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- W4300893626 abstract "In this paper we study the equilibrium shape of an interface that represents the lateral boundary of a pore channel embedded in an elastomer. The model consists of a system of PDEs, comprising a linear elasticity equation for displacements within the elastomer and a nonlinear Poisson equation for the electric potential within the channel (filled with protons and water). To determine the equilibrium interface, a variational approach is employed. We analyze: i) the existence and uniqueness of the electrical potential, ii) the shape derivatives of state variables and iii) the shape differentiability of the corresponding energy and the corresponding Euler-Lagrange equation. The latter leads to a modified Young-Laplace equation on the interface. This modified equation is compared with the classical Young-Laplace equation by computing several equilibrium shapes, using a fixed point algorithm." @default.
- W4300893626 created "2022-10-04" @default.
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- W4300893626 date "2014-05-28" @default.
- W4300893626 modified "2023-10-16" @default.
- W4300893626 title "Modeling, shape analysis and computation of the equilibrium pore shape near a PEM-PEM intersection" @default.
- W4300893626 doi "https://doi.org/10.48550/arxiv.1405.7309" @default.
- W4300893626 hasPublicationYear "2014" @default.
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