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pro vyhledávání: '"Lyons, Tony"'
Autor:
Lyons, Tony
Publikováno v:
Foundations of Physics, 53, 2023
Relative motion of particles is examined in the context of relational space-time. It is shown that de Broglie waves may be derived as a representation of the coordinate maps between the rest-frames of these particles. Energy and momentum are not abso
Externí odkaz:
http://arxiv.org/abs/2303.14129
Autor:
Lyons, Tony
The relative motion of material, point-like observers is analysed in terms of coordinate maps between the respective rest-frame of each observer. Under the assumption these maps are $C^{2}$-regular, conservation laws are deduced, which in turn are fo
Externí odkaz:
http://arxiv.org/abs/2209.06076
Autor:
Lyons, Tony
Publikováno v:
Communications on Pure and Applied Analysis, 21, 7, (2022), 2399-2414
We investigate particle trajectories in equatorial flows with geophysical corrections caused by the earth's rotation. Particle trajectories in the flows are constructed using pairs of analytic functions defined over the labelling space used in the La
Externí odkaz:
http://arxiv.org/abs/2207.00162
Autor:
Lyons, Tony
Publikováno v:
Journal of Mathematical Fluid Mechanics, 23, 43, (2021), 16 pages
We generate explicit height-dependent eddy viscosity coefficients in the Ekman layer from convex wind speed profiles. The solutions we obtain are parameterized in terms of the relative deflection angle between the wind directions at the top and botto
Externí odkaz:
http://arxiv.org/abs/2206.09712
Autor:
Lyons, Tony
Publikováno v:
Discrete and Continuous Dynamical Systems,39,8,(2019),4471--4486
The existence of internal geophysical waves of extreme form is confirmed and an explicit solution presented. The flow is confined to a layer lying above an eastward current while the mean horizontal flow of the solutions is westward, thus incorporati
Externí odkaz:
http://arxiv.org/abs/2206.09698