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• W3099492787 abstract "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 criteria for the stochastic cascades involved in the probabilistic representations of solutions to the respective equations coincide. While the uniqueness problem itself remains unresolved, these connections provide interesting problems and possible methods for investigating symmetry breaking and the uniqueness problem for Navier-Stokes equations. In particular, new branching Markov chains, including a dilogarithmic branching random walk on the multiplicative group (0, ∞), naturally arise as a result of this investigation." @default.
• W3099492787 created "2020-11-23" @default.
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• W3099492787 date "2015-07-01" @default.
• W3099492787 modified "2023-10-15" @default.
• W3099492787 title "Symmetry breaking and uniqueness for the incompressible Navier-Stokes equations" @default.
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• W3099492787 doi "https://doi.org/10.1063/1.4913236" @default.
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