Results 221 to 230 of about 298,833 (265)

Equation of state of condensed media

Soviet Physics Journal, 1981
A new choice is proposed for the generating functional which is used to obtain an integral equation for the radial distribution function that is valid in the domain of dense fluids. The corresponding equation of state for giving the intramolecular potential in the form ϕ(r)∼r −s agrees in the case of dense fluids with the known Tait empirical equation ...
V. M. Sysoev, A. V. Chalyi
openaire   +1 more source

Group Classification of Eikonal Equations for the Wave Equation in Inhomogeneous Media

Journal of Mathematical Sciences, 2005
For equations describing acoustic and electromagnetic waves in inhomogeneous media \[ m(x,y,z)\frac{\partial^2 u}{\partial t^2}=\text{div}(p(x,y,z) \text{grad}\;u) \] the front of a wave is defined as the level surface \(\psi(x,y,z)=t\) of a solution \(\psi(x,y,z)\) of the equation of characteristics \((\nabla\psi)^2=\frac{1}{v^2(x,y,z)}\), \(v^2(x,y,z)
openaire   +2 more sources

MHD equations for paramagnetic media

Fluid Dynamics, 1969
The conservation laws are used to obtain phenomenologically the complete system of equations of motion of a conductive paramagnetic fluid in a magnetic field. In addition to the usual MHD equations (with additional terms accounting for the magnetization of the medium), this system includes the equation for the rate of change of the magnetic moment. The
I. G. Shaposhnikov, M. I. Shliomis
openaire   +1 more source

The migrator's equation for anisotropic media

Geophysics, 1990
Abstract The migrator's equation, which gives the relationship between real and apparent dips on a reflector in zero-offset reflection seismic sections, may be readily implemented in one step with a frequency-domain migration algorithm for homogeneous media.Huygens' principle is used to derive a similar relationship for anisotropic ...
N. F. Uren, G. H. F. Gardner, J. A. McDonald   +2 more
openaire   +1 more source

Helmholtz Equation in Highly Heterogeneous Media

2014
Helmholtz Equation in Highly Heterogeneous ...
Barucq, Hélène, Calandra, Henri, Chaumont-Frelet, Théophile, Gout, Christian   +3 more
openaire   +3 more sources

A New Look to the Maxwell’s Equations and Wave Equations in Conducting Media

2024 International Conference on Software, Telecommunications and Computer Networks (SoftCOM)
This paper presents a new system of Maxwell’s equations and wave equations in conducting media containing electromagnetic field sources, where the sources of the static component of the electric field are electric current sources, rather than electric charges.
openaire   +2 more sources

Acoustics equations in poroelastic media

Journal of Applied and Industrial Mathematics, 2011
Summary: We study the acoustics equations in poroelastic media which we obtained previously as a result of the homogenization of the exact dimensionless equations describing the joint motion of an elastic solid skeleton and a viscous fluid in the pores on the microscopic level. A small parameter in this model is the ratio \(\varepsilon\) of the average
openaire   +2 more sources

Main Equations in Media Mechanics

2007
The stresses p, σ, τ for tension and compression were introduced in Chap. 1. In order to study the stress state in a point the cube is usually cut about it (Fig. 2.1). Acting on its faces stresses are often written in a form of a matrix which is called the tensor (of stresses) as $${\rm T}_{\rm \sigma } = \left( {\begin{array}{*{20}c} {\sigma _ ...
openaire   +1 more source

Balance Equations for Homogeneous Media

1991
In order to permit the study of the mechanical behavior of multi-phase mixtures, we shall first review the equations that govern the mechanical behavior of homogeneous single-phase media. For simplicity, but without impairing the generality, our exposure will be in the Cartesian coordinates unless otherwise stated.
openaire   +1 more source

Creep equations of aging media

Soviet Applied Mechanics, 1989
The deformation of materials over time at variable stresses and temperatures is accompanied by the occurence of a number of complex nonlinear mechanical and thermal phenomena which, as a whole, are difficult to describe by means of the integral and integrodifferential operators normally used in creep theory.
openaire   +1 more source