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Constitutive equations for anisotropic continua

Composites Part A: Applied Science and Manufacturing, 1998
Two classes of simple constitutive equations for continuous fibre-reinforced composites are introduced. In the first, the transverse and longitudinal viscosities are functions of invariants of the rate-of-strain tensor and the fibre-orientation vector. In the second, anisotropic yield conditions are imposed.
J.A. Goshawk, R.S. Jones
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On the solutions of the anisotropic Heisenberg equation

Journal of Physics A: Mathematical and General, 1994
Summary: A method based on the discrete group of the inner symmetry of integrable systems is used to derive explicit formulae for soliton-like solutions of Heisenberg ferromagnets (with biaxial or uniaxial anisotropy). The solutions are given in terms of expressions which involve ratios of two determinants.
Belov, N. A.   +2 more
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Bubbling solutions to an anisotropic Hénon equation

2015
In this paper we consider the problem $$\displaystyle{ \qquad \left \{\begin{array}{ll} -\mathrm{div}(a(x)\nabla u) = c_{\alpha }a(x)\vert x -\xi \vert ^{\alpha }u^{p_{\alpha }\pm \varepsilon }&\mbox{ in }\varOmega, \\ u > 0 &\mbox{ in }\varOmega, \\ u = 0 &\mbox{ on }\partial \varOmega,\end{array} \right.
Faya, Jorge   +2 more
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Equation of state for anisotropic spheres

General Relativity and Gravitation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maharaj, S. D., Chaisi, M.
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Anisotropic Modification of Maxwell's Equations

Physical Review D, 1973
This 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.
William S. N. Trimmer   +1 more
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Anisotropic fractional diffusion equation

Physica A: Statistical Mechanics and its Applications, 2005
Abstract We analyze an anisotropic fractional diffusion equation that extends some known diffusion equations by considering a diffusion coefficient with spatial and time dependence, the presence of external forces and time fractional derivatives.
G.A. Mendes   +3 more
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On the derivation of the equations of anisotropic magnetohydrodynamics

Journal of Applied Mathematics and Mechanics, 1962
After 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, 1996
We 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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Regularity Criteria for the 3D Magneto-Hydrodynamics Equations in Anisotropic Lorentz Spaces

Symmetry, 2021
Maria Alessandra Ragusa   +2 more
exaly  

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