@Article{JCM-19-1, author = {}, 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} }