Preprint
Article
Solutions and Drift Homogenization for a Class of Viscous Lake Equations in
This version is not peer-reviewed.
Submitted:
05 November 2021
Posted:
08 November 2021
You are already at the latest version
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.
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Downloads
129
Views
128
Comments
0
Subscription
Notify me about updates to this article or when a peer-reviewed version is published.
MDPI Initiatives
Important Links
© 2025 MDPI (Basel, Switzerland) unless otherwise stated