Incompressible Navier Stokes Equations: Finite Time Blowup for a Special Class of Initial Conditions, Wave Structure Subject to Special Auxiliary Equations
The corresponding author of the current study [1] gave a rigorous proof of no finite time blowup of the 3D Incompressible Navier Stokes equations in R3/Z3. The primary goal of this research is to recollect the smooth solutions for the z-component momentum equation u z, assuming that the x...
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On the 4th Clay Millennium Problem for the Periodic Navier Stokes Equations
The Gagliardo-Nirenberg and Prekopa-Leindler inequalities are used to prove that the integrand of the integral form of the solution obtained can be set to zero everywhere in space and time, as well as results on the velocity-pressure distribution using Debreu’s, Brouwer’s, and Lusin’s theorems, and a final theorem proving...
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