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The Normal Casimir Force for Lateral Moving Planes with Isotropic Conductivities
PhysicsWe consider the two planes at zero temperature with isotropic conductivity that are in relative lateral motion with velocity v and interplane distance a. Two models of conductivity are taken into account—the constant and frequency-dependent Drude models.
Nail Khusnutdinov, Natalia Emelianova
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Migration Using a Transversely Isotropic Medium with Symmetry Normal to the Reflector Dip [PDF]
International Journal of Geophysics, 2011 A transversely isotropic (TI) model in which the tilt is constrained to be normal to the dip (DTI model) allows for simplifications in the imaging and velocity model building efforts as compared to a general TI (TTI) model. Although this model cannot be
Tariq Alkhalifah, Paul Sava
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APOE ε4‐related blood–brain barrier disruption and APOE ε4‐independent microstructural abnormalities in white matter hyperintensities [PDF]
Alzheimer’s & Dementia: Diagnosis, Assessment & Disease MonitoringIntroduction While the apolipoprotein E (APOE) ε4 allele promotes blood–brain barrier (BBB) permeability and microstructural disruption, its specific contribution to white matter hyperintensity (WMH) pathological heterogeneity remains unknown. Methods We
Yuki Oi +5 more
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Euler-like vector fields, normal forms, and isotropic embeddings
Indagationes Mathematicae, 2021 Germs of tubular neighborhood embeddings for submanifolds N of manifolds M are in one-one correspondence with germs of Euler-like vector fields near N. In many contexts, this reduces the proof of `normal forms results' for geometric structures to the construction of an Euler-like vector field compatible with the given structure.
Eckhard Meinrenken
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Existence of non-isotropic conjugate points on rank one normal homogeneous spaces [PDF]
Annals of Global Analysis and Geometry, 2013 We give a positive answer to the Chavel's conjecture [J. Diff. Geom. 4 (1970), 13-20]: a simply connected rank one normal homogeneous space is symmetric if any pair of conjugate points are isotropic. It implies that all simply connected rank one normal homogeneous space with the property that the isotropy action is variational complete is a rank one ...
A M Naveira
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Symmetry, 2023 In this study, the identification of thermoelastic mass diffusion was examined on a homogeneous isotropic microstretch thermoelastic diffusion (HIMTD) solid due to normal force on the surface of half space. In the framework of Cartesian symmetry, the components of displacement, stresses, temperature change, and microstretch as well as couple stress ...
Iqbal Kaur +2 more
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A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space
Mathematics, 2023 This article gives an approach for establishing a surface family with a mutual geodesic curve in Galilean 3-space G3. Given a smooth space curve, we derive the sufficient and necessary condition for the given curve to be geodesic on it.
Awatif Al-Jedani, Rashad A. Abdel-Baky
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Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space 𝔾3
Mathematics, 2023 This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space G3. Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwhile,
Areej A. Almoneef, Rashad A. Abdel-Baky
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Surface Family with Bertrand Curves as Joint Asymptotic Curves in 3D Galilean Space
Mathematics, 2023 The primary objective of this work is to discuss a surface family with the similarity of Bertrand curves in 3D Galilean space. Subsequently, by applying the Serret–Frenet frame, we estimate the sufficient and necessary statuses of a surface family with ...
Awatif Al-Jedani, Rashad A. Abdel-Baky
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A nonlinear statistical empirical model for transversely isotropic rocks under uniaxial compression condition [PDF]
Archives of Civil Engineering, 2022 The mechanical characteristics of transversely isotropic rocks are significantly different under various levels of inclination, and it is difficult to describe exactly the mechanical behaviour of transversely isotropic rocks.
Yansheng Deng, Chenjie Shen, Baoping Zou
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