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Time-Periodic Solutions of the Navier-Stokes Equations in Unbounded Cylindrical Domains – Leray's Problem for Periodic Flows

✍ Scribed by H. Beirão da Veiga


Publisher
Springer
Year
2005
Tongue
English
Weight
235 KB
Volume
178
Category
Article
ISSN
0003-9527

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Periodic solutions of the Navier–Stokes
✍ Takayuki Kubo 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 151 KB 👁 1 views

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