Hamiltonian Dynamic Equations for Fluid Films

DOI10.1111/j.1467-9590.2010.00485.xzbMath1206.35206OpenAlexW1571151540WikidataQ60016058 ScholiaQ60016058MaRDI QIDQ3056493

Pavel Grinfeld

Publication date: 12 November 2010

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2010.00485.x

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

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Cites Work

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• Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains
• Exact nonlinear equations for fluid films and proper adaptations of conservation theorems from classical hydrodynamics
• Generalization of Hadamard's Laplace eigenvalue formula to deforming manifolds
• Acceleration waves in simple elastic materials
• A way to compute the gravitational potential for near-spherical geometries
• Variational principle for three-dimensional steady-state flows of an ideal fluid
• Cosserat theories: Shells, rods and points

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