Results 21 to 30 of about 433,625 (268)

Reaction–Diffusion on the Sphere with a Nonlinear Source Term: Symmetry Analysis, Group Classification, and Similarity Solutions

Mathematics
We consider the nonlinear reaction–diffusion equation on the unit sphere ut=ΔS2u+f(u), fuu≠0, and carry out a complete Lie point symmetry analysis. Solving the associated determining system yields a rigidity theorem: for every genuinely nonlinear f(u ...
Khalid Ali Alanezy
doaj   +1 more source

Embedding spherical spacelike slices in a Schwarzschild solution

, 2003
Given a spherical spacelike three-geometry, there exists a very simple algebraic condition which tells us whether, and in which, Schwarzschild solution this geometry can be smoothly embedded.
Bartnik R, Gullstrand A, Krzysztof Roszkowski, Misner C, Niall Ó Murchadha, Painlevé P, Wald R M   +6 more
core   +1 more source

Enhanced temperature uniformity by tetrahedral laser heating [PDF]

, 2004
emperature profile on a spherical sample that is heated by laser beams in various geometries while processed in vacuum is analyzed. Sample heating by one or four laser beams was considered.
Bossuyt, Sven, Johnson, William L., Li, Jianzhong, Rhim, Won-Kyu, Schroers, Jan, Zhou, Zhenhua   +5 more
core   +1 more source

Discrete Quantization on Spherical Geometries: Explicit Models, Computations, and Didactic Exposition

Mathematics
This article presents a comprehensive and analytically explicit study of optimal discrete quantization on spherical geometries equipped with the geodesic metric.
Mrinal Kanti Roychowdhury
doaj   +1 more source

Frequency Dependent Specific Heat from Thermal Effusion in Spherical Geometry [PDF]

, 2010
We present a novel method of measuring the frequency dependent specific heat at the glass transition applied to 5-polyphenyl-4-ether. The method employs thermal waves effusing radially out from the surface of a spherical thermistor that acts as both a ...
Bo Jakobsen, G. Harrison, H. S. Carslaw, L. D. Landau, Niels Boye Olsen, T. Christensen, Tage Christensen   +6 more
core   +2 more sources

Inertial modes in near-spherical geometries [PDF]

Geophysical Journal International, 2018
We propose a numerical method to compute the inertial modes of a container with near-spherical geometry based on the fully spectral discretisation of the angular and radial directions using spherical harmonics and Gegenbauer polynomial expansion respectively.
Rekier, J, Trinh, A, Triana, S A, Dehant, V   +3 more
openaire   +3 more sources

A three-dimensional finite element model of cAMP signals

Forces in Mechanics, 2021
This paper presents a three-dimensional finite element model for cyclic adenosine monophosphate (cAMP) signaling. Governing equations for the synthesis, diffusion, and degradation of cAMP were numerically implemented using the finite element method ...
R. Warren, T.C. Rich, S.J. Leavesley, A.-V. Phan   +3 more
doaj   +1 more source

Metric characterizations of spherical, and Euclidean buildings

, 2001
A building is a simplicial complex with a covering by Coxeter complexes (called apartments) satisfying certain combinatorial conditions. A building whose apartments are spherical (respectively Euclidean) Coxeter complexes has a natural piecewise ...
Alexander Lytchak, Ballmann, Ballmann, Bridson, Gromov, Kantor, Kleiner, Ronan, Ruth Charney, Tits   +9 more
core   +1 more source

Spectral Singularities of a Complex Spherical Barrier Potential and Their Optical Realization

, 2011
The mathematical notion of a spectral singularity admits a physical interpretation as a zero-width resonance. It finds an optical realization as a certain type of lasing effect that occurs at the threshold gain.
Ahmed, Ali Mostafazadeh, Bender, Chong, Guseinov, Jackson, Kemp, Longhi, Longhi, Matsko, Mostafazadeh, Mostafazadeh, Mostafazadeh, Mostafazadeh, Mostafazadeh, Mustafa Sarısaman, Naimark, Nooraldeen, Samsonov, Schwartz, Silfvast   +20 more
core   +1 more source

A Demonstration of Underwater Bubble Capture by the Fundamental Acoustic Mode in Spherical Geometry

Walailak Journal of Science and Technology, 2011
Nowadays, scientific demonstrations have become a crucial part of scientific learning. Acoustic waves are normally demonstrated in air via Kundt’s tube, but a physical demonstration for underwater acoustic waves is still lacking.
Umaporn KONTHARAK, Sorasak DANWORAPHONG
doaj   +1 more source