Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Solutions and Drift Homogenization for a Class of Viscous Lake Equations in

Version 1 : Received: 5 November 2021 / Approved: 8 November 2021 / Online: 8 November 2021 (13:10:30 CET)

How to cite: Tong, M. Solutions and Drift Homogenization for a Class of Viscous Lake Equations in. Preprints 2021, 2021110139 (doi: 10.20944/preprints202111.0139.v1). Tong, M. Solutions and Drift Homogenization for a Class of Viscous Lake Equations in. Preprints 2021, 2021110139 (doi: 10.20944/preprints202111.0139.v1).

Abstract

In this paper we study solutions and drift homogenization for a class of viscous lake equations by using the method of semigroups of bounded operators. Suppose that the initial value i.e.,for some Hölder continuous function onwith smooth function value satisfying and Then the initial value problem (2) for viscous lake equations has a unique smooth local strong solution. Using this result we study the drift homogenization for three-dimensional stationary Stokes equation in the usual sense

Keywords

viscous lake equations,Navier-Stokes equation, Existence and uniqueness, Semigroup of operators, Fractional powers.

Subject

MATHEMATICS & COMPUTER SCIENCE, Analysis

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