Vanishing viscous limits for the 2D lake equations with Navier boundary conditions |
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| Authors: | Quansen Jiu Dongjuan Niu |
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| Affiliation: | a School of Mathematical Sciences, Capital Normal University, Beijing 100037, PR China
b Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, PR China |
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| Abstract: | The vanishing viscosity limit is considered for the viscous lake equations with Navier friction boundary conditions. We prove that the inviscid limit satisfies the inviscid lake equations, and the results include flows generated by Lp initial vorticity with 1<p?∞. |
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| Keywords: | Viscous lake equations Inviscid limit Navier boundary conditions |
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