# The topological asymptotic for the Navier-Stokes equations

ESAIM: Control, Optimisation and Calculus of Variations (2005)

- Volume: 11, Issue: 3, page 401-425
- ISSN: 1292-8119

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topAmstutz, Samuel. "The topological asymptotic for the Navier-Stokes equations." ESAIM: Control, Optimisation and Calculus of Variations 11.3 (2005): 401-425. <http://eudml.org/doc/245810>.

@article{Amstutz2005,

abstract = {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.},

author = {Amstutz, Samuel},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {shape optimization; topological asymptotic; Navier-Stokes equations; asymptotic expansion of a shape functional; no-slip condition},

language = {eng},

number = {3},

pages = {401-425},

publisher = {EDP-Sciences},

title = {The topological asymptotic for the Navier-Stokes equations},

url = {http://eudml.org/doc/245810},

volume = {11},

year = {2005},

}

TY - JOUR

AU - Amstutz, Samuel

TI - The topological asymptotic for the Navier-Stokes equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2005

PB - EDP-Sciences

VL - 11

IS - 3

SP - 401

EP - 425

AB - 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.

LA - eng

KW - shape optimization; topological asymptotic; Navier-Stokes equations; asymptotic expansion of a shape functional; no-slip condition

UR - http://eudml.org/doc/245810

ER -

## References

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