Название: Trends in Applications of Mathematics to Mechanics Автор: Elisabetta Rocca, Ulisse Stefanelli Издательство: Springer International Publishing Год: 2018 ISBN: 9783319759401 Серия: Springer INdAM Series (Book 27) Формат: epub, pdf Страниц: IX, 373 Размер: 13,2 mb Язык: English
This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and gases, nematic shells, thin films, dry friction, delamination, damage, and phase-field dynamics. The papers in the volume present novel results and identify possible future developments. The book is addressed to researchers involved in Mathematics and its applications to Mechanics.
Relaxation of p-Growth Integral Functionals Under Space-Dependent Differential Constraints Davoli, Elisa (et al.) Pages 1-21
Weak Lower Semicontinuity by Means of Anisotropic Parametrized Measures Ka?amajska, Agnieszka (et al.) Pages 23-51
What Does Rank-One Convexity Have to Do with Viscosity Solutions? Pedregal, Pablo Pages 53-64
On Friedrichs Inequality, Helmholtz Decomposition, Vector Potentials, and the div-curl Lemma Schweizer, Ben Pages 65-79
Variational Analysis of Nematic Shells Canevari, Giacomo (et al.) Pages 81-102
Modeling of Microstructures in a Cosserat Continuum Using Relaxed Energies Khan, Muhammad Sabeel (et al.) Pages 103-125
From Nonlinear to Linear Elasticity in a Coupled Rate-Dependent/Independent System for Brittle Delamination Rossi, Riccarda (et al.) Pages 127-157
Three Examples Concerning the Interaction of Dry Friction and Oscillations Mielke, Alexander Pages 159-177
Numerical Approach to a Model for Quasistatic Damage with Spatial BV?-Regularization Bartels, S?ren (et al.) Pages 179-203
Rigidity Effects for Antiferromagnetic Thin Films: A Prototypical Example Braides, Andrea Pages 205-216
Limiting Problems for a Nonstandard Viscous Cahn–Hilliard System with Dynamic Boundary Conditions Colli, Pierluigi (et al.) Pages 217-242
On a Cahn–Hilliard–Darcy System for Tumour Growth with Solution Dependent Source Terms Garcke, Harald (et al.) Pages 243-264
Molecular Extended Thermodynamics of a Rarefied Polyatomic Gas Ruggeri, Tommaso Pages 265-287
A Comparison of Two Settings for Stochastic Integration with Respect to L?vy Processes in Infinite Dimensions Cyr, Justin (et al.) Pages 289-373
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