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On the Incompressible Navier-Stokes Equations with Damping

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DOI: 10.4236/am.2013.44089    3,312 Downloads   4,977 Views   Citations

ABSTRACT

We consider dynamics system with damping, which are obtained by some transformations from the system of incompressible Navier-Stokes equations. These have similar properties to original Navier-Stokes equations the scaling invariance. Due to the presence of the damping term, conclusions are different with proving the origin of the incompressible Navier-Stokes equations and get some new conclusions. For one form of dynamics system with damping we prove the existence of solution, and get the existence of the attractors. Moreover, we discuss with limit-behavior the deformations of the Navier-Stokes equation.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

W. Zhao and Z. Zheng, "On the Incompressible Navier-Stokes Equations with Damping," Applied Mathematics, Vol. 4 No. 4, 2013, pp. 652-658. doi: 10.4236/am.2013.44089.

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