Mathematics – Analysis of PDEs
Scientific paper
2011-04-16
Mathematics
Analysis of PDEs
10 pages
Scientific paper
We investigate general topology properties to show that the set of solutions of the Navier-Stokes is homeomorphic to the set of solutions of regularized Navier-Stokes equations by adding a high-order viscosity term. This result means that the set of solutions is reduced to one solution for each dimension d<=4. We also prove a high regularity for solution to the Navier-Stokes equations.
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