Abstract
We derive Papkovich–Neuber type representations for the solutions of Navier–Lamé equations in linear elastostatics and of the stationary Stokes equations using exterior calculus on the Euclidean space. We generalize the result for two-dimensional Riemannian manifolds.
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The author is highly thankful to the anonymous reviewers for the helpful suggestions.
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Zsuppán, S. Papkovich–Neuber type representations with differential forms. Z. Angew. Math. Phys. 72, 140 (2021). https://doi.org/10.1007/s00033-021-01568-w
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DOI: https://doi.org/10.1007/s00033-021-01568-w