Stretch, Twist, Fold: The Fast Dynamo
• Chaotic and Resonant Streamlines in the ABC Flow
• Enhancement of the traveling front speeds in reaction-diffusion equations with advection