arXiv:2406.01777 Abstract | arXiv Analytics

arXiv:2406.01777 [math.AP]Abstract References Reviews Resources

Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case

Published 2024-06-03Version 1

This paper is devoted to the asymptotic expansions of global solutions to the convection-diffusion equation in the Fujita-subcritical case. We improve the result by Zuazua (1993) and establish higher order asymptotic expansions with decay estimates of the remainders. We also discuss the optimality for the decay rate of the remainder.

Comments: 42 pages

Categories: math.AP

Subjects: 35K58, 35B40, 35C20

Keywords: convection-diffusion equation, fujita-subcritical case, establish higher order asymptotic expansions, global solutions, decay estimates

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