We prove that the quantum stress tensor for a massless scalar field in two dimensional non-selfsimilar Tolman Bondi dust collapse and Vaidya radiation collapse models diverges on the Cauchy horizon, if the latter exists. The two dimensional model is obtained by suppressing angular co-ordinates in...
the stress tensor diverges on the Cauchy horizon for a self-similar model. Consider now the modified distribution (self-similar region surrounded by non-self-similar region) mentioned above. We show that the nature of the divergence in the self-similar region is such that it implies a diver...
So, for incompressible flow, I have changed the divergence of an original Leonard stress into a different form of it using vector identity. That is a reason why the indices of tensor look different comparing to the original one. How can I express correctly it I have posted in...
Introducing an effective Newtonian MHD stress energy tensor(1)Tαβ=ρvαvβ+(P+PB)gαβ−bαbβ, where Greek indices run over the four spacetime coordinates {0,1,2,3}, we can derive the four fluid equations (energy and the three components of momentum) from the conservation of stre...
We make two assumptions on the nonlinearity A:Rd→Rd in form of assumptions on the tensor field given by the derivative matrix DA: Assumption 1 DA is uniformly elliptic in the sense that there exists a constant λ>0 such that ξ⋅DA(q)ξ≥λ|ξ|2 and |DA(q)ξ|≤|ξ| for all ...
We construct finite element spaces of symmetric stress tensors that are exactly divergence-free. Moreover, their basis functions can be chosen so that they have small supports. These properties are highly desired in a number of important applications. Approximation properties of finite element spaces...
Equilibrated divergence measure stress tensor fields for heavy masonry bodies. European Journal of Mechanics e A/ Solids 28 (2), 223e232.Lucchesi, M.; Sˇ ilhavy´, M.; Zani, N.: Equilibrated divergence measure stress tensor fields for heavy masonry bodies European Journal of Mechanics A/...
Equilibrated divergence measure stress tensor fields for heavy masonry bodies. European Journal of Mechanics e A/ Solids 28 (2), 223e232.Lucchesi, M.; Sˇ ilhavy´, M.; Zani, N.: Equilibrated divergence measure stress tensor fields for heavy masonry bodies European Journal of Mechanics A/...
We examine the local behaviour of the regularised Casimir stress tensor for an inhomogeneous dielectric medium. It is shown that the expression for the stress tensor is not finite anywhere within the medium, whatever the temporal dispersion or index profile. The standard regularisation does not ...
(2006) Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Math. Meth. Appl. Sci. 29: pp. 1709-1719L.C. Berselli, V. John: Asymptotic behaviour of commutation errors and the divergence of the Reynolds ...