Rocca E., Stefanelli U., Truskinovsky L., Visintin A. (Eds.) Trends in Applications of Mathematics to Mechanics

Springer International Publishing AG, 2018. — 374. — (Springer INdAM Series 27). — ISBN: 978-3-319-75939-5.Mechanics and Mathematics have a long history of mutual development. Across the centuries, mathematical formalism has imposed itself as the natural language of Mechanics. On the other hand, applications to Mechanics have constantly driven the progress of mathematical theories.
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. STAMMis the biennial conference organized by the International Society for the Interaction of Mechanics and Mathematics (ISIMM), and the first meeting of this series dates back to 1975.
Among others, these include the following themes:
Functional-analytic theories with applications to the Mechanics of Solids
Modeling of nematic shells, thin films, dry friction, delamination, and damage
Phase-field dynamics of Cahn-Hilliard type
Thermodynamics of gases and continuaRelaxation of p-Growth Integral Functionals Under Space-Dependent Differential Constraints
Weak Lower Semicontinuity by Means of Anisotropic Parametrized Measures
What Does Rank-One Convexity Have to Do with Viscosity Solutions?
On Friedrichs Inequality, Helmholtz Decomposition, Vector Potentials, and the div-curl Lemma
Variational Analysis of Nematic Shells
Modeling of Microstructures in a Cosserat Continuum Using Relaxed Energies
From Nonlinear to Linear Elasticity in a Coupled Rate-Dependent/Independent System for Brittle Delamination
Three Examples Concerning the Interaction of Dry Friction and Oscillations
Numerical Approach to a Model for Quasistatic Damage with Spatial BV -Regularization
Rigidity Effects for Antiferromagnetic Thin Films: A Prototypical Example
Limiting Problems for a Nonstandard Viscous Cahn–Hilliard System with Dynamic Boundary Conditions
On a Cahn–Hilliard–Darcy System for Tumour Growth with Solution Dependent Source Terms
Molecular Extended Thermodynamics of a Rarefied Polyatomic Gas
A Comparison of Two Settings for Stochastic Integration with Respect to Lévy Processes in Infinite Dimensions