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The Λ is called hyperbolic for X t if there are constants C > 0, λ > 0 and a splitting T x M = E x s ⊕ 〈 X ( x ) 〉 ⊕ E x u such that the tangent flow D X t : T M → T M leaves invariant the continuous splitting and ∥ D X t | E x s ∥ ≤ C e − λ t and ∥ D X − t | E x u ∥ ≤ C e − λ t. for t > 0 and x ∈ Λ.
Seventy-two hours post-infection, cultures were clarified to remove the cells and supernatants containing VLPs were concentrated by tangent flow filtration with a 500,000 molecular weight hollow fiber filter, then the concentrate was diafiltered against PBS.
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We show that equivariant Lagrangian spheres in Cn satisfying mild geometric assumptions collapse to a point in finite time and the tangent flows converge to a Lagrangian plane with multiplicity two.
The similar case of the kinematic dynamo in a full-sphere (i.e., no inner sphere), but with boundary conditions that mimic the tangent cylinder flow of spherical Couette (polar caps that rotate at a different rate from the rest of the spherical boundary), was studied by Schaeffer and Cardin (2006).
The temporal distance (TD) of a path between two nodes is calculated by spatial distance divided by the tangent component of flow velocity along the path, and the STD is searched using the Dijkstra algorithm in all possible paths between two nodes.
Recently, Akbar et al. (2013) have discussed the two dimensional tangent hyperbolic fluid flow over a stretching in the presence of magnetic field.
A numerical solution of MHD flow of tangent hyperbolic fluid model over a stretching cylinder is obtained in this paper.
The results of this study demonstrated that the developed SVE was capable to produce swirly updraft flow with tangent to axial velocity ratio of 7.5 at the top exit plane of the VGE.
On a fine LES grid, a validation simulation performed with a hyperbolic tangent inflow profile produces flow statistics that compare extremely well with reference Direct Numerical Simulation (DNS) data.
Nadeem and Maraj (2013) initiated the mathematical analysis for peristaltic flow of tangent hyperbolic fluid in a curved channel.
Malik et al. (2015) have used Keller box method to study MHD flow of tangent hyperbolic fluid under the influence of stretching cylinder.
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