Hele—Shaw flow model of the injection by a point source

DOI10.1017/S0308210500012701zbMath0508.76030MaRDI QIDQ4747757

Vladimir Janovský, Pavel Čížek

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionregularizationmethod of penalizationsemi-coercive variational inequalityclassical extremum argumentsinitial blobplane Hele-Shaw flow model of injection by point sourcesingular obstacle

Mathematics Subject Classification ID

Variational inequalities (49J40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (2)

A generalized temperature-dependent, non-Newtonian Hele-Shaw flow in injection and compression moulding ⋮ The transient lubrication problem as a generalized Hele-Shaw type problem

Cites Work

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A variational inequality approach to Hele-Shaw flow with a moving boundary
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

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