Error estimates for semi-Galerkin approximations of nonhomogeneous incompressible fluids
نویسندگان
چکیده
We consider the spectral semi-Galerkin method applied to the nonhomogeneous Navier-Stokes equations. Under certain conditions it is known that the approximate solutions constructed through this method converge to a global strong solution of these equations. Here, we derive an optimal uniform in time error estimate in the H norm for the velocity. We also derive an error estimate for the density in some spaces L.
منابع مشابه
Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids
We consider spectral semi-Galerkin approximations for the strong solutions of the nonhomogeneous Navier-Stokes equations. We derive an optimal uniform in time error bound in the H 1 norm for approximations of the velocity. We also derive an error estimate for approximations of the density in some spaces L r .
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