Symmetry breaking and uniqueness for the incompressible Navier-Stokes equations

The present article establishes connections between the structure of the deterministic Navier-Stokes equations and the structure of (similarity) equations that govern self-similar solutions as expected values of certain naturally associated stochastic cascades. A principle result is that explosion c...

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Veröffentlicht in:	Chaos (Woodbury, N.Y.) N.Y.), 2015-07, Vol.25 (7), p.075402-075402
Hauptverfasser:	Dascaliuc, Radu, Michalowski, Nicholas, Thomann, Enrique, Waymire, Edward C
Format:	Artikel
Sprache:	eng
Schlagworte:	Broken symmetry Cascades Chain branching CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ENGINEERING Fluid dynamics Fluid flow GRAPH THEORY INCOMPRESSIBLE FLOW Markov chains MARKOV PROCESS Mathematical analysis MATHEMATICAL SOLUTIONS NAVIER-STOKES EQUATIONS PROBABILISTIC ESTIMATION Random walk RANDOMNESS Self-similarity SYMMETRY BREAKING Uniqueness
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