Burgers Velocity Fields and Dynamical Transport Processes
نویسندگان
چکیده
منابع مشابه
Burgers Velocity Fields and Dynamical Transport Processes.
We explore a connection of the forced Burgers equation with the Schrödinger (diffusive) interpolating dynamics in the presence of deterministic external forces. This entails an exploration of the consistency conditions that allow to interpret dispersion of passive contaminants in the Burgers flow as a Markovian diffusion process. In general, the usage of a continuity equation ∂ t ρ = −∇(vρ), wh...
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Geometric methods from dynamical systems are used to study Lagrangian transport in numerically-generated, time-dependent, two-dimensional vector elds. The ows analyzed here are numerical solutions to the barotropic, -plane, potential vorticity equation with viscosity, where the pde parameters have been chosen so that the solution evolves to a meandering jet. Numerical methods for approximating ...
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In this paper, we consider an extended formulation of the transport equation that remains meaningful with discontinuous velocity fields b, assuming that (1, b) is a special function of bounded deformation (SBD). We study existence, uniqueness, and continuity/stability of the presented formulation. We then apply this study to the problem of fitting to available data a space-time image subject to...
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The effective equation describing the transport of passive tracers in nonsolenoidal velocity fields is determined, assuming that the velocity field U(r,t) is a function of both position r and time t, albeit remaining locally random. Assuming a strong separation of scales and applying the method of homogenization, we find a Fickian constitutive relation for the coarse-grained particle flux, as t...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1996
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.77.2608