Non-Stationary Stokes Flows Under Leak Boundary Conditions of Friction Type

Non-Stationary Stokes Flows Under Leak Boundary Conditions of Friction Type

Year:    2001

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 1–8

Abstract

This paper is concerned with the initial value problem for non-stationary Stokes flows, under a certain non-linear boundary condition which can be called the leak boundary condition of friction type. Theoretically, our main purpose is to show the strong solvability (i.e., the unique existence of the $L^2$-strong solution) of this initial problem by means of the non-linear semi-group theory originated with Y. Kōmura. The method of analysis can be applied to other boundary or interface conditions of friction type. It should be noted that the result yields a sound basis of simulation methods for evolution problems involving these conditions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8951

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 1–8

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Stokes equation Leak boundary condition Nonlinear semigroup.