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In the study of incompressible fluid, one fundamental phenomenon that arises in a wide variety of application is dissipation enhancement by so-called mixing flow. In this talk, I will give a brief int...
We consider perhaps the simplest non-trivial problem in advectiondiffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Applying the semi-Lagrangian method to discretize the advection of momentum eliminates the Courant number constraint associated with explicit Eulerian momentum advection in coastal ocean models. Key s...
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
We analyse conditions for an evolution equation with a drift and fractional diffusion to have a H¨older continuous solution. In case the diffusion is of order one or more, we obtain H¨older estimates ...
In this paper we have solved the one-dimensional advection-dispersion equation with reaction using some finite-difference methods, namely, FTCS used by B.Ataie-Ashtiani et al. (1996), (we call it FTCS...

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