## Étude de la conduction stationnaire dans un domaine comportant une répartition périodique d’inclusions minces de grande conductivité.(French)Zbl 0587.35041

We study the stationary heat equation in a domain which comprises an $$\epsilon$$ Y-periodic distribution of thin inclusions of thickness $$e\epsilon$$. The limits (e$$\to 0$$ then $$\epsilon$$ $$\to 0)$$, ($$\epsilon$$ $$\to 0$$ then $$e\to 0)$$ and lastly (e$$\to 0$$ and $$\epsilon$$ $$\to 0$$ together) give the same result; this shows that the relative order of magnitude between the two small parameters is without any influence upon the limit-behaviour.

### MSC:

 35K05 Heat equation 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 35B40 Asymptotic behavior of solutions to PDEs

### Keywords:

stationary heat equation; parameters; limit-behaviour
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### References:

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