and Applied Analysis 3 for all f ∈ C∞ 0 Ω . Since Aμ A μI is positive for sufficiently large μ it has a positive self-adjoint Friedrichs extension Aμ F such that D (( Aμ ) F ) ⊂ ◦ W m 2 Ω . 1.9 We define the Friedrichs extension of A Aμ − μI to be AF Aμ F − μI such that D AF ⊂ ◦ W m 2 Ω . 1.10 The domain of AF is given by D AF { f ∈ ◦ W m 2 Ω | Af ∈ L2 Ω } . 1.11 It is also well known that this...

We show that under particular circumstances a general relativistic spherically symmetric bounded distribution of matter could satisfy a nonlocal equation of state. This equation relates, at a given point, the components of the corresponding energy momentum tensor not only as function at that point, but as a functional throughout the enclosed configuration. We have found that these types of dyna...

Two generalisations of the blast-wave model to non-central nuclear collisions are constructed, and elliptic flow as well as azimuthal dependence of correlation radii are calculated. Particular attention is paid to how different azimuthal dependences of transverse flow direction can cause qualitatively different anisotropic fireballs to give same v2 as a function of the transverse momentum. The ...

In the present research, vibrational behavior of anisotropic protein microtubules (MTs) immersed in cytosol via Cooper–Naghdi shell model is investigated. MTs are hollow cylindrical structures in the eukaryotic cytoskeleton which surrounded by filament network. The temperature effect on vibration frequency is also taken into account by assuming temperature-dependent material properties for MTs....

In this paper, a compression-to-tensile load converter device is developed to determine the anisotropic tensile strength of brittle material. A cubic sample with an internal pore was used as the test specimen, and a series of finite element analysis and DDM simulations were performed thereafter to analyse the effect of pore dimensions on the stress concentration, as well as to render a suitable...

in this paper the propagation of harmonic plane waves in a homogeneous anisotropic magneto-piezothermoelastic diffusive body with fractional order derivative is studied. the governing equations for a homogeneous transversely isotropic body in the context of the theory of thermoelasticity with diffusion given by sherief et al. [1] are considered as a special case. it is found that three types of...

The electrical resistivity, Hall coefficient, and thermopower as functions of temperature are reported for lightly electron-doped Ca1−xLaxMnO3 0 x 0.10 . Unlike the case of hole-doped ferromagnetic manganites, the magnitude and temperature dependence of the Hall mobility H for these compounds is found to be inconsistent with small-polaron theory. The transport data are better described by the F...

New exact interior solutions to the Einstein field equations for anisotropic spheres are found. We utilise a procedure that necessitates a choice for the energy density and the radial pressure. This class contains the constant density model of Maharaj and Maartens (Gen. Rel. Grav., 21, 899-905, 1989) and the variable density model of Gokhroo and Mehra (Gen. Rel. Grav., 26, 75-84, 1994) as speci...