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arXiv · 1311.7643

General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media, I

Jose A. Barrionuevo·Lucas S. Oliveira·Paulo. R. Zíngano
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Abstract

We derive general bounds for the large time size of supnorm values of solutions to one-dimensional advection-diffusion equations with initial data in Lp0 (R) \cap L1 for some 1 <= p0 < \infty, and arbitrary bounded advection speeds b(x, t), introducing techniques based on suitable energy arguments. Some open problems and related results are also given.

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Jose A. Barrionuevo, Lucas S. Oliveira, Paulo. R. Zíngano. 2013-11-29. General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media, I. https://arxiv.org/abs/1311.7643

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