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A Variational Theory of Convolution-Type Functionals
Engelsk
Bogcover for A Variational Theory of Convolution-Type Functionals af Andrea Braides, Nadia Ansini, Antonio Tribuzio, Roberto Alicandro, Andrey Piatnitski, 9789819906840
Specifikationer
Sprog:
Engelsk
Sider:
116
ISBN-13:
9789819906840
Indbinding:
Paperback
ISBN-10:
9819906849
Udg. Dato:
3 maj 2023
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
3 maj 2023

A Variational Theory of Convolution-Type Functionals

Engelsk
Paperback 2023
Format:

Bog beskrivelse
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.  
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Specifikationer
Sprog:
Engelsk
Sider:
116
ISBN-13:
9789819906840
Indbinding:
Paperback
ISBN-10:
9819906849
Udg. Dato:
3 maj 2023
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
3 maj 2023
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