A Variational Theory of Convolution-Type Functionals - Nadia Ansini,Roberto Alicandro,Andrea Braides,Antonio Tribuzio,Andrey Piatnitski
Nadia Ansini, Roberto Alicandro, Andrea Braides, Antonio Tribuzio, Andrey Piatnitski
-20% with code BOOKS
Shipping in 12-18 days
30-day return policy
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 ... Full description
You May Also Like
TOP
Determined: The Science of Life Without Free Will
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Fall of the Dinosaurs: A New History of a Lost World
-20% with code BOOKS
In stock at our supplier
TOP
Factfulness: Ten Reasons We're Wrong About the World--and Why Things Are Better Than You Think
Ola Rosling, Anna Rosling Rönnlund, Hans Rosling
-20% with code BOOKS
In stock at our supplier
TOP
Biology: A Global Approach, Global Edition
Neil Campbell, Rebecca Orr, Lisa Urry, Peter Minorsky, Michael Cain, Jane Reece, Steven Wasserman
-20% with code BOOKS
In stock at our supplier
TOP
Six Not-so-easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Entangled Life: How Fungi Make Our Worlds, Change Our Minds and Shape Our Futures
-20% with code BOOKS
In stock at our supplier
TOP
The Light Eaters: How the Unseen World of Plant Intelligence Offers a New Understanding of Life on Earth
-20% with code BOOKS
In stock at our supplier
TOP
The Age of Alchemy: How Early Innovators Shaped Modern Chemistry
-20% with code BOOKS
In stock at our supplier
TOP
The Secrets of our DNA: How Genetics has Changed the World
-20% with code BOOKS
In stock at our supplier
TOP
Janeway's Immunobiology
Leslie J. Berg, Kenneth Murphy, Casey Weaver
-20% with code BOOKS
In stock at our supplier
TOP
Behave: The Biology of Humans at Our Best and Worst
-20% with code BOOKS
In stock at our supplier
TOP
Why We Sleep: Unlocking the Power of Sleep and Dreams
-20% with code BOOKS
In stock
TOP
Why Machines Learn: The Elegant Maths Behind Modern AI
-20% with code BOOKS
In stock at our supplier
TOP
Life As No One Knows It: The Physics of Life's Emergence
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Reign of the Mammals: A New History, from the Shadow of the Dinosaurs to Us
-20% with code BOOKS
In stock at our supplier
TOP
Learn Faster, Perform Better: A Musician's Guide to the Neuroscience of Practicing
-20% with code BOOKS
In stock at our supplier
TOP
The Brain That Changes Itself: Stories of Personal Triumph from the Frontiers of Brain Science
-20% with code BOOKS
In stock at our supplier
TOP
How to Solve it: A New Aspect of Mathematical Method
-20% with code BOOKS
In stock at our supplier
Description
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.
More Information
| Author | Nadia Ansini, Roberto Alicandro, Andrea Braides, Antonio Tribuzio, Andrey Piatnitski |
|---|---|
| Publisher | Springer Nature Singapore |
| Release year | 2023 |
| Cover type | Softcover |
| EAN | 9789819906840 |