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stationary Navier-Stokes equations; non-vanishing outflow; 2-dimensional semi-infinite channel; symmetry

References:

[1] Amick, C. J.: **Steady solutions of the Navier-Stokes equations for certain unbounded channels and pipes**. Ann. Scuola Norm. Sup. Pisa 4 (1977), 473–513. MR 0510120

[2] Amick, C. J.: **Properties of steady Navier-Stokes solutions for certain unbounded channel and pipes**. Nonlinear Analysis, Theory, Methods & Applications, Vol. 2 (1978), 689–720. MR 0512162

[3] Fujita, H.: **On the existence and regularity of the steady-state solutions of the Navier-Stokes equation**. J. Fac. Sci., Univ. Tokyo, Sec. I 9 (1961), 59–102. MR 0132307 | Zbl 0111.38502

[4] Fujita, H.: **On stationary solutions to Navier-Stokes equations in symmetric plane domains under general out-flow condition**. Proceedings of International Conference on Navier-Stokes Equations, Theory and Numerical Methods, June 1997, Varenna Italy, Pitman Reseach Notes in Mathematics 388, pp. 16–30. MR 1773581

[5] Galdi, G. P.: **An Introduction to the Mathematical Theory of the Navier-Stokes Equations**. Springer, 1994. Zbl 0949.35005

[6] Ladyzhenskaya, O. A.: **The Mathematical Theory of Viscous Incompressible Flow**. Gordon and Breach, New York, 1969. MR 0254401 | Zbl 0184.52603

[7] Morimoto, H., Fujita, H.: **A remark on existence of steady Navier-Stokes flows in a certain two dimensional infinite tube**. Technical Reports Dept. Math., Math-Meiji 99-02, Meiji Univ.

[8] Morimoto, H., Fujita, H.: **On stationary Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition**. NSEC7, Ferrara, Italy,.