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.
On the existence of periodic solutions of the Navier-Stokes equations in a thin domain using the topological degree / R. Johnson; M. Kamenskii; P. Nistri. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 12:(2000), pp. 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
JOHNSON, RUSSELL ALLAN;
2000
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.
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