Results 321 to 330 of about 3,580,780 (366)

The Boltzmann equation for anisotropic metals

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
It 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´) .
openaire   +1 more source

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.
openaire   +1 more source

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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A flow equation for anisotropic ice

Cold Regions Science and Technology, 1982
Abstract 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 a free boundary problem for a class of anisotropic equations

, 2017
L. Barbu, C. Enache
semanticscholar   +1 more source

Ghost hyperbolic surface polaritons in bulk anisotropic crystals

Nature, 2021
Weiliang Ma, Guangwei Hu, Debo Hu, Runkun Chen, Tian Sun, Xinliang Zhang, Q. Dai, Ying Zeng, A. Alú, C. Qiu, Peining Li   +10 more
semanticscholar   +1 more source

Solving integral equations in free space with inverse-designed ultrathin optical metagratings

Nature Nanotechnology, 2023
Andrea Cordaro, Andrea Alu
exaly  

DeepXDE: A Deep Learning Library for Solving Differential Equations

SIAM Review, 2021
Lu Lu, George E Karniadakis
exaly  

Poroelastic coefficients for anisotropic single and double porosity media

Acta Geotechnica, 2021
Qi Zhang, R. Borja
semanticscholar   +1 more source

An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications

Computer Methods in Applied Mechanics and Engineering, 2020
Esteban Samaniego, Somdatta Goswami, Timon Rabczuk   +2 more
exaly