Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations.
Asymptotic behavior of the solutions to a one-dimensional motion of compressible viscous fluids
We study the one-dimensional motion of the viscous gas represented by the system , , with the initial and the boundary conditions , . We are concerned with the external forces, namely the function , which do not become small for large time . The main purpose is to show how the solution to this problem behaves around the stationary one, and the proof is based on an elementary -energy method.
Asymptotic behaviour for the solution of the compressible Navier-Stokes equation, when the compressibility goes to zero
Asymptotic Behaviour of the density for one-dimensional navier-stokes equations.
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral
Asymptotic stability of Navier-Stokes flow past an obstacle
Results on the asymptotic stability of solutions of the exterior Navier-Stokes problem in ℝ³ are proved in the framework of weak spaces.
Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid
Asymptotics and stability for global solutions to the Navier-Stokes equations
We consider an a priori global strong solution to the Navier-Stokes equations. We prove it behaves like a small solution for large time. Combining this asymptotics with uniqueness and averaging in time properties, we obtain the stability of such a global solution.
Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity
Asypmtotic Behaviour in Lr for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.
Attractor for a Navier-Stokes flow in an unbounded domain
Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.