A Variational Theory of Convolution-Type Functionals - Nadia Ansini,Roberto Alicandro,Andrea Braides,Antonio Tribuzio,Andrey Piatnitski
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Toimitus 12-18 arkipäivässä
30 päivän palautusoikeus
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 build ... Täydellinen kuvaus
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Kuvaus
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.
Lisätietoja
| Kirjoittaja | Nadia Ansini, Roberto Alicandro, Andrea Braides, Antonio Tribuzio, Andrey Piatnitski |
|---|---|
| Julkaisija | Springer Nature Singapore |
| Julkaisuvuosi | 2023 |
| Kannen tyyppi | Pehmeäkantinen |
| EAN | 9789819906840 |