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.

Autorentext

Prof. Elisabetta Rocca graduated with a degree in Mathematics from the University of Pavia in 1999, where she subsequently completed her PhD in 2004. She was a researcher at the University of Milan until 2011, when she became an associate professor. She moved to the WIAS in Berlin in 2013, where she spent 2 years coordinating a research group within the ERC Starting Grant she was awarded as a PI in 2011. She transferred to the University of Pavia in 2016, where she is currently an associate professor. She is the author of more than 80 papers on Mathematical Analysis and Applications.

Prof. Ulisse Stefanelli graduated with a degree in Mathematics and Scientific Computing from the University of Pavia in 2003. Since 2001 he has been working at the National Research Council's Istituto di Matematica Applicata e Tecnologie Informatiche 'E. Magenes'. In 2013 he was appointed Chair of Applied Mathematics and Modeling at the University of Vienna. His research activities focus on Calculus of Variations and partial differential equations, especially in applications to Mechanics and Materials Science.

****Prof. Lev Truskinovsky is a CNRS research director at ESPCI PSL, Paris, France. From 1990 to 2004 he served on the faculty at the University of Minnesota. Holding a PhD in Applied Mathematics from the Russian Academy of Sciences, he is the author of more than 120 papers. He served as President of the ISIMM from 2009 to 2014.

Prof. Augusto Visintin graduated with a degree in Mathematics from the University of Pavia in 1975. He has been researcher at the IAN of CNR of Pavia and at SFB 123 in Heidelberg, Germany. He has been a full professor of Mathematical Analysis at the University of Trento since 1987.

Klappentext

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 59 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.

Inhalt

1 E. Davoli and I. Fonseca, Relaxation of p-growth integral functionals under space-dependent differential constraints.- 2 A. Kalamajska et al., Weak lower semicontinuity by means of anisotropic parametrized measures.- 3 P. Pedregal, What does rank-one convexity have to do with viscosity solutions?.- 4 B. Schweizer, On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma.- 5 G. Canevari and A. Segatti, Variational analysis of nematic shells.- 6 M. Sabeel Khan and K. Hackl, Modeling of microstructures in a Cosserat continuum using relaxed energies.- 7 R. Rossi and M. Thomas, From nonlinear to linear elasticity in a coupled rate-dependent/independent system for brittle delamination.- 8 A. Mielke, Three examples concerning the interaction of dry friction and oscillations.- 9 S. Bartels et al., Numerical approach to a model for quasistatic damage with spatial BV regularization.- 10 A. Braides, Rigidity effects for antiferromagnetic thin films: a prototypical example.- 11 P. Colli et al., Limiting problems for a nonstandard viscous CahnHilliard system with dynamic boundary conditions.- 12 H. Garcke and K.F. Lam, On a CahnHilliardDarcy system for tumour growth with solution dependent source terms.- 13 T. Ruggeri, Molecular extended thermodynamics of a rarefied polyatomic gas.- 14 J. Cyr, A comparison of two settings for stochastic integration with respect to Lévy processes in infinite dimensions.