Bounds on front speeds for inviscid and viscous \(G\)-equations

DOI10.4310/MAA.2009.v16.n4.a6zbMath1256.35090OpenAlexW2090850335MaRDI QIDQ617814

James Nolen, Yifeng Yu, Jack X. Xin

Publication date: 13 January 2011

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1286890993

zbMATH Keywords

cellular flowsdistinct speed growth lawsinviscid-viscous frontsnon-coercive Hamilton-Jacobi equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to problems in fluid mechanics (76M30) Initial value problems for nonlinear first-order PDEs (35F25) Flow control and optimization for compressible fluids and gas dynamics (76N25) Hamilton-Jacobi equations (35F21)

Related Items (8)

Anomalous diffusion in fast cellular flows at intermediate time scales ⋮ FKPP Fronts in Cellular Flows: The Large-Péclet Regime ⋮ A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows ⋮ Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models ⋮ Asymptotics for turbulent flame speeds of the viscous \(G\)-equation enhanced by cellular and shear flows ⋮ Homogenization and enhancement for the \(G\)-equation ⋮ Front quenching in the G-equation model induced by straining of cellular flow ⋮ Ballistic Orbits and Front Speed Enhancement for ABC Flows

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