Fractals in Engineering: Theoretical Aspects and Numerical Approximations / edited by Maria Rosaria Lancia, Anna Rozanova-Pierrat

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: ICIAM 2019 SEMA SIMAI Springer Series ; 8 | Springer eBook CollectionPublisher: Cham : Springer International Publishing, 2021Publisher: Cham : Imprint: Springer, 2021Edition: 1st ed. 2021Description: 1 Online-Ressource(X, 173 p. 54 illus., 23 illus. in color.)ISBN:

9783030618032

Subject(s):

515 23

DOI: DOI: 10.1007/978-3-030-61803-2Online resources:

Summary: C. Alberini and S. Finzi Vita, A numerical approach to a nonlinear diffusion model for self-organised criticality phenomena -- M. Cefalo et al., Approximation of 3D Stokes flows in fractal domains -- S. Fragapane, ∞-Laplacian obstacle problems in fractal domains -- M. Gabbard, Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- M.V. Marchi, On the dimension of the Sierpinski gasket in l2 -- U. Mosco and M.A. Vivaldi, On the external approximation of Sobolev spaces by M-convergence -- A. Rozanova-Pierrat, Generalization of Rellich-Kondrachov theorem and trace compacteness for fractal boundaries.Summary: 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.PPN: PPN: 1753062098Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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