A generalized Milne-Thomson theorem for the case of parabolic inclusion

DOI10.1016/J.APM.2008.05.004zbMath1205.76257OpenAlexW2059728707MaRDI QIDQ965697

Yu. V. Obnosov

Publication date: 24 April 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2008.05.004

zbMATH Keywords

heterogeneous mediaanalytic functionscircular theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Boundary value problems in the complex plane (30E25)

Related Items (13)

A generalised Milne-Thomson theorem for the case of an elliptical inclusion ⋮ Uniformity of stresses inside a parabolic inhomogeneity ⋮ Solution of a problem of \(\mathbb R\)-linear conjugation for confocal elliptical annulus in the class of piecewise meromorphic functions ⋮ Analytic solution of an \(\mathbb R\)-linear conjugation problem in the case of hyperbolic interface ⋮ Uniformity of stresses inside a parabolic inhomogeneity in finite plane elastostatics ⋮ The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields ⋮ Analytical solutions for seepage near material boundaries in dam cores: the Davison-Kalinin problems revisited ⋮ Groundwater flow in hillslopes: analytical solutions by the theory of holomorphic functions and hydraulic theory ⋮ An \(\mathbb{R}\)-linear conjugation problem for a plane two-component heterogeneous structure with an array of periodically distributed sinks/sources ⋮ A circular Eshelby inclusion with linear eigenstrains interacting with a coated non-parabolic inhomogeneity with internal uniform anti-plane stresses ⋮ An exact analytical solution of an \(\mathbb{R}\)-linear conjugation problem for a \(n\)-phased concentric circular heterogeneous structure ⋮ An \(\mathbb{R}\)-linear conjugation problem for two concentric annuli ⋮ Three–phase eccentric annulus subjected to a potential field induced by arbitrary singularities

Cites Work

• Axisymmetric critical cavities for water exclusion in ``Green and Ampt soils: Use of Pologii's integral transform
• Solution of the \(\mathbb R\)-linear conjugation problem in the case of a hyperbolic boundary line of heterogeneous phases
• A generalized Milne-Thomson theorem
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