Existence and uniqueness for the axially symmetric problem of strength of a hollow cylinder in an isotropic medium

2014 ◽  
Vol 8 ◽  
pp. 2255-2263
Author(s):  
Almat Bekaev ◽  
Burkhan Kalimbetov ◽  
Alisher Temirbekov
Keyword(s):  
Hollow Cylinder ◽  
Isotropic Medium ◽  
Existence And Uniqueness ◽  
Symmetric Problem ◽  
Axially Symmetric

scholarly journals On the Bean critical-state model in superconductivity

1996 ◽  
Vol 7 (3) ◽  
pp. 237-247 ◽  
Author(s):  
L. Prigozhin
Keyword(s):  
Variational Inequalities ◽  
Critical State ◽  
Existence And Uniqueness ◽  
Critical State Model ◽  
Type Ii ◽  
Two Dimensional ◽  
Axially Symmetric ◽  
Uniqueness Of The Solution ◽  
Type Ii Superconductivity ◽  
Special Case

We consider two-dimensional and axially symmetric critical-state problems in type-II superconductivity, and show that these problems are equivalent to evolutionary quasi-variational inequalities. In a special case, where the inequalities become variational, the existence and uniqueness of the solution are proved.

Lamb's inverse axially symmetric problem

1996 ◽  
Vol 79 (4) ◽  
pp. 1191-1202
Author(s):  
A. S. Blagoveshchenskii
Keyword(s):  
Symmetric Problem ◽  
Axially Symmetric

GCM Procedure

2020 ◽  
pp. 486-599
Author(s):  
Sergiu Klainerman ◽  
Jérémie Szeftel
Keyword(s):  
Existence And Uniqueness ◽  
Axially Symmetric ◽  
Geodesic Foliation ◽  
Spacetime Region ◽  
Transformation Formulas

This chapter describes the general covariant modulation (GCM) procedure in detail. It considers an axially symmetric polarized spacetime region R foliated by two functions (u, s) such that: on R, (u, s) defines an outgoing geodesic foliation as in section 2.2.4. The chapter then outlines the elliptic Hodge lemma. It also looks at the deformations of S surfaces, frame transformations, and the existence of GCM spheres. It recalls the transformation formulas recorded in Proposition 2.90, before rewriting a subset of these transformations in a more useful form. In the proof of existence and uniqueness of GCMS, one needs, in addition to the equations derived so far, an equation for the average of α‎. Finally, the chapter discusses the construction of GCM hypersurfaces.

Nystrom method for the Muller boundary integral equations on a dielectric body of revolution: axially symmetric problem

2015 ◽  
Vol 9 (11) ◽  
pp. 1186-1192 ◽  
Author(s):  
Vitaliy S. Bulygin ◽  
Yuriy V. Gandel ◽  
Ana Vukovic ◽  
Trevor M. Benson ◽  
Phillip Sewell ◽  
...  
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Body Of Revolution ◽  
Symmetric Problem ◽  
Axially Symmetric ◽  
Dielectric Body ◽  
Nyström Method ◽  
Nystrom Method
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