The stability properties of Einstein theory with a cosmological constant A are investigated. For A > 0, stability is established for small fluctuations, about the de Sitter background, occurring inside the event horizon and semiclassical stability is anal~ed. For A < 0, stability is demonstrated for all asymptotically anti-de Sitter metrics. The analysis is based on the general construction of ...

For one-dimensional system of dissipative balance laws endowed with a convex entropy we prove, under natural assumptions, that a constant equilibrium state is asymptotically L 2 ?stable under a zero-mass initial disturbance. The technique is based on the construction of an appropriate Liapunov functional involving the entropy and a so-called compensation term.

This paper proposes a new bilateral control scheme to ensure both transparency and robust stability under unknown constant time delay in stiff environment. Furthermore, this method guaranties suitable performance and robust stability when transition occurs between soft and stiff environments. This framework is composed of an adaptive sliding mode controller and an adaptive impedance controller,...

We solve the stochastic equations for a cluster of parallel bonds with shared constant loading, rebinding, and the completely dissociated state as an absorbing boundary. In the small force regime, cluster lifetime grows only logarithmically with bond number for weak rebinding, but exponentially for strong rebinding. Therefore rebinding is essential to ensure physiological lifetimes. The number ...

In this work, we investigated the stability of Molybdate-Phosphonic Acid (MPA) complex by density functionaltheory (DFT) computations in six solvents with the dielectric constant ranging from 1.92 to 10.36. The methodsare used for calculations are B3LYP and B3PW9 I that have been studied in two series of basis sets: D95nand6-31+G (d,p) for hydrogen and oxygen atoms; LANL2DZ for Mo and Phosphoru...