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Full-Text Articles in Physical Sciences and Mathematics
The Fine Structure Of The Kasparov Groups Ii: Topologizing The Uct, Claude Schochet
The Fine Structure Of The Kasparov Groups Ii: Topologizing The Uct, Claude Schochet
Mathematics Faculty Research Publications
The Kasparov Groups KK∗(A,B) have a natural structure as pseudopolonais groups. In this paper we analyze how this topology interacts with the terms of the Universal Coefficient Theorem (UCT) and the splitting sof the UCT constructed by J. Rosenberg and the author, as well as its canonical three term decomposition which exists under bootstrap hypotheses. We show that the various topologies on [cursive]Ext^{1}_{ℤ}(K∗(A),K∗(B)) and other related groups mostly coincide. Then we focus attention on the Milnor sequence and the fine structure subgroup of KK∗(A,B). …
Stochastic 2-D Navier-Stokes Equation, J. L. Menaldi, S. S. Sritharan
Stochastic 2-D Navier-Stokes Equation, J. L. Menaldi, S. S. Sritharan
Mathematics Faculty Research Publications
In this paper we prove the existence and uniqueness of strong solutions for the stochastic Navier-Stokes equation in bounded and unbounded domains. These solutions are stochastic analogs of the classical Lions-Prodi solutions to the deterministic Navier-Stokes equation. Local monotonicity of the nonlinearity is exploited to obtain the solutions in a given probability space and this signi cantly improves the earlier techniques for obtaining strong solutions, which depended on pathwise solutions to the Navier-Stokes martingale problem where the probability space is also obtained as a part of the solution.