Papkovich-Neuber type representations with differential forms
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Publication:2035760
DOI10.1007/S00033-021-01568-WzbMath1467.74011OpenAlexW3173693190MaRDI QIDQ2035760
Publication date: 25 June 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01568-w
linear elasticityRiemannian manifoldStokes equationsPapkovich-Neuber representationexterior calculusNavier-Lame equations
Classical linear elasticity (74B05) Stokes and related (Oseen, etc.) flows (76D07) Applications of differential geometry to physics (53Z05)
Cites Work
- Unnamed Item
- Geometry of conformal vector fields
- Hilbert complexes of nonlinear elasticity
- A representation formula for three-dimensional Stokes flows
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- A div-curl formulation of the Stokes boundary value problem based on a harmonic representation formula
- On the completeness and uniqueness of the Papkovich-Neuber and the non- axisymmetric Boussinesq, Love, and Burgatti solutions in general cylindrical coordinates
- Navier-Stokes equations on Riemannian manifolds
- The formulation of the Navier-Stokes equations on Riemannian manifolds
- On the Representation of Stokes Flows
- On representations of Stokes flows and of the solutions of Navier's equation for linear elasticity
- On the completeness of the Papkovich potentials
- Conformal gradient vector fields on Riemannian manifolds with boundary
- Completeness of the Papkovich potentials
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