- 25/07/2013Asymptotic behaviour of solutions to the stationary Navier-Stokes equations... [0:32]1689VN3-2258-2013-2014-07-25Movie 1 related to Asymptotic behaviour of solutions to the stationary Navier-Stokes equations in two dimensional exterior domains with zero velocity at infinity (arXiv:1307.6807).
Legend: Wake of the velocity |x|1/3|u(x,y)| with the boundary condition u* = λ(1,0) as a function of λ. As λ gets smaller, the parameter a and the net force get also smaller, so that the amplitude of the wake decreases, and the wake becomes wider. - 25/07/2013Asymptotic behaviour of solutions to the stationary Navier-Stokes equations... [0:28]256VN3-2258-2013-2014-07-25-AMovie 2 related to Asymptotic behaviour of solutions to the stationary Navier-Stokes equations in two dimensional exterior domains with zero velocity at infinity (arXiv:1307.6807).
Legend: Wake of the velocity |x|1/3|u(x,y)| for the boundary condition u* = λ(1,0) + μ (-y,x) as a function of μ. The wake changes orientation as μ increases, but the shape remains unchanged. Just before the critical value μ = √48, the wake amplitude decreases, the orientation changes more rapidly, and the wake disappears quickly.
Legend: Wake of the velocity |x|1/3|u(x,y)| with the boundary condition u* = λ(1,0) as a function of λ. As λ gets smaller, the parameter a and the net force get also smaller, so that the amplitude of the wake decreases, and the wake becomes wider.