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Trends in applications of mathematics to mechanics. Proceedings of the INDAM symposium, STAMM, Rome, Italy, September 5–9, 2016. (English) Zbl 1395.00083

Springer INdAM Series 27. Cham: Springer (ISBN 978-3-319-75939-5/hbk; 978-3-319-75940-1/ebook). ix, 373 p. (2018).

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Publisher’s description: 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Davoli, Elisa; Fonseca, Irene, Relaxation of \(p\)-growth integral functionals under space-dependent differential constraints, 1-21 [Zbl 1407.49014]
Kałamajska, Agnieszka; Krömer, Stefan; Kružík, Martin, Weak lower semicontinuity by means of anisotropic parametrized measures, 23-51 [Zbl 1408.49011]
Pedregal, Pablo, What does rank-one convexity have to do with viscosity solutions?, 53-64 [Zbl 1412.35066]
Schweizer, Ben, On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma, 65-79 [Zbl 1411.31007]
Canevari, Giacomo; Segatti, Antonio, Variational analysis of nematic shells, 81-102 [Zbl 1407.49020]
Khan, Muhammad Sabeel; Hackl, Klaus, Modeling of microstructures in a Cosserat continuum using relaxed energies, 103-125 [Zbl 1407.49073]
Rossi, Riccarda; Thomas, Marita, From nonlinear to linear elasticity in a coupled rate-dependent/independent system for brittle delamination, 127-157 [Zbl 1406.74094]
Mielke, Alexander, Three examples concerning the interaction of dry friction and oscillations, 159-177 [Zbl 1407.49013]
Bartels, Sören; Milicevic, Marijo; Thomas, Marita, Numerical approach to a model for quasistatic damage with spatial \(BV\)-regularization, 179-203 [Zbl 1407.49048]
Braides, Andrea, Rigidity effects for antiferromagnetic thin films: a prototypical example, 205-216 [Zbl 1407.82064]
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen, Limiting problems for a nonstandard viscous Cahn-Hilliard system with dynamic boundary conditions, 217-242 [Zbl 1406.74545]
Garcke, Harald; Lam, Kei Fong, On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms, 243-264 [Zbl 1406.92296]
Ruggeri, Tommaso, Molecular extended thermodynamics of a rarefied polyatomic gas, 265-287 [Zbl 1407.82042]
Cyr, Justin; Tang, Sisi; Temam, Roger, A comparison of two settings for stochastic integration with respect to Lévy processes in infinite dimensions, 289-373 [Zbl 1403.60043]

MSC:

00B25 Proceedings of conferences of miscellaneous specific interest
00A69 General applied mathematics
49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
60-06 Proceedings, conferences, collections, etc. pertaining to probability theory
90-06 Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming
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