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A variational theory of convolution- Type functionals

Name: A variational theory of convolution- Type functionals
Brand: Springer, Berlin
SKU: 42852643
Price: 51.68 EUR
Availability: InStock
Author: Roberto Alicandro
ISBN: 9789819906840

Language

English

Book Paperback

Libristo code: 42852643

Publishers Springer, Berlin, June 2023

This book provides a general treatment of a class of functionals modelled on convolution energies wi... Full description

Libristo code: 42852643

125 b

51.68 €

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This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the interest in building up a general theory is also motivated by the multiple interests in applications (e.g. peridynamics theory, population dynamics phenomena and data science). The results obtained are applied to periodic and stochastic homogenization, perforated domains, gradient flows, and point-clouds models.This book is mainly intended for mathematical analysts and applied mathematicians who are also interested in exploring further applications of the theory to pass from a non-local to a local description, both in static problems and in dynamic problems.