scholarly journals Holonomic D-Modules Associated with a Simple Line Singularity and the Vertical Monodromy

2021 ◽  
Vol 64 (1) ◽  
pp. 17-48
Author(s):  
Shinichi Tajima ◽  
Yoko Umeta
Keyword(s):  
Line Singularity

Characterizations of Simple Isolated Line Singularities

1999 ◽  
Vol 42 (4) ◽  
pp. 499-506 ◽  
Author(s):  
Alexandru Zaharia
Keyword(s):  
Function Germ ◽  
Critical Set ◽  
Line Singularity ◽  
Line Singularities

AbstractA line singularity is a function germ with a smooth 1-dimensional critical set . An isolated line singularity is defined by the condition that for every x ≠ 0, the germ of f at (x, 0) is equivalent to . Simple isolated line singularities were classified by Dirk Siersma and are analogous of the famous A − D − E singularities. We give two new characterizations of simple isolated line singularities.

scholarly journals On the Moving Contact Line Singularity

2019 ◽  
Vol 64 (1) ◽  
pp. 27-29
Author(s):  
R. V. Krechetnikov
Keyword(s):  
Contact Line ◽  
Moving Contact Line ◽  
Moving Contact ◽  
Line Singularity

scholarly journals TRAPPING PHOTONS BY A LINE SINGULARITY

2003 ◽  
Vol 12 (06) ◽  
pp. 1095-1112 ◽  
Author(s):  
METIN ARIK ◽  
OZGUR DELICE
Keyword(s):  
Energy Density ◽  
Thin Shell ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Cylindrically Symmetric ◽  
Static Solutions ◽  
Line Singularity ◽  
Thick Shells

We present cylindrically symmetric, static solutions of the Einstein field equations around a line singularity such that the energy momentum tensor corresponds to infinitely thin photonic shells. Positivity of the energy density of the thin shell and the line singularity is discussed. It is also shown that thick shells containing mostly radiation are possible in a numerical solution.

scholarly journals Shock-less Hypersonic Intakes

2021 ◽  
Author(s):  
Seyed Hossein Miri
Keyword(s):  
Exact Solution ◽  
Mach Number ◽  
Finite Volume Method ◽  
Conical Flow ◽  
Low Mach Number ◽  
Simulation Based ◽  
Line Singularity ◽  
Air Intake ◽  
Volume Method ◽  
Intake Flow

The accuracy of CFD for simulating hypersonic air intake flow is verified by calculating the flow inside a Busemann type intake. The CFD results are then compared against the “exact” solution for the Busemann intake as calculated from the Taylor-McColl equations for conical flow. The method proposed by G. Emanuel (the Lens Analogy) for generating an intake shape that transforms parallel and uniform hypersonic (freestream) flow isentropically to another parallel and uniform, less hypersonic, flow has been verified by CFD (SOLVER II) simulation, based on Finite Volume Method (FVM). The shock-less (isentropic) nature of the Lens Analogy (LA) flow shapes has been explored at both on and off-design Mach numbers. The Lens Analogy (LA) method exhibits a limit line (singularity) for low Mach number flows, where the streamlines perform an unrealistic reversal in direction. CFD calculations show no corresponding anomalies.

scholarly journals A dynamical systems approach for the contact-line singularity in thin-film flows

2016 ◽  
Vol 144 ◽  
pp. 204-235 ◽  
Author(s):  
Fethi Ben Belgacem ◽  
Manuel V. Gnann ◽  
Christian Kuehn
Keyword(s):  
Thin Film ◽  
Dynamical Systems ◽  
Contact Line ◽  
Systems Approach ◽  
Line Singularity ◽  
Film Flows

Line singularities in unbounded stratified flow

1974 ◽  
Vol 66 (3) ◽  
pp. 455-464 ◽  
Author(s):  
G. S. Janowitz
Keyword(s):  
Flow Field ◽  
Incompressible Flow ◽  
Stratified Flow ◽  
Stratified Fluid ◽  
Pressure Distributions ◽  
Vortex Solution ◽  
Line Singularity ◽  
Field Disturbance ◽  
Line Singularities

We obtain the solutions, under the Oseen and Boussinesq approximations, for the flow field disturbance due to a line singularity in an otherwise uniform, horizontal, inviscid, incompressible flow of a vertically stratified fluid. The results obtained show no upstream influence for those singularities across which [xdtri ]2ψ + (N/U)2ψ is continuous. Doublet and vortex singularities are examples of these. Uniform flows past doublets and vortices are considered for a range of internal Froude numbers, including the calculation of the pressure distributions and drag for the doublet. An application of the vortex solution to flows in the β-plane is discussed.

scholarly journals DYONS OF ONE-HALF MONOPOLE CHARGE

2006 ◽  
Vol 21 (26) ◽  
pp. 5285-5298
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG
Keyword(s):  
Energy Density ◽  
Electromagnetic Fields ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Line Singularity ◽  
Infinite Energy

We would like to present some exact SU(2) Yang–Mills–Higgs dyon solutions of one-half monopole charge. These static dyon solutions satisfy the first order Bogomol'nyi equations and are characterized by a parameter, m. They are axially symmetric. The gauge potentials and the electromagnetic fields possess a string singularity along the negative z-axis and hence they possess infinite energy density along the line singularity. However the net electric charges of these dyons which varies with the parameter m are finite.

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