On unsteady three-dimensional boundary layer.
I. Pop (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
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I. Pop (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
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David Gérard-Varet, Emmanuel Grenier (2002)
RACSAM
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In meteorology and magnetohydrodynamics many different boundary layers appear. Some of them are already mathematically well known, like Ekman or Hartmann layers. Others remain unstudied, and can be much more complex. The aim of this paper is to give a simple and unified presentation of the main boundary layers, and to propose a simple method to derive their sizes and equations.
Dagmar Medková (1998)
Archivum Mathematicum
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Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.
Ingham, D.B., Hildyard, L.T. (1982)
International Journal of Mathematics and Mathematical Sciences
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J. Goncerzewicz (1983)
Applicationes Mathematicae
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Krauklis, P.V., Krauklis, A.P. (2004)
Journal of Mathematical Sciences (New York)
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O. Gil, F. Quirós (2003)
Annales de l'I.H.P. Analyse non linéaire
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Alberto Cialdea (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The definition of multiple layer potential for the biharmonic equation in is given. In order to represent the solution of Dirichlet problem by means of such a potential, a singular integral system, whose symbol determinant identically vanishes, is considered. The concept of bilateral reduction is introduced and employed for investigating such a system.