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Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space

Yoshiyuki Kagei, Takayuki Kobayashi (2005)

Banach Center Publications

Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations.

Lorenzo Brandolese (2004)

Revista Matemática Iberoamericana

Asymptotic behavior of the solutions to a one-dimensional motion of compressible viscous fluids

Shigenori Yanagi (1995)

Mathematica Bohemica

We study the one-dimensional motion of the viscous gas represented by the system $v_{t} - u_{x} = 0$ , $u_{t} + p {(v)}_{x} = μ {(u_{x} / v)}_{x} + f (\int_{0}^{x} v \ddot{x}, t)$ , with the initial and the boundary conditions $(v (x, 0), u (x, 0)) = (v_{0} (x), u_{0} (x))$ , $u (0, t) = u (X, t) = 0$ . We are concerned with the external forces, namely the function $f$ , which do not become small for large time $t$ . 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 $L^{2}$ -energy method.

Asymptotic behaviour for the solution of the compressible Navier-Stokes equation, when the compressibility goes to zero

Stéphane Added, Hélène Added (1987)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Asymptotic Behaviour of the density for one-dimensional navier-stokes equations.

Alberto Valli, Ivan Straskraba (1988)

Manuscripta mathematica

Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral

D. Gilbarg, H. F. Weinberger (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Asymptotic stability of Navier-Stokes flow past an obstacle

Piotr Biler, Marco Cannone, Grzegorz Karch (2004)

Banach Center Publications

Results on the asymptotic stability of solutions of the exterior Navier-Stokes problem in ℝ³ are proved in the framework of weak $L^{p}$ spaces.

Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid

L. Miguel Rodrigues (2009)

Annales de l'I.H.P. Analyse non linéaire

Asymptotics and stability for global solutions to the Navier-Stokes equations

Isabelle Gallagher, Dragos Iftimie, Fabrice Planchon (2003)

Annales de l’institut Fourier

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

S. A. Nazarov, K. Pileckas (1998)

Rendiconti del Seminario Matematico della Università di Padova

Asypmtotic Behaviour in Lr for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.

Hideo Kozono, T. Ogawa, H. Sohr (1992)

Manuscripta mathematica

Attractor for a Navier-Stokes flow in an unbounded domain

F. Abergel (1989)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component

Jiří Neustupa, Milan Pokorný (2001)

Mathematica Bohemica

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.

Displaying 101 – 113 of 113

Currently displaying 101 – 113 of 113