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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
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