The topological asymptotic for the Navier-Stokes equations
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 3, pp. 401-425.

The aim of the topological asymptotic analysis is to provide an asymptotic expansion of a shape functional with respect to the size of a small inclusion inserted inside the domain. The main field of application is shape optimization. This paper addresses the case of the steady-state Navier-Stokes equations for an incompressible fluid and a no-slip condition prescribed on the boundary of an arbitrary shaped obstacle. The two and three dimensional cases are treated for several examples of cost functional and a numerical application is presented.

DOI : https://doi.org/10.1051/cocv:2005012
Classification : 35J60,  49Q10,  49Q12,  76D05,  76D55
Mots clés : shape optimization, topological asymptotic, Navier-Stokes equations
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Amstutz, Samuel. The topological asymptotic for the Navier-Stokes equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 3, pp. 401-425. doi : 10.1051/cocv:2005012. http://www.numdam.org/articles/10.1051/cocv:2005012/

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