Shape-dependent natural boundary condition of Lagrangian field

DOI10.1016/j.aml.2016.05.006zbMath1347.83007OpenAlexW2398774175MaRDI QIDQ308900

Zaixing Huang

Publication date: 6 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.aml.2016.05.006

zbMATH Keywords

surface energyGaussian curvaturegeneralized Young-Laplace' equationLagrangian field theoryshape equation of lipid vesicleshape-dependent natural boundary condition

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (2)

Torsional wave and vibration subjected to constraint of surface elasticity ⋮ Aspects of interface elasticity theory

Cites Work

• Geometrically nonlinear higher-gradient elasticity with energetic boundaries
• A continuum theory of elastic material surfaces
• Equilibrium of a second-gradient fluid and an elastic solid with surface stresses
• Stability of MultiComponent Biological Membranes
• Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
• Symmetrical fundamental tensors, differential operators, and integral theorems in differential geometry
• Modified Korteweg–de Vries surfaces
• Elastic surface—substrate interactions
• Simplified proofs of three theorems on the kinematics of axisymmetric deformation of shells of revolution
• On the non-uniqueness of solution in surface elasticity theory

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