Asymptotics of solutions to a convection—diffusion equation on the half-line

Grzegorz Karch · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2000

We study the behaviour, as t → ∞, of solutions to the convectiondiffusion equation on the half-line with the homogeneous Neumann boundary condition and with bounded initial data. The higher-order terms of the asymptotic expansion in L p (R + ) of solutions are derived.

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