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• W2073242110 abstract "We consider the Stokes equations under some nonlinear boundary conditions, which are described in terms of subdifferentials of maximal monotone graphs and are called leak and slip boundary conditions of friction type. The main objective is to show the existence of strong solutions, say u ∈ _H_2 and p ∈ _H_1, to these problems. We start with weak solutions to variational inequalities, and then study the regularity of weak solutions. Our main theorems imply the maximality of Stokes operators with such nonlinear boundary conditions in a suitable Hilbert space and they are of use in analysis of time-dependent problems. Linear boundary conditions of Neumann type, such as slip and penetration conditions, are also discussed." @default.
• W2073242110 created "2016-06-24" @default.
• W2073242110 creator A5014301754 @default.
• W2073242110 date "2004-01-01" @default.
• W2073242110 modified "2023-09-27" @default.
• W2073242110 title "On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions" @default.
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• W2073242110 doi "https://doi.org/10.2977/prims/1145475807" @default.
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