Asymptotic behavior for strong solutions of the Navier–Stokes equations with external forces

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00402-2 ◽

2001 ◽

Vol 45 (4) ◽

pp. 435-446 ◽

Author(s):

Songmu Zheng

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

External Forces

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Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum

Nonlinearity ◽

10.1088/1361-6544/aab31f ◽

2018 ◽

Vol 31 (6) ◽

pp. 2617-2632 ◽

Author(s):

Boqiang Lü ◽

Xiaoding Shi ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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Asymptotic behavior of strong solutions to the 3D Navier–Stokes equations with a nonlinear damping term

Nonlinear Analysis ◽

10.1016/j.na.2012.04.014 ◽

2012 ◽

Vol 75 (13) ◽

pp. 5002-5009 ◽

Author(s):

Zaihong Jiang

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Strong Solutions ◽

Nonlinear Damping ◽

Navier Stokes ◽

Damping Term ◽

Navier Stokes Equations

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Asymptotic behavior for the Navier–Stokes equations with nonzero external forces

Nonlinear Analysis ◽

10.1016/j.na.2008.10.074 ◽

2009 ◽

Vol 71 (12) ◽

pp. e292-e302 ◽

Author(s):

Hyeong-Ohk Bae ◽

Lorenzo Brandolese ◽

Bum Ja Jin

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

External Forces

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Time periodic strong solutions to the incompressible Navier–Stokes equations with external forces of non-divergence form

Journal of Differential Equations ◽

10.1016/j.jde.2017.08.038 ◽

2017 ◽

Vol 263 (12) ◽

pp. 8229-8263 ◽

Author(s):

Takahiro Okabe ◽

Yohei Tsutsui

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Divergence Form ◽

Navier Stokes ◽

Navier Stokes Equations ◽

External Forces ◽

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Existence and Asymptotic Behavior for Strong Solutions of the Navier-Stokes Equations in the Whole Space

Dynamical Problems in Continuum Physics - The IMA Volumes in Mathematics and Its Applications ◽

10.1007/978-1-4612-1058-0_4 ◽

1987 ◽

pp. 79-87

Author(s):

H. Beirao da Veiga

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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ASYMPTOTIC BEHAVIOR OF STRONG SOLUTIONS TO 2D g-NAVIER-STOKES EQUATIONS

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2014.29.4.505 ◽

2014 ◽

Vol 29 (4) ◽

pp. 505-518 ◽

Author(s):

Dao Trong Quyet

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Optimal convergence rates for the strong solutions to the compressible Navier–Stokes equations with potential force

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.09.005 ◽

2017 ◽

Vol 34 ◽

pp. 363-378 ◽

Author(s):

Wenjun Wang

Keyword(s):

Convergence Rates ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Potential Force ◽

Navier Stokes Equations ◽

Optimal Convergence ◽

Optimal Convergence Rates

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Global well-posedness of strong solutions to the two-dimensional barotropic compressible Navier–Stokes equations with vacuum

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0619-1 ◽

2016 ◽

Vol 67 (2) ◽

Author(s):

Li Fang ◽

Zhenhua Guo

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Well Posedness ◽

Two Dimensional ◽

Navier Stokes Equations

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Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains

Analysis ◽

10.1524/anly.2013.1134 ◽

2013 ◽

Vol 33 (2) ◽

pp. 101-120 ◽

Author(s):

Reinhard Farwig ◽

Christian Komo

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Exterior Domains ◽

Initial Value ◽

Navier Stokes Equations ◽

Local Strong Solutions

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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS FOR A 1D ISOTHERMAL VISCOUS GAS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202508003078 ◽

2008 ◽

Vol 18 (08) ◽

pp. 1383-1408 ◽

Author(s):

YUMING QIN ◽

YANLI ZHAO

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Stokes Equations ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Navier Stokes ◽

Asymptotic Behavior Of Solutions ◽

Navier Stokes Equations ◽

Viscous Gas ◽

Initial Boundary Value

In this paper, we prove the global existence and asymptotic behavior of solutions in Hi(i = 1, 2) to an initial boundary value problem of a 1D isentropic, isothermal and the compressible viscous gas with an non-autonomous external force in a bounded region.

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