Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

The paper is concerned with the vanishing viscosity limit of the two-dimensional degenerate viscous lake equations when the Navier slip conditions are prescribed on the impermeable boundary of a simply connected bounded regular domain. When the initial vorticity is in the Lebesgue space $L^q$ with $2

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