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A Regularized Equation for Anisotropic Motion-by-Curvature
SIAM Journal on Applied Mathematics, 1992Mathematics Technical ...
DI CARLO, Antonio +2 more
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Anisotropic Burgers equation with an anisotropic perturbation
Communications in Nonlinear Science and Numerical Simulation, 2011Abstract In this paper we propose an anisotropic Burgers equation with an anisotropic perturbation, which governs many nonlinear dynamic processes in an anisotropic diffusive (viscous) medium. Using conventional transformation methods, we find the analytical solution for the initial-value problem of the Burgers equation in a 2D anisotropic space ...
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Anisotropic fractional diffusion equation
Physica A: Statistical Mechanics and its Applications, 2005Abstract 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.
Renio S. Mendes +3 more
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Equation of state for anisotropic spheres
General Relativity and Gravitation, 2006We present a new class of exact interior solutions for anisotropic spheres to the Einstein field equations with a prescribed energy density. This category of solutions has similar energy density profiles to the models of Chaisi and Maharaj (Gen. Rel. Grav. 37, 1177–1189, 2005) whose approach we follow in the integration process.
M. Chaisi, M. Chaisi, Sunil D. Maharaj
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The migrator’s equation for anisotropic media [PDF]
GEOPHYSICS, 1990 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 media where velocities are ...
John A. McDonald +2 more
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Constitutive equations for anisotropic wear
International Journal of Engineering Science, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Constitutive equations for anisotropic continua
Composites Part A: Applied Science and Manufacturing, 1998Two 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.
R.S. Jones, Jeff Goshawk
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The Boltzmann equation for anisotropic metals
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962It is pointed out that the Boltzmann equation in the theory of metals reduces to a finite set of linear algebraic equations whenever the scattering probability can be written as a finite sum of the form Σ p i (k) q i (k´) .
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Reformation of the equations of anisotropic poroelasticity
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1991The constitutive equations of linear poroelasticity presented by Biot (1955) and Biot and Willis (1957) extended the description of rock behavior into the realm of saturated porous rocks. For isotropic material behavior, Rice and Cleary (1976) gave a formulation which involved material constants whose physical interpretation was particularly simple and
M. Thompson, John R. Willis
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On the Dirac equation in anisotropic backgrounds
Physics Letters A, 1988Abstract We solve a recently posed problem on the number of independent solutions of the Dirac equation in metrics in which this equation is separable, and extend the notion of observer dependent quantum vacua to the spin- 1 2 case.
Mario Castagnino +3 more
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