Singularities of Maxwell interface problems
Martin Costabel, Monique Dauge, Serge Nicaise (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “Singularities of eddy current problems”
Singularities of Maxwell interface problems
Singularities of eddy current problems
Martin Costabel, Monique Dauge, Serge Nicaise (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the time-harmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit, this limit has to be understood in the sense of Bossavit [11]. We describe the singularities of the solutions. They are related to edge and corner singularities of certain problems for the scalar Laplace...
Differential spaces and singularities of space-time.
Buchner, Klaus (1997)
General Mathematics
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On the removal of subharmonic singularities of plurisubharmonic functions
E. M. Chirka (2003)
Annales Polonici Mathematici
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It is proved that any subharmonic function in a domain Ω ⊂ ℂⁿ which is plurisubharmonic outside of a real hypersurface of class C¹ is indeed plurisubharmonic in Ω.
On the edge singularities in composite media. Influence of anisotropy
E. Sanchez-Palencia (1987)
Banach Center Publications
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Non-smoothness in the asymptotics of thin shells and propagation of singularities. Hyperbolic case
Philippe Karamian, Jacqueline Sanchez-Hubert, Évariste Sanchez Palencia (2002)
International Journal of Applied Mathematics and Computer Science
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We consider the limit behaviour of elastic shells when the relative thickness tends to zero. We address the case when the middle surface has principal curvatures of opposite signs and the boundary conditions ensure the geometrical rigidity. The limit problem is hyperbolic, but enjoys peculiarities which imply singularities of unusual intensity. We study these singularities and their propagation for several cases of loading, giving a somewhat complete description of the solution. ...