Gauge theory is a theory with constraints and, for that reason, the space of physical states is not a manifold but a stratified space (orbifold) with singularities. The classification of strata for smooth (and generalized) connections is reviewed as well as the formulation of the physical space as the zero set of a momentum map. Several important features of nongeneric strata are discussed and ...

Sequential quadratic programming (SQP) methods for the optimal control of the instationary Navier-Stokes equations with pointwise constraints on the control are considered. Due to the presence of the constraints the quadratic subproblems (QP) of SQP require a more sophisticated solver compared to the unconstrained case. In this paper, a semismooth Newton method is proposed for efficiently solvi...

Pinsky (1996) [15] proved that the finite mass superdiffusion X corresponding to the semilinear operator Lu+ βu−αu exhibits local extinction if and only if λc ≤ 0, where λc := λc(L+β) is the generalized principal eigenvalue of L + β on R. For the case when λc > 0, it has been shown in Engländer and Turaev (2000) [8] that in law the superdiffusion locally behaves like exp[tλc] times a non-negati...

The aim of this paper is to introduce the concept of fuzzy generalized closed set and study its properties. Secondly the concept of infra L-fuzzy topological space is introduced. Making use of fuzzy -closed sets and fuzzy -generalized closed sets the concept of fuzzy -generalized continuous mapping is introduced. Lastly the concept of fuzzy generalized closed irresolute map in L-fuzzy topologic...

We associate certain probability measures on R to geodesics in the space H L of postively curved metrics on a line bundle L, and to geodesics in the finite dimensional symmetric space of hermitian norms on H 0 (X, kL). We prove that the measures associated to the finite dimensional spaces converge weakly to the measures related to geodesics in H L as k goes to infinity. The convergence of secon...