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Anisotropic Modification of Maxwell's Equations
Physical Review D, 1973This paper examines a modified form of Maxwell's equations, one designed to produce anisotropic light propagation in a vacuum. The equations predict anisotropies in the speed of light that behave as cos P and cos2$, where tI5 is the angle between the actual direction of propagation and some single preferred direction in space.
Ralph Baierlein, William S. N. Trimmer
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Parallel Multigrid for Anisotropic Elliptic Equations
Journal of Parallel and Distributed Computing, 2001Interesting investigations for anisotropy by the cofficients of partial differential equations and by mesh anisotropy, for multigrid with a) alternating plane smoothers combined with standard coarsening and b) plane smoothers with semicoarsening algorithm.
R. Santiago +4 more
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A Reexamination of the Equations of Anisotropic Poroelasticity
Journal of Applied Mechanics, 2017The anisotropic poroelastic constitutive model is reexamined in this article. The assumptions and conclusions of previous works, i.e., Thompson and Willis and Cheng, are compared and clarified. The micromechanics of poroelasticity is discussed by dividing the medium into connected fluid part and solid skeleton part.
Yue Gao +3 more
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Eikonal Equation for Anisotropic Media
Journal of Mathematical Sciences, 2014The methods of group analysis are applied to establish a classification of eikonal equations for anisotropic stationary media, g ij (x)ψ i ψ j = 1. The equivalence group and the groups of
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Anisotropic constitutive equations and schur's lemma
International Journal of Engineering Science, 1978Abstract The symmetry properties of a material impose restrictions on the form of the constitutive expressions employed to describe the response of the material. We employ the methods of group representation theory and Schur's lemma to obtain the general form of the constitutive expression which is consistent with the restrictions imposed by material
E. Kiral, G.F. Smith
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A parabolic equation for anisotropic elastic media
Wave Motion, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William L. Siegmann +2 more
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A flow equation for anisotropic ice
Cold Regions Science and Technology, 1982Abstract Twenty-three samples of anisotropic glacier ice were tested in simple shear at a constant stress and constant temperature to investigate the effects of crystal fabric and crystal size on ice rheology. Results indicate that minimum strain rate is sensitive to variations in both crystal fabric and crystal size; as fabric intensity increases ...
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On the derivation of the equations of anisotropic magnetohydrodynamics
Journal of Applied Mathematics and Mechanics, 1962After some errors in previous papers are pointed out, the components of the viscosity tensor and the heat flow vector for a fully ionized gas consisting of electrons and singly charged ions are given. The one-fluid approximation was used, and an equation for the components of the viscosity tensor and heat flow vector is presented.
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The equation of state of an anisotropic continuum
Journal of Mathematical Sciences, 1996We establish the connection between the action and reaction vectors of a continuous hysteresis-free irrotational medium using the matrices of static parameters in the principal axes of anisotropy and the connection between the increments of these vectors using the matrices of differential parameters.
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Maxwell's equations in anisotropic space
Physics Letters A, 1979Abstract In terms of the covariance of equations under a generalized galilean transformation, a general expression of Maxwell's equations in anistropic space is given here.
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