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Springer INdAM Series

Mathematical Modeling in Cultural Heritage

MACH2019

Editors: Bonetti, E., Cavaterra, C., Natalini, R., Solci, M. (Eds.)

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  • Innovative approach: it is one of the first real scientific contacts between the mathematical community and the experts in cultural heritage
  • Effective multidisciplinary interaction: the results of concrete collaboration projects between research groups dealing with the degradation of the historical and artistic heritage are presented
  • Development potential: the possibility of finding suitable mathematical models to provide an effective and non-invasive predictive analysis tool can be a fundamental task in the cultural heritage conservation field
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eBook 106,99 €
price for Spain (gross)
  • ISBN 978-3-030-58077-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-030-58076-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This work collects the contributions presented at the INdAM Workshop “Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage – MACH2019” held in Rome in March 2019. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are: corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, phase transitions and reaction-diffusion models, restoration techniques, additive manufacturing. The final goal is to build a permanent bridge between the experts in cultural heritage and the mathematical community. The work is addressed to experts in cultural heritage and to mathematicians.

 

About the authors

Elena Bonetti is associate professor of Mathematical Analysis at Università degli Studi di Milano, where she got her  Ph.D. in Mathematics. Her research activity focuses on systems of nonlinear partial differential equations with applications to phase transitions and separations phenomena, non-smooth thermo-mechanical models, smart materials behaviour, adhesion and damage problems. Recently, she analysed new models for restoration and conservation of monumental stones in cultural heritage subject to chemical and mechanical degradation.

Cecilia Cavaterra is currently associate professor of Mathematical Analysis at Università degli Studi di Milano. She got a Ph.D. in Mathematics at Alma Mater Studiorum - Università di Bologna. Her main research interests concern nonlinear partial differential equations, dynamical systems, inverse and control problems. Her recent works are related to the mathematical analysis of models describing the chemical and mechanical degradation of monumental stones in cultural heritage.

Roberto Natalini is a Director of research at the IAC-CNR, where he is also the Director of Institute since 2014. He studies evolutionary partial differential equations with applications to fluid dynamics, biology, car traffic and problems in conservation of cultural heritage. He published more than 120 papers on International peer-review journals. Since 2018 he is Delegate for CNR in the Steering Committee of the Regional District for Cultural Heritage in Latium (Italy).

Margherita Solci is associate professor of Mathematical Analysis at Università degli Studi di Sassari. She got a Ph.D. in Mathematics at Università di Pavia. Her research activity focuses on Calculus of Variations, Gamma-convergence, homogenization, analysis of discrete-to-continuum models via variational convergence. Recently, she worked on evolution problems for structural damage in archaeological buildings.


Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 106,99 €
price for Spain (gross)
  • ISBN 978-3-030-58077-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-030-58076-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modeling in Cultural Heritage
Book Subtitle
MACH2019
Editors
  • Elena Bonetti
  • Cecilia Cavaterra
  • Roberto Natalini
  • Margherita Solci
Series Title
Springer INdAM Series
Series Volume
41
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-58077-3
DOI
10.1007/978-3-030-58077-3
Hardcover ISBN
978-3-030-58076-6
Series ISSN
2281-518X
Edition Number
1
Number of Pages
X, 164
Number of Illustrations
22 b/w illustrations, 62 illustrations in colour
Topics