Titlebook: Differential Geometry and Continuum Mechanics; Gui-Qiang G. Chen,Michael Grinfeld,R. J. Knops Conference proceedings 2015 Springer Interna

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大門在匯總

Cees A. W. Glas,Norman D. Verhelstimensional Euclidean space. It is shown how the balance laws can be expressed in quasi-linear symmetric form and how weak solutions for the linearized problem can be established from the Lax-Milgram theorem.

DECRY

https://doi.org/10.1007/978-1-4842-0799-4guration .. When the mesh size of the discrete lattice in . goes to zero, we obtain the variational bounds on the limiting (in the sense of .-limit) energy. In the case of the nearest-neighbour and next-to-nearest-neighbour interactions, we derive a precise asymptotic formula, and compare it with the non-Euclidean model energy relative to ..

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critic

Global Isometric Embedding of Surfaces in ,In this note, we give a short survey on the global isometric embedding of surfaces (2-dimensional Riemannian manifolds) in .. We will present associated partial differential equations for the isometric embedding and discuss their solvability. We will illustrate the important role of Gauss curvature in solving these equations.

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IVORY

978-3-319-37133-7Springer International Publishing Switzerland 2015

NEX

Tine Nielsen,Pedro Henrique Ribeiro Santiagoal equations) of continuum mechanics and physics. Many years ago, I believed an improvement could be achieved that included more geometrical ideas. I can only conjecture what should be done, but I consider it useful to present an historical perspective, in order to place ideas in their context, and

特征

https://doi.org/10.1007/978-1-4612-4230-7larised with an additional curvature term to avoid difficulties coming from a lack of convexity. We study the asymptotic behaviour of the resulting functional as the strength of the regularisation tends to 0. We consider two cases. The first corresponds to a cubic crystal structure. The expected sha