Image of a point force in a spherical container and its connection to the Lorentz reflection formula

1996 ◽  
Vol 30 (1-2) ◽  
pp. 119-130 ◽  
Author(s):  
Christine Maul ◽  
Sangtae Kim
Keyword(s):  
Point Force ◽  
Spherical Container ◽  
Reflection Formula

SLOW STEADY ROTATION OF A POROUS SPHERE IN A SPHERICAL CONTAINER

2012 ◽  
Vol 15 (12) ◽  
pp. 1105-1110 ◽  
Author(s):  
D. Srinivasacharya ◽  
M. Krishna Prasad
Keyword(s):  
Porous Sphere ◽  
Steady Rotation ◽  
Spherical Container

Flame characteristics of premixed H2-air mixtures explosion venting in a spherical container through a duct

2021 ◽  
Author(s):  
Weiguo Cao ◽  
Wenjuan Li ◽  
Liang Zhang ◽  
Jianfa Chen ◽  
Shuo Yu ◽  
...  
Keyword(s):  
Spherical Container

Explosion venting hazards of temperature effects and pressure characteristics for premixed hydrogen-air mixtures in a spherical container

Fuel ◽  
2021 ◽  
Vol 290 ◽  
pp. 120034
Author(s):  
Weiguo Cao ◽  
Wenjuan Li ◽  
Shuo Yu ◽  
Yun Zhang ◽  
Chi-Min Shu ◽  
...  
Keyword(s):  
Temperature Effects ◽  
Spherical Container ◽  
Pressure Characteristics

Quasihomeomorphisms and Skula spaces

2021 ◽  
Author(s):  
Othman Echi
Keyword(s):  
Topological Space ◽  
Alternative Proof ◽  
Manuscripta Math ◽  
Alexandroff Space ◽  
Closed Sets ◽  
Locally Closed Sets ◽  
Reflection Formula

Let [Formula: see text] be a topological space. By the Skula topology (or the [Formula: see text]-topology) on [Formula: see text], we mean the topology [Formula: see text] on [Formula: see text] with basis the collection of all [Formula: see text]-locally closed sets of [Formula: see text], the resulting space [Formula: see text] will be denoted by [Formula: see text]. We show that the following results hold: (1) [Formula: see text] is an Alexandroff space if and only if the [Formula: see text]-reflection [Formula: see text] of [Formula: see text] is a [Formula: see text]-space. (2) [Formula: see text] is a Noetherian space if and only if [Formula: see text] is finite. (3) If we denote by [Formula: see text] the Alexandroff extension of [Formula: see text], then [Formula: see text] if and only if [Formula: see text] is a Noetherian quasisober space. We also give an alternative proof of a result due to Simmons concerning the iterated Skula spaces, namely, [Formula: see text]. A space is said to be clopen if its open sets are also closed. In [R. E. Hoffmann, Irreducible filters and sober spaces, Manuscripta Math. 22 (1977) 365–380], Hoffmann introduced a refinement clopen topology [Formula: see text] of [Formula: see text]: The indiscrete components of [Formula: see text] are of the form [Formula: see text], where [Formula: see text] and [Formula: see text] is the intersection of all open sets of [Formula: see text] containing [Formula: see text] (equivalently, [Formula: see text]). We show that [Formula: see text]

scholarly journals Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks

2020 ◽  
Vol 904 ◽  
Author(s):  
Abdallah Daddi-Moussa-Ider ◽  
Alexander R. Sprenger ◽  
Yacine Amarouchene ◽  
Thomas Salez ◽  
Clarissa Schönecker ◽  
...  
Keyword(s):  
Stokes Flow ◽  
Point Force

Abstract

Exact seismograms for a point force using generalized ray theory

Geophysics ◽  
1983 ◽  
Vol 48 (11) ◽  
pp. 1421-1427 ◽  
Author(s):  
E. R. Kanasewich ◽  
P. G. Kelamis ◽  
F. Abramovici
Keyword(s):  
Half Space ◽  
Near Field ◽  
Sedimentary Basins ◽  
Transverse Component ◽  
Point Force ◽  
Seismic Exploration ◽  
Head Wave ◽  
Vertical Force ◽  
Low Velocity ◽  
Head Waves

Exact synthetic seismograms are obtained for a simple layered elastic half‐space due to a buried point force and a point torque. Two models, similar to those encountered in seismic exploration of sedimentary basins, are examined in detail. The seismograms are complete to any specified time and make use of a Cagniard‐Pekeris method and a decomposition into generalized rays. The weathered layer is modeled as a thin low‐velocity layer over a half‐space. For a horizontal force in an arbitrary direction, the transverse component, in the near‐field, shows detectable first arrivals traveling with a compressional wave velocity. The radial and vertical components, at all distances, show a surface head wave (sP*) which is not generated when the source is compressive. A buried vertical force produces the same surface head wave prominently on the radial component. An example is given for a simple “Alberta” model as an aid to the interpretation of wide angle seismic reflections and head waves.

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