分野別セミナー

In the present talk, we discuss an asymptotic behavior of a spherically symmetric solution on the exterior domain of an unit ball for the compressible Navier-Stokes equation, describing a motion of viscous barotropic gas. Especially we study outflow problem, that is, the fluid blows out a through boundary. Precisely we obtain the property of the stationary solution and the convergence rate as the spatial variable tends to infinity. Then we show the time global existence of the solution and it converges to the stationary solution as time tends to infinity. Here any smallness assumption of initial data is not imposed. We also make mention of the stability theorem for inflow problem.

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