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. Preprints2021, 2021110139. https://doi.org/10.20944/preprints202111.0139.v1
Tong, M. Solutions and Drift Homogenization for a Class of Viscous Lake Equations in. Preprints 2021, 2021110139. https://doi.org/10.20944/preprints202111.0139.v1
Tong, M. Solutions and Drift Homogenization for a Class of Viscous Lake Equations in. Preprints2021, 2021110139. https://doi.org/10.20944/preprints202111.0139.v1
APA Style
Tong, M. (2021). Solutions and Drift Homogenization for a Class of Viscous Lake Equations in. Preprints. https://doi.org/10.20944/preprints202111.0139.v1
Chicago/Turabian Style
Tong, M. 2021 "Solutions and Drift Homogenization for a Class of Viscous Lake Equations in" Preprints. https://doi.org/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
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
