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

2024/06/03 by Ryunosuke Kusaba, Kusaba, Ryunosuke · 1 citation
Computer Science · Mathematics · #35B40 #35C20 #35K58 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2406.01777

openalex publication_date 2024/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the asymptotic behavior 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 rates of the remainders.

Cited by

• Nonlinear distortion of symmetry in solutions to the convection-diffusion equation of Burgers type

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