Optimal decay rate for the 2-D compressible Oldroyd-B and Hall-MHD model

2021/10/24 by Zhaonan Luo, Wei Luo, Luo, Zhaonan +3 · 1 citation
Mathematics · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Gas Dynamics and Kinetic Theory

paper · pdf · doi:10.48550/arxiv.2110.12330

Abstract

In this paper, we are concerned with long time behavior of the strong solutions to the 2-D compressible Oldroyd-B and Hall-MHD model. By virtue of the improved Fourier splitting method and the time weighted energy estimate, we obtain the L² decay rate (1+t)^-(1)/(4). According to the Littlewood-Paley theory, we prove that the solutions belong to the critical Besov space with negative index. Finally, we show optimal decay rate in H²-framework without the smallness restriction of low frequencies.

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• Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion

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