Statistically stationary solutions of the Navier-Stokes equations in an annular channel. Hydrodynamic characteristics and space-time structure

Periodic solutions of the Navier–Stokes

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

✍ 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