Reaction-diffusion in incompressible fluid: asymptotic problems.

DOI10.1006/jdeq.2000.4022zbMath1043.35079OpenAlexW2014158631MaRDI QIDQ1598372

Mark I. Freidlin

Publication date: 2 July 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.4022

zbMATH Keywords

stream functionincompressible viscous fluidwave frontsystem of reaction-diffusion equationssmall diffusion asymptoticsfast flow asymptotics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Reaction-diffusion equations (35K57) Random dynamical systems (37H99)

Related Items (13)

Large deviations for Hamiltonian systems on intermediate time scales ⋮ Invariant measures for passive scalars in the small noise inviscid limit ⋮ Boundary layers and KPP fronts in a cellular flow ⋮ Large deviations principle for a large class of one-dimensional Markov processes ⋮ Front propagation into unstable states ⋮ Fast flow asymptotics for stochastic incompressible viscous fluids in \(\mathbb {R}^2\) and SPDEs on graphs ⋮ Diffusion in Fluid Flow: Dissipation Enhancement by Flows in 2D ⋮ Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows ⋮ Boundary layers for cellular flows at high Péclet numbers ⋮ The explosion problem in a flow ⋮ Reaction-convection in incompressible 3D fluid: A homogenization problem ⋮ Traveling waves in a one-dimensional heterogeneous medium ⋮ Incompressible viscous fluids in \(\mathbb{R}^2\) and SPDEs on graphs, in presence of fast advection and non smooth noise

Cites Work

• Coupled reaction-diffusion equations
• Wavefront propagation for reaction-diffusion systems of PDE
• Wave front propagation and large deviations for diffusion-transmutation process
• Functional Integration and Partial Differential Equations. (AM-109)
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