A family of artificial boundary conditions for the linear advection diffusion equation with small viscosity is developed. Well-posedness for the associated initial ...
This is a preview. Log in through your library . Abstract We carry out an asymptotic analysis as t → ∞ for the nonlinear advection diffusion equation, ∂tu = 2αu∂xu + ∂x(u∂xu), where α is a constant.
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