"1422-6928" . "RIV/67985840:_____/13:00389760!RIV13-AV0-67985840" . . "Neustupa, Ji\u0159\u00ED" . "I, P(GA201/08/0012)" . . . "Approximation of a solution to the Euler equation by solutions of the Navier\u2013Stokes equation" . . . "15" . "Approximation of a solution to the Euler equation by solutions of the Navier\u2013Stokes equation"@en . "000315093300010" . "1"^^ . . . "CH - \u0160v\u00FDcarsk\u00E1 konfederace" . "Approximation of a solution to the Euler equation by solutions of the Navier\u2013Stokes equation"@en . "2"^^ . "1" . "We show that a smooth solution u 0 of the Euler boundary value problem on a time interval (0, T 0) can be approximated by a family of solutions of the Navier\u2013Stokes problem in a topology of weak or strong solutions on the same time interval (0, T 0). The solutions of the Navier\u2013Stokes problem satisfy Navier\u2019s boundary condition, which must be \u201Cnaturally inhomogeneous if we deal with the strong solutions. We provide information on the rate of convergence of the solutions of the Navier\u2013Stokes problem to the solution of the Euler problem for \u03BD 0. We also discuss possibilities when Navier\u2019s boundary condition becomes homogeneous." . . . . "18"^^ . "[653FCB935506]" . . "Journal of Mathematical Fluid Mechanics" . . "10.1007/s00021-012-0125-y" . . . "Penel, P." . "RIV/67985840:_____/13:00389760" . "61897" . . . "Approximation of a solution to the Euler equation by solutions of the Navier\u2013Stokes equation" . "Euler equations; Navier-Stokes equations; weak solutions"@en . "We show that a smooth solution u 0 of the Euler boundary value problem on a time interval (0, T 0) can be approximated by a family of solutions of the Navier\u2013Stokes problem in a topology of weak or strong solutions on the same time interval (0, T 0). The solutions of the Navier\u2013Stokes problem satisfy Navier\u2019s boundary condition, which must be \u201Cnaturally inhomogeneous if we deal with the strong solutions. We provide information on the rate of convergence of the solutions of the Navier\u2013Stokes problem to the solution of the Euler problem for \u03BD 0. We also discuss possibilities when Navier\u2019s boundary condition becomes homogeneous."@en . .