## Existence and smoothness results for a new class of $$n$$-dimensional Navier-Stokes equations.(English)Zbl 1428.35296

Summary: We propose and develop a new approach to prove the global existence of solutions for a class of $$n$$-dimensional Navier-Stokes equations.

### MSC:

 35Q30 Navier-Stokes equations 76D05 Navier-Stokes equations for incompressible viscous fluids 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 35B65 Smoothness and regularity of solutions to PDEs 35K55 Nonlinear parabolic equations

### Keywords:

Navier-Stokes equations; global existence
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