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A Missed Persistence Property for the Euler Equations, and its Effect on Inviscid Limits
Persistence Property the Euler Equations
2010/11/11
We consider the problem of the strong convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations under a Navier slip-type boundary condi...
Decompositions of Measures on Pseudo Effect Algebras
Pseudo effect algebra effect algebra Riesz Decomposition Properties
2010/11/30
Recently in [Dvu3] it was shown that if a pseudo effect algebra satisfies a kind of the Riesz Decomposition Property ((RDP) for short), then its state space is either empty or a nonempty simplex. This...
The Lattice and Simplex Structure of States on Pseudo Effect Algebras
Pseudo effect algebra effect algebra Riesz Decomposition Properties
2010/11/30
We study states, measures, and signed measures on pseudo effect algebras with some kind of the Riesz Decomposition Property, (RDP). We show that the set of all Jordan signed measures is always an Abel...
A new, generic type of Zipf-plot behavior in complex systems has been discovered. This Zipf plot does not obey the power law or stretched-exponent distribution but appears as two monotonically decreas...