Boundary integral equations of the first kind for planar vector fields in multiply connected domains

DOI10.1007/BF01177004zbMath0749.76043OpenAlexW2038757908MaRDI QIDQ1194180

Piero Bassanini, Maria Rosaria Lancia

Publication date: 27 September 1992

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01177004

zbMATH Keywords

stabilityweak solutionexistenceuniquenessPoincaré-Weyl representationseveral lifting bodies

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Boundary element methods applied to problems in fluid mechanics (76M15) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Cites Work

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• On the stability of viscous fluid motions
• On the stability of integral equations of the first kind with logarithmic kernels
• Integral equations with non integrable kernels
• A finite element method for some integral equations of the first kind
• On an integral equation in electromagnetic diffraction theory
• The method of orthogonal projection in potential theory
• Finite Element Methods for Navier-Stokes Equations
• Strong ellipticity of boundary integral operators.
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem
• Linear integral equations

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