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Research Article Open Access
A solution to the 6thmillenium problem, respect to breakdown of Navier-Stokes solutions and the bounded energy. We have proved that there are initial velocities and forces such that there is no physically reasonable solution to the Navier-Stokes equations for, which corresponds to the case (C) of the problem relating to Navier-Stokes equations available on the website of the Clay Institute
Navier-Stokes equations, Continuity equation, Breakdown, Existence, Smoothness, Physically reasonable solutions, Gradient field, Conservative field, Velocity, Pressure, External force, Unbounded energy, Millennium problem, Uniqueness, Nonuniqueness, 15th Problem of Small, Blowup time, Physical Mathematics, Axioms, Topology, Integration , Algebraic Geometry, Quantum Mechanics, mirror symmetry, Noether's theorem, Quantumelectrodynamics, Hamilton Mechanics, vector bundle, Riemannian Geometry, Theory of Mathematical Modeling, Fourier Analysis, Theoretical Physics, Analytical Geometry, Differential Equations, Complex Analysis.