The dynamics of the fluid fields in a large class of causal dissipative fluid theories is studied. It is shown that the physical fluid states in these theories must relax (on a time scale that is characteristic of the microscopic particle interactions) to ones that are essentially indistinguishable from the simple rel-ativistic Navier-Stokes descriptions of these states. Thus, for example, in t...

In this paper instability of planar anisotropic sheet metal during a few forming processes is investigated for the first time. For this reason components of the constitutive tangent tensor for planar anisotropic sheets are developed. By using the above tensor location of necking is predicted. Direction of the shear band is also predicted using the acoustic tensor. A finite element program is pr...

We present fully general relativistic equations governing viscous transonic flows in vertical equilibrium in Kerr geometry. We find the complete set of global solutions (both for Optically thick and optically thin flows) in the weak viscosity limit. We show that for a large region of parameter space, centrifugal pressure supported standing shocks can form in accretion and winds very close to th...

We examine homogeneous but anisotropic cosmologies in scalar-tensor gravity theories, including Brans-Dicke gravity. We present a method for deriving solutions for any isotropic perfect fluid with a barotropic equation of state (p ∝ ρ) in a spatially flat (Bianchi type I) cosmology. These models approach an isotropic, general relativistic solution as the expansion becomes dominated by the barot...

In this paper, we consider Kasner space-time describing anisotropic three-dimensional expansion of the fluid and obtain dissipative evolution equations for shear stress tensor energy density from kinetic theory. For this, use iterative solution relativistic Boltzmann equation with relaxation time approximation. We show that our results second- third-order reduce to those one-dimensional case un...

In this paper, an elastic constitutive model based on the Eulerian corotational rate of the logarithmic strain tensor is proposed. Using this model, the large deformation of a closed cycle containing tension, shear, compression and inverse shear is analyzed. Since the deformation path includes a closed cycle and the material is considered as an isotropic elastic material, the normal and shear c...

In this paper, an elastic constitutive model based on the Eulerian corotational rate of the logarithmic strain tensor is proposed. Using this model, the large deformation of a closed cycle containing tension, shear, compression and inverse shear is analyzed. Since the deformation path includes a closed cycle and the material is considered as an isotropic elastic material, the normal and shear c...

We present the hybrid model connecting parton–hadron–string dynamic (PHSD) and a hydrodynamic taking into account shear viscosity within Israel–Stewart approach. The numerical scheme, initialization, particlization procedure are discussed in detail. performance of code is tested on pion proton rapidity transverse mass distributions calculated for Au + Pb+Pb collisions at AGS–SPS energies. influ...

In these proceedings I discuss the recent progress in theory of spin polarization relativistic fluids. To date, a number studies have begun to examine impact shear tensor on local and whether this contribution can restore agreement between measurements predictions obtained from induced by gradients plasma. present derivation vector fermion at thermal equilibrium role pseudo-gauge transformation...

Aims. We study the dependence of turbulent transport coefficients, such as α effect and turbulent magnetic diffusivity, on shear and magnetic Reynolds number in the presence of helical forcing. Methods. We use three-dimensional direct numerical simulations with periodic boundary conditions and measure turbulent transport coefficients using the kinematic test field method. In all cases the magne...