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

Youcef Amirat | Zendy; Arnaud Münch | Zendy

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

Author(s) -

Youcef Amirat,

Arnaud Münch

Publication year - 2019

Publication title -

asymptotic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.576

H-Index - 45

eISSN - 1875-8576

pISSN - 0921-7134

DOI - 10.3233/asy-181497

Subject(s) - controllability , advection , scalar (mathematics) , diffusion , mathematics , boundary (topology) , mathematical analysis , asymptotic expansion , asymptotic analysis , physics , thermodynamics , geometry

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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