一类平流扩散方程的渐近分析及其在边界可控性上的应用

Asymptot. Anal. Pub Date : 2019-01-01 DOI:10.3233/ASY-181497

Y. Amirat, A. Münch

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引用次数: 10

摘要

我们对标量平流扩散方程ye t - ey e xx +M ye x = 0， (x, t)∈(0,1)x (0, t)关于扩散系数e进行渐近分析。我们使用匹配渐近展开方法，该方法允许描述解的边界层。然后利用渐近性讨论了T≥1/M时解的可控性。

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Asymptotic analysis of an advection-diffusion equation and application to boundary controllability

We perform the asymptotic analysis of the scalar advection-diffusion equation y e t −ey e xx +M y e x = 0, (x, t) ∈ (0, 1) × (0, T), with respect to the diffusion coefficient e. We use the matched asymptotic expansion method which allows to describe the boundary layers of the solution. We then use the asymptotics to discuss the controllability property of the solution for T ≥ 1/M .

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Asymptot. Anal.

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