Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane

P. Maremonti, S. Shimizu

We investigate the Navier-Stokes initial boundary value problem in the half-plane $R_{+}^2$ with initial data $u_0\in L^{\infty }(R_{+}^2)\cap J_0^2(R_{+}^2)$ or with non decaying initial…