Lp-SOLUTIONS OF THE STEADY-STATE NAVIER–STOKES WITH ROUGH EXTERNAL FORCES
نویسندگان
چکیده
In this paper we address the existence, the asymptotic behavior and stability in L and L, 3 2 < p ≤ ∞, for solutions to the steady state 3D Navier-Stokes equations with possibly very singular external forces. We show that under certain smallness conditions of the forcing term there exists solutions to the stationary Navier-Stokes equations in L spaces, and we prove the stability of these solutions as fixed points of the non-stationary Navier–Stokes. The non-stationary solutions can be large. We also give non-existence results of stationary solutions in L, for 1 ≤ p ≤ 3 2 .
منابع مشابه
L-Solutions of the Steady-State Navier–Stokes Equations with Rough External Forces
In this paper we address the existence, the asymptotic behavior and stability in L and L , 3 2 < p ≤ , for solutions to the steady state 3D Navier–Stokes equations with possibly very singular external forces. We show that under certain smallness conditions of the forcing term there exists solutions to the stationary Navier–Stokes equations in L spaces, and we prove the stability of these soluti...
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