EXISTENCE OF SOLUTIONS OF THE $g$-NAVIER-STOKES EQUATIONS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500558459 ◽

2004 ◽

Vol 8 (1) ◽

pp. 85-102 ◽

Author(s):

Hyeong-Ohk Bae ◽

Jaiok Roh

Keyword(s):

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

Download Full-text

Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in L 3

Archiv der Mathematik ◽

10.1007/s00013-015-0772-3 ◽

2015 ◽

Vol 104 (6) ◽

pp. 539-550 ◽

Author(s):

Reinhard Farwig ◽

Tomoyuki Nakatsuka ◽

Yasushi Taniuchi

Keyword(s):

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Time Axis ◽

Navier Stokes Equations

Download Full-text

Vortex dynamics and the existence of solutions to the Navier–Stokes equations

The Physics of Fluids ◽

10.1063/1.866226 ◽

1987 ◽

Vol 30 (6) ◽

pp. 1606 ◽

Author(s):

Alain Pumir ◽

Eric D. Siggia

Keyword(s):

Vortex Dynamics ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

Download Full-text

Global existence of solutions to Navier–Stokes equations in cylindrical domains

Applicationes Mathematicae ◽

10.4064/am36-2-5 ◽

2009 ◽

Vol 36 (2) ◽

pp. 169-182 ◽

Author(s):

Bernard Nowakowski ◽

Wojciech M. Zajączkowski

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Global Existence Of Solutions ◽

Cylindrical Domains

Download Full-text

On the existence of solutions of the steady-state Navier-Stokes equations for a class of nonsmooth boundary data

Applications of Nonlinear Partial Differential Equations in Mathematical Physics - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/017/9932 ◽

1965 ◽

pp. 184-184

Author(s):

J. E. Edwards

Keyword(s):

Steady State ◽

Boundary Data ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Nonsmooth Boundary ◽

Navier Stokes Equations

Download Full-text

Existence of Solutions to the Nonhomogeneous Steady Navier-Stokes Equations.

10.21236/ada129171 ◽

1983 ◽

Author(s):

Charles J. Amick

Keyword(s):

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

Download Full-text

Existence of solutions for the Navier-Stokes equations, having an infinite dissipation of energy, in a class of domains with noncompact boundaries

Journal of Soviet Mathematics ◽

10.1007/bf01788925 ◽

1984 ◽

Vol 25 (1) ◽

pp. 932-948 ◽

Author(s):

K. I. Piletskas

Keyword(s):

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Dissipation Of Energy

Download Full-text

Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200310080 ◽

2004 ◽

Vol 84 (6) ◽

pp. 417-424 ◽

Author(s):

P.B. Mucha ◽

W.M. Zaj??czkowski

Keyword(s):

Dirichlet Problem ◽

Global Existence ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Global Existence Of Solutions

Download Full-text

Existence of Solutions of Stationary Compressible Navier–Stokes Equations with Large Force

Journal of Functional Analysis ◽

10.1006/jfan.2000.3639 ◽

2000 ◽

Vol 177 (1) ◽

pp. 54-88 ◽

Author(s):

Hi Jun Choe ◽

Bum Ja Jin

Keyword(s):

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Download Full-text

Global existence of solutions for one-dimensional compressible navier-stokes equations in the half space

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60181-6 ◽

2010 ◽

Vol 30 (6) ◽

pp. 1889-1905

Author(s):

Wang Shujuan ◽

Zhao Junning

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Global Existence Of Solutions

Download Full-text

THE POINTWISE ESTIMATES OF SOLUTIONS TO THE ISENTROPIC NAVIER–STOKES EQUATIONS IN EVEN SPACE-DIMENSIONS

Journal of Hyperbolic Differential Equations ◽

10.1142/s0219891605000580 ◽

2005 ◽

Vol 02 (03) ◽

pp. 673-695 ◽

Author(s):

WEIKE WANG ◽

XIONGFENG YANG

Keyword(s):

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Pointwise Estimates ◽

Navier Stokes Equations ◽

Estimates Of Solutions ◽

Global Existence Of Solutions ◽

Linearized System ◽

The Green Function ◽

Time Asymptotic Behavior

We study the dissipation of solutions for the isentropic Navier–Stokes equations in even space-dimensions. Based on the global existence of solutions and on the analysis of the Green function associated with the linearized system, the pointwise estimates of solution for the isentropic Navier–Stokes equations are established. It is observed here that in even dimensions the time-asymptotic behavior of the solutions follows from the weak Huygen's principle.

Download Full-text