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Volume 19, Issue 1
Non-Stationary Stokes Flows Under Leak Boundary Conditions of Friction Type

Hiroshi Fujita

J. Comp. Math., 19 (2001), pp. 1-8.

Published online: 2001-02

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  • 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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@Article{JCM-19-1, author = {Hiroshi Fujita}, title = {Non-Stationary Stokes Flows Under Leak Boundary Conditions of Friction Type}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8951.html} }
TY - JOUR T1 - Non-Stationary Stokes Flows Under Leak Boundary Conditions of Friction Type AU - Hiroshi Fujita JO - Journal of Computational Mathematics VL - 1 SP - 1 EP - 8 PY - 2001 DA - 2001/02 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8951.html KW - Stokes equation, Leak boundary condition, Nonlinear semigroup. AB -

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.

Hiroshi Fujita. (2001). Non-Stationary Stokes Flows Under Leak Boundary Conditions of Friction Type. Journal of Computational Mathematics. 19 (1). 1-8. doi:
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