Analysis, modeling and simulation of multiscale problems

L etude approfondie de la nature estlasourcelaplusf econde des d ecouvertes math ematiques. J.B.J. Fourier (1768 1830) Recent technological advances allow us to study and manipulate matter on the atomic scale.Thus, the traditionalborders between mechanics,physics and chemistry seem to disappear and...

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Auteurs principaux: Mielke, Alexander, Mielke, Alexander, 1958- (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books [20..].
Cham : Springer Nature
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Note: Description d'après consultation du 09 mars 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Analysis, modeling and simulation of multiscale problems, Alexander Mielke, editor, Berlin, Springer, 2006, 1 vol. (xvii-697 p.), 3-540-35656-8
Table des matières:
  • Exponential Estimates in Averaging and Homogenisation Multiscale Problems in Solidification Processes Multiscale Modeling of Epitaxial Growth: From Discrete-Continuum to Continuum Equations On Asymptotic Limits of Cahn-Hilliard Systems with Elastic Misfit Simulations of Complex Microstructure Formations Multiple Scales in Phase Separating Systems with Elastic Misfit A General Theory for Elastic Phase Transitions in Crystals Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility Domain Walls and Vortices in Thin Ferromagnetic Films Wavelet-Based Multiscale Methods for Electronic Structure Calculations Multi-Scale Modeling of Quantum Semiconductor Devices Electronic States in Semiconductor Nanostructures and Upscaling to Semi-Classical Models Shape Optimization of Biomorphic Ceramics with Microstructures by Homogenization Modeling Discrete Free Energy Functionals for Elastic Materials with Phase Change Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification Wave Trains, Solitons and Modulation Theory in FPU Chains On the Effect of Correlations, Fluctuations and Collisions in Ostwald Ripening Radiative Friction for Charges Interacting with the Radiation Field: Classical Many-Particle Systems Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review Energy Level Crossings in Molecular Dynamics Motion of Electrons in Adiabatically Perturbed Periodic Structures Graph Algorithms for Dynamical Systems Conditional Averaging for Diffusive Fast-Slow Systems: A Sketch for Derivation