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- W2340676547 abstract "After reformulate the incompressible Euler-$alpha$ equations in 3D smooth domain with Drichlet data, we obtain the unique classical solutions to Euler-$alpha$ equations exist in uniform time interval independent of $alpha$. We also show the solution of the Euler-$alpha$ converge to the corresponding solution of Euler equation in $L^2$ in space, uniformly in time. In the sequel, it follows that the $H^s$ $(s>frac{n}{2}+1)$ solutions of Euler-$alpha$ equations exist in any fixed sub-interval of the maximum existent interval for the Euler equations provided that initial is regular enough and $alpha$ is small sufficiently." @default.
- W2340676547 created "2016-06-24" @default.
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- W2340676547 date "2016-04-14" @default.
- W2340676547 modified "2023-09-27" @default.
- W2340676547 title "The uniform time of existence of the smooth solution for 3D Euler-$alpha$ equations with Dirichlet boundary conditions" @default.
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