Titlebook: Analysis, Modeling and Simulation of Multiscale Problems; Alexander Mielke Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2

faddish

Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification, question how the microscopic Hamiltonian and the Lagrangian structures transfer to similar structures on the macroscopic level. Finally we discuss rigorous analytical convergence results of the microscopic system to the macroscopic one by either weak-convergence methods or by quantitative error bounds.

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國(guó)家明智

卡死偷電

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Horizon

Gerry Brown,Randall S. PetersonWe derive a general theory for elastic phase transitions in solids subject to diffusion under possibly large deformations. After stating the physical model, we derive an existence result for measure-valued solutions that relies on a new approximation result for cylinder functions in infinite settings.

羞辱

https://doi.org/10.1007/978-3-030-41582-2We discuss two different approaches related to .-limits of free energy functionals. The first gives an example of how symmetry breaking may occur on the atomistic level, the second aims at deriving a general analytic theory for elasticity on the lattice scale that does not depend on an explicitly chosen reference system.

令人悲傷

初次登臺(tái)

Discrete Free Energy Functionals for Elastic Materials with Phase Change,We discuss two different approaches related to .-limits of free energy functionals. The first gives an example of how symmetry breaking may occur on the atomistic level, the second aims at deriving a general analytic theory for elasticity on the lattice scale that does not depend on an explicitly chosen reference system.

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