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Anomalous diffusion in linear shear flows

Journal of Physics A: Mathematical and General, 1997
Summary: Anomalous diffusion in the presence of several linear flows is studied by means of a nonlinear diffusion formalism. The results generated are particularly interesting for simple shear flows. We compare our results for this latter situation with those obtained from an alternative description for anomalous diffusion, namely fractional diffusion.
Compte, Albert   +2 more
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Kinetic Theory of Linear Shear Flow

The Physics of Fluids, 1958
The flow of a monatomic gas between two parallel plates kept at the same temperature and moving in opposite directions is studied. The relative velocity of the plates is much smaller than the speed of sound. The deviation from the equilibrium distribution, φ(c, x), satisfies the linearized Boltzmann equation.
Gross, E. P., Ziering, S.
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Linearized Flow

2021
Forrest E. Ames, Clement Tang
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Linear Flows on $��$-Solenoids

1999
Linear flows on inverse limits of tori are defined and it is shown that two linear flows on an inverse limit of tori are equivalent if and only if there is an automorphism of the inverse limit generating the equivalence.
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Classification of Linear Flows

2016
Flows on normed spaces can be classified using flow equivalences --- maps on the space with the property that the structure of one flow is converted into the structure of another flow. Of particular interest are classifications that arise from flow equivalences that are either homeomorphisms or diffeomorphisms. It is possible to completely characterize
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Slip Flow of Linearized Couette Problem

The Physics of Fluids, 1966
An asymptotic solution, valid throughout the physical space, is obtained for the linearized Couette problem at small Knudsen number. The error introduced by this solution is of the order of (1/α) exp [−(1/β)α2/3] where (1/α) is the Knudsen number and β is any real number greater than unity.
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A CLASS OF LINEAR MAGNETOHYDRODYNAMIC FLOWS

AIAA Journal, 1963
The continuity, momentum, Maxwell, current conservaLon, and Ohm's Law equations are given for the steady laminar flow of a conducting fluid of constant properties. Equations are derived which involve V (velocity vector), B (magnetic flux density vector), and P (pressure) only.
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Classification of Linear Flows

2018
We know the flow on the phase space \({\mathbb R}^n\) that is generated by a linear differential equation.
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Network Flow Linear Programs

1999
In this chapter we study a class of linear programs called network flow problems. These problems are important for several reasons. Many important applications give rise to linear programming models where all, or a large portion, of the constraints have a network flow structure.
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Inertial Effects on Linear and Locally Linear Flows

Aerosol Science and Technology, 1985
The dynamics of a suspension of particles in a gas may be characterized by the coexistence of a nearly equilibrated incompressible component (the gas) with a highly compressible component, which is often very far from equilibrium (the particle phase). The governing equations for such a system are complicated due to the coupling between the two phases ...
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