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arXiv · 1712.02588

Asymptotic analysis of an $\varepsilon$-Stokes problem connecting Stokes and pressure-Poisson problems

Kazunori Matsui·Adrian Muntean
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Abstract

In this Note, we prepare an $\varepsilon$-Stokes problem connecting the Stokes problem and the corresponding pressure-Poisson equation using one parameter $\varepsilon>0$. We prove that the solution to the $\varepsilon$-Stokes problem, convergences as $\varepsilon$ tends to 0 or $\infty$ to the Stokes and pressure-Poisson problem, respectively.

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Kazunori Matsui, Adrian Muntean. 2017-12-07. Asymptotic analysis of an $\varepsilon$-Stokes problem connecting Stokes and pressure-Poisson problems. https://arxiv.org/abs/1712.02588

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