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- W1997593485 abstract "We consider the flow of an ideal fluid in a 2D bounded domain, admitting flows through the boundary of this domain. The flow is described by Euler equations with non-homogeneous Navier slip boundary conditions. These conditions can be written in the form v⋅n=a, 2D(v)n⋅s+αv⋅s=b, where the tensor D(v) is the rate of strain of the fluid’s velocity v and (n,s) is the pair formed by the normal and tangent vectors to the boundary. We establish the solvability of this problem for the class of solutions with Lp-bounded vorticity, p∈(2,∞]. To prove the solvability we realize the passage to the limit in Navier–Stokes equations with vanishing viscosity." @default.
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- W1997593485 date "2008-01-01" @default.
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- W1997593485 title "Euler equations with non-homogeneous Navier slip boundary conditions" @default.
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- W1997593485 doi "https://doi.org/10.1016/j.physd.2007.08.012" @default.
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