Fractals in Engineering: Theoretical Aspects and Numerical Approximations: 8 (SEMA SIMAI Springer Series, 8) - Hardcover

Hardcover

ISBN 10: 3030618021 ISBN 13: 9783030618025

Publisher: Springer, 2021

Synopsis

Fractal structures or geometries currently play a key role in all models for natural and industrial processes that exhibit the formation of rough surfaces and interfaces. Computer simulations, analytical theories and experiments have led to significant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of different temporal and spatial scales and the presence of contacts among different components through (irregular) interfaces that often connect media with different characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.

About this title

About the Author

Maria Rosaria Lancia is Professor of Mathematical Analysis at Sapienza University of Rome, where she received her PhD in  Applied and Theoretical Mechanics. Her current research interests are Fractal Analysis and Numerical approximation of BVPs in fractal domains. The emphasis is on linear, quasilinear and fractional BVPs in and within fractal domains possibly with dynamical boundary conditions and vector analysis on fractafolds. She is an editorial board member of Fractal and Fractional, MDPI and of the J. of Applied Mathematics and Computation, Hill Publishing Group.

Anna Rozanova-Pierrat is Associate Professor of Applied Mathematics in CentraleSupélec, University Paris-Saclay, France. She obtained his PhD on Applied Mathematics in University Pierre et Marie Currie Paris 6 and RUDN (Moscow, Russia), where she finished her studies on Theoretical and Applied  Mathematics.  Her current research interests are motivated by physical and engineer problems (models of non linear acoustics, de Gennes hypothesis on the speed of the heat propagation between two media, shape optimization) involving irregular and fractal boundaries.

From the Back Cover

Fractal structures or geometries currently play a key role in all models for natural and industrial processes that exhibit the formation of rough surfaces and interfaces. Computer simulations, analytical theories and experiments have led to significant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of different temporal and spatial scales and the presence of contacts among different components through (irregular) interfaces that often connect media with different characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.

Edition details

• Publisher: Springer
• Publication date: 2021
• Language: English
• ISBN 10: 3030618021
• ISBN 13: 9783030618025
• Binding: Hardcover
• Edition number: 1
• Number of pages: 183
• Editor: Lancia Maria Rosaria, Rozanova-Pierrat Anna