Related papers: Immortal Smooth Solution of the Three Space Dimens…
We consider the Navier-Stokes system describing the time evolution of a compressible barotropic fluid confined to a bounded spatial domain in the 3-D physical space, supplemented with the Navier's slip boundary conditions. It is shown that…
We establish the global existence and uniqueness of classical solutions to the three-dimensional full compressible Navier-Stokes system with smooth initial data which are of small energy but possibly large oscillations where the initial…
This paper has been withdrawn.
This paper has been withdrawn.
This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.
We consider a compressible Navier-Stokes system for a barotropic fluid with density dependent viscosity in a three-dimensional time-space domain $(0,T)\times \Omega_\varepsilon$ where $\Omega_\varepsilon = (0,\varepsilon)^2\times (0,1)$. We…
This paper was withdrawn by the author due to an edition's rights
This paper has been withdrawn by the author
This paper has been withdrawn by the authors.
Whether the 3D incompressible Navier-Stokes equations will have a global smooth solution for all smooth, finite energy initial data is a Millennium Prize problem. One of the main difficulties of this problem is that the Navier-Stokes…
This paper has been withdrawn by the author due to some errors.
This paper is withdrawn by the author. See math.GT/9811093 for replacement.
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn by the author due to a crucial definition error of Triebel space.
This paper was withdrawn by the authors because it has been supplanted by gr-qc/0311007 and gr-qc/0311038.
This paper has been retracted, for obvious reasons.
In this paper, we study the dynamic stability of the 3D axisymmetric Navier-Stokes Equations with swirl. To this purpose, we propose a new one-dimensional (1D) model which approximates the Navier-Stokes equations along the symmetry axis. An…
This paper has been withdrawn by the author because the conclusions reached in it are incorrect.
This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial
This paper has been withdrawn by the author(s)