Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations

Kozono H.

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Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations

机译：Navier-Stokes方程大扰动的大解的渐近稳定性

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Consider weak solutions w of the Navier-Stokes equations in Serrin's class w is an element of L-alpha(0, infinity; L-q(Omega)) for 2/alpha + 3/q = 1 with 3 < q less than or equal to infinity, where Omega is a general unbounded domain in R-3. We shall show that although the initial and external disturbances from w are large, every perturbed flow upsilon with the energy inequality converges asymptotically to w as upsilon(t) - w(t)(L2(Omega)) --> 0, del upsilon(t) - del w(t)(L2(Omega)) = O(t(-1/2)) as t --> infinity. (C) 2000 Academic Press. [References: 31]

机译：考虑Serrin类中的Navier-Stokes方程的弱解w对于2 / alpha + 3 / q = 1且3 0， del upsilon（t）-del w（t）（L2Omega）= O（t（-1/2））as t-> infinity。（C）2000学术出版社。 [参考：31]

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《Journal of Functional Analysis》 |2000年第2期|共45页
作者
Kozono H.;
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正文语种 eng
中图分类数学;
关键词
Serrin's class; Asymptotic stability; Energy inequality; L-p-l-r-estimates; Weak solutions; Exterior domains; Decay; Stationary; Spaces; Flows; L2;

机译：Serrin类别;渐近稳定性;能量不等式;L-p-l-r-估计;弱解;外域;衰变;平稳;空间;流;L2;

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1. Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations [J] . Kozono H. Journal of Functional Analysis . 2000,第2期

机译：Navier-Stokes方程大扰动的大解的渐近稳定性
2. STABILITY OF STATIONARY SOLUTIONS TO THE INFLOW PROBLEM FOR FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A LARGE INITIAL PERTURBATION [J] . Hong Hakho, Wang Teng SIAM Journal on Mathematical Analysis . 2017,第3期

机译：具有大型初始扰动的全压缩Navier-Stokes方程稳定性解决方案的稳定性
3. Stability of stationary solutions to the outflow problem for full compressible Navier-Stokes equations with large initial perturbation [J] . Wan Ling, Wang Tao, Zou Qingyang Nonlinearity . 2016,第4期

机译：具有大初始扰动的完全可压缩Navier-Stokes方程的流出问题的平稳解的稳定性
4. ON THE STABILITY AND ASYMPTOTIC STABILITY OF STEADY SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN UNBOUNDED DOMAINS [C] . F. CRISPO Meeting on Waves and Stability in Continuous Media . 2006

机译：关于无界域的Navier-Stokes方程稳态和渐近稳定性
5. The influence of surface perturbations and laminar separation bubble on boundary layer instability by direct numerical solution of the Navier-Stokes equations. [D] . Elli, Shahram. 1992

机译：通过Navier-Stokes方程的直接数值解，表面扰动和层流分离气泡对边界层不稳定性的影响。
6. On the Uniform Convergence of the Solutions of the Navier-Stokes Equations [O] . T. Y. Thomas 1943

机译：Navier-Stokes方程解的一致收敛性
7. Asymptotics and stability for global solutions to the Navier-Stokes equations [O] . Isabelle Gallagher, Dragoș Iftimie, Fabrice Planchon 2014

机译：Navier-stokes方程全局解的渐近性和稳定性
8. TIME-ASYMPTOTIC SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR FREE SHEAR FLOWS USING AN ALTERNATING-DIRECTION IMPLICIT METHOD [R] . David H. Rudy, Dana J. Morris 1976

机译：用交替方向隐式方法求解自由剪切流的Navier-stokes方程的时间渐近解

Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations

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