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Periodic solutions of the Navier–Stokes equations in a perturbed half-space and an aperture domain

✍ Scribed by Takayuki Kubo

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
151 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

We shall construct a periodic strong solution of the Navier-Stokes equations for some periodic external force in a perturbed half-space and an aperture domain of the dimension n¿3. Our proof is based on L p -L q estimates of the Stokes semigroup. We apply L p -L q estimates to the integral equation which is transformed from the original equation. As a result, we obtain the existence and uniqueness of periodic strong solutions.

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