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We study continuum and atomistic models for the elastodynamics of crystalline solids at zero temperature. We establish sharp criterion for the regime of validity of the nonlinear elastic wave equati...
On applications of Ulam-Hyers stability in biology and economics     Ulam-Hyers stability  biology  economics       font style='font-size:12px;'> 2010/4/21
We argue that Ulam-Hyers stability concept is quite significant in realistic problems in numerical analysis, biology and economics. A generalization to nonlinear systems is proposed and applied to the...
We investigate the stability of low-friction sliding of nanocrystal with rectangular atomic arrangement on rectangular lattices, for which analytical results can be obtained. We find that several inco...
On the stability of the shear-free condition     shear-free condition  spherically symmetric anisotropic       font style='font-size:12px;'> 2010/3/18
The evolution equation for the shear is reobtained for a spherically symmetric anisotropic, viscous dissipative fluid distribution, which allows us to investigate conditions for the stability of the s...
Quantum Chaos, Dynamical Stability and Decoherence     Quantum Chaos  Dynamical Stability  Decoherence       font style='font-size:12px;'> 2010/10/13
We discuss the stability of quantum motion under system’s perturbations in the light of the corresponding classical behavior. In particular we focus our attention on the so called “fidelity” or Loschm...
We have performed ab initio calculations of the atomic structure and energetic stability of the Bi–covered InAs(110) surface. The calculations were performed within the density–functional theory, usin...
The importance of hydration on the equilibrium involving internal rotation around carbon-carbon single bond is investigated for the furfural molecule dissolved in water. To analyze the solvent effects...

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