We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes, recently developed by the authors. The perturbations are classified into the tensor, vector, and scalar-type modes according to their tensorial behaviour on the...

Introduction: In 2001, Cavex presented the first test results, which showed 5 days dimensional stability for Cavex ColorChange. More than 10 years we used this information to show our customers the high quality and stability of our products. In the meantime, our Research & Development department worked on improvements of the alginate impression materials. We formed close cooperation’s with supp...

Suppose that a static-state feedback stabilizes a continuous-time linear infinite-dimensional control system. We consider the following question: if we construct a sampled-data controller by applying an idealized sample-andhold process to a continuous-time stabilizing feedback, will this sampled-data controller stabilize the system for all sufficiently small sampling times? Here the state space...

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Abs t r ac t . Recent developments concerning the connection between notions of hydrodynamic stability usually associated with stationary laminar flows-and dynamics, most notably turbulent fluid flows, are reviewed. Based on a technical device originally introduced by Hopf in 1941, a rigorous mathematical relationship between criteria for nonlinear energy stability and bounds on global t ranspo...

Submitted for the DFD12 Meeting of The American Physical Society Linear stability analysis of homogeneous three-dimensional turbulent flows ANAND MISHRA, SHARATH GIRIMAJI, Texas A&M University — We examine the stability characteristics of homogeneous three-dimensional mean flows. Such mean fields can be categorized based on the invariants of the velocity gradient tensor. In this study, the line...

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The dynamical stability conjectures of Palis and Smale, and Pugh and Shub are investigated from the stand-point of numerical observation, and a new stability conjecture is proposed. As the dimension of a dissipative dynamical system is increased, the number of positive Lyapunov exponents increases monotonically, the number of observable periodic windows decreases, and there is a subset of param...

from the Polytechnic Institute of Brooklyn, Brooklyn, NY, in 1955, 1956, and 1968, respectively (Westinghouse Fellow 1956, Bell Telephone Laboratories Fellow 19571958). Since 1958 he has been employed by Bell Laboratories, Murray Hill, NJ, where he presently is a Member of the Mathematical Studies Department. He has been concerned with analysis of radar systems for military defense, synthesis a...

OBJECTIVES This study aimed to compare the dimensional accuracy of two indexing materials, an acrylic resin (GC pattern resin) and a castable composite (Bredent). The effect of time lapse until investment was also investigated. MATERIALS AND METHODS Two standardized brass dies 15 mm apart were prepared and then 20 identical coping-bar assemblies were designed and fabricated by a rapid prototy...