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The solution to the Kohn-Sham equation in the density functional theory of the quantum many-body problem is studied in the context of the electronic structure of smoothly deformed macroscopic crystals. An analog of the classical Cauchy-Born rule for crystal lattices is establish…
This classic offers a meticulous account of the theory of finite elasticity. It covers the application of the theory to the solution of boundary-value problems, as well as the analysis of the mechanical properties of solid materials capable of large elastic deformations. Setting…
"This meticulous and precise account of the theory of finite elasticity fills a significant gap in the literature. The book is concerned with the mathematical theory of non-linear elasticity, the application of this theory to the solution of boundary-value problems (including di…
This paper studies the reduction theory of analytic parametric families of systems of linear meromorphic differential equations in the neighborhood of an irregular singularity.
