Existence and bifurcation of Navier-Stokes equations
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منابع مشابه
Three-Dimensional System of Globally Modified Navier-Stokes Equations with Delay
Resumen We first study the existence and uniqueness of strong solutions of a three dimensional system of globally modified Navier-Stokes equations with delay in the locally Lipschitz case. The asymptotic behaviour of solutions, and the existence of pullback attractor are also analyzed.
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We have studied bifurcation phenomena for the incompressible Navier-Stokes equations in two space dimensions with periodic boundary conditions. Fourier representations of velocity and pressure have been used to transform the original partial diierential equations into systems of ordinary diierential equations (ODE), to which then numerical methods for the qualitative analysis of systems of ODE ...
متن کاملAbsence of the Local Existence Theorem in the Critical Space for the 3D-Navier-Stokes System
We consider the 3D-Navier-Stokes system (NSS) on R3 without external forcing. After Fourier transform it becomes the system of non-linear integral equations. For one-parameter families of initial conditions A·c (0)(k) |k|2 it is known that if |A| is sufficiently small then NSS has global solution. We show that if c(0) satisfies some natural conditions at infinity then for sufficiently large A N...
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تاریخ انتشار 2016