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Finally, the yellow arrows indicate the possible channel for a hyperbolic diffusion of negatively charged particles.
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Numerical results confirm that the proposed scaling is critically important for rendering hyperbolic diffusion schemes independent of the grid unit and for achieving optimal performance of a hyperbolic diffusion solver.
A hyperbolic diffusion equation is derived by linearizing two phase flow equations of motion obtained previously by minimizing the rate of entropy production.
We present extended first-order N- and Rusanov-scheme formulations for a hyperbolic advection-diffusion system, and demonstrate that the hyperbolic diffusion term does not have any adverse effect on the solution of inviscid problems for a vanishingly small viscous coefficient.
A number of contributions have been made during the last decades to model pure-diffusive transport problems by using the so-called hyperbolic diffusion equations [M.
In general, the hyperbolic method can be an effective solution technique for diffusion problems, but instability is also observed for the discontinuous diffusion coefficient cases, which brings necessity for further investigation about the monotonicity preserving hyperbolic diffusion method.
This sense of shame has made for a hyperbolic retelling of the tale.
Furthermore, (u_{infty}) is a hyperbolic solution of problem (1.1 - 1.2).
Assume also that zero is a hyperbolic equilibrium of (1.6).
Since zero is a hyperbolic equilibrium of (1.6), for all.
With such a model, there may be a hyperbolic perception of pigmentation in darker-skinned women.
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