We use the method of the topological degree, the theory of fractional powers of positive operators, and the Grisvard formula together with results proved by G. Raugel and G. R. Sell to study the periodic solutions of the incompressible Navier-Stokes equations in a thin three-dimensional domain. © 2000 Plenum Publishing Corporation.
Johnson, R., Nistri, P., Kamenskii, M. (2000). On the existence of periodic solutions of the Navier-Stokes equations in a thin domain using the topological degree. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 12(4), 681-712 [10.1023/A:1009076604114].
On the existence of periodic solutions of the Navier-Stokes equations in a thin domain using the topological degree
Nistri P.;
2000-01-01
Abstract
We use the method of the topological degree, the theory of fractional powers of positive operators, and the Grisvard formula together with results proved by G. Raugel and G. R. Sell to study the periodic solutions of the incompressible Navier-Stokes equations in a thin three-dimensional domain. © 2000 Plenum Publishing Corporation.
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https://hdl.handle.net/11365/17616
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