Effect of Viscosity in Brane-World| Chapter 12 | New Frontiers in Physical Science Research Vol. 2

 In the Randall-Sundrum type II (RS) brane-world model with or without the Gauss-Bonnet (GB) factor and in the presence of an imperfect fluid, I provide a precise cosmological solution. In this scenario, I take into account both the power law and exponential models of the early cosmos. The Truncated Israel-Stewart (TIS) hypothesis of viscosity is used to create cosmological models. It is discovered that during the GB regime, the influence of viscosity accelerates the universe's pace of expansion. Additionally, I investigate the stability of the dynamical system equilibrium points related to the evolution of the viscous fluid in the RS Brane with or without a GB term.

Author(s) Details:

Dilip Paul,
Department of Physics, Islampur College, Islampur, Uttar Dinajpur, West Bengal, India.

Please see the link here: https://stm.bookpi.org/NFPSR-V2/article/view/8211

Study on the Method for a Solution to Some Class of Quasi‐Static Problems in Linear Viscoelasticity Theory, as Applied to Problems of Linear Torsion of a Prismatic Solid | Chapter 8 | Recent Advances in Mathematical Research and Computer Science Vol. 1

In the theory of elasticity and thermoelasticity, one way for reducing the problem of isotropic hereditary elasticity to solving a group of comparable quasi-static problems is proposed. The representability of the solution of the problem of linear hereditary elasticity in the form of the sum of solutions of three problems is proven: the linear theory of elasticity for imaginary bodies that are incompressible and have a zero Poisson's ratio, and stationary uncoupled thermoelasticity for a body whose properties are not temperature dependent. The shear and bulk relaxation kernels are thought to be independent, but the viscoelastic Poisso n's ratio is time dependent.

Two theorems are demonstrated that reduce solutions of the general quasistatic problem of linear viscoelasticity theory to a similar problem of elasticity theory. If one of the following requirements is met: 1) the material is near to becoming mechanically uncompressible; 2) the mean stress is zero; and 3) the shift and volume hereditary functions are equal, these theorems hold. The theorems allow for free direct and inverse transforms between solutions of viscoelasticity and elasticity issues, making them useful in practise. They've been used to solve difficulties with pure torsion in a prismatic viscoelastic solid with any simply linked cross section. Some examples of the results achieved have been considered.

 

Author (S) Details

Latif Kh. Talybly
Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku Az 1141, Azerbaijan.

Mehriban A. Mamedova
Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku Az 1141, Azerbaijan.

View Book:- https://stm.bookpi.org/RAMRCS-V1/article/view/4338

Gasdynamic Elements of Dispersive Medium | Book Publisher International

Aspects of motion theory for the continuous gaseous medium are presented with a substantial influence of dispersion effects related to the microstructure of the medium or to the presence of electromagnetic or gravitational fields of internal force. The precise stationary solutions of non-linear equations are studied in detail in the vicinity of transition fronts and in the form of solitary waves: "classical" and "particle-like" solitons. Various gasdynamic models are seen, beginning with the acoustic relativity theory and the supercritical analog of the special relativity theory up to the Newtonian dark matter and microstructural turbulence model. A number of examples taken from gas dynamics and physics demonstrate typical conformities of the investigated processes.

Author(s) Details

M. Ja. Ivanov
State Scientific Center of Russian Federation, Central Institute of Aviation Motors (Named after Baranov), Russia.

L. V. Terentieva
State Scientific Center of Russian Federation, Central Institute of Aviation Motors (Named after Baranov), Russia.

View Book:- https://stm.bookpi.org/GEDM/issue/view/27