Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case
Ryunosuke Kusaba
TL;DR
This paper develops higher order asymptotic expansions for solutions to the convection-diffusion equation in the Fujita-subcritical case, improving previous results and analyzing decay rates of remainders.
Contribution
It introduces higher order asymptotic expansions with decay estimates, extending and refining prior work by Zuazua (1993).
Findings
Established higher order asymptotic expansions.
Derived decay estimates for remainders.
Discussed optimality of decay rates.
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.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods · Nonlinear Partial Differential Equations