Existence of solution of Rayleigh-type equation on semi-infinite cylinder with Coulomb-type potential

R. K. Gaydukov

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 1, pp. 178-187

Résumé

In this paper we study a Rayleigh-type equation on a semi-infinite cylinder with a Coulomb-type potential. This equation arises in the double-deck boundary layer structure in the problem of flow induced by a uniformly rotating disk with small periodic irregularities on its surface for large Reynolds numbers. Using combined numerical and analytical approach, the existence of a unique solution to the Rayleigh-type equation is proven.

Détail

Keywords: existence and uniqueness of solution, Rayleigh-type equation, double-deck structure.

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