Nonlocal Diffusion and Applications

Released on by Claudia Bucur
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  • Nonlocal Diffusion and Applications Book Detail

  • Author : Claudia Bucur
  • Release Date : 2016-04-08
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 165
  • ISBN 13 : 3319287397
  • File Size : 6,6 MB
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Nonlocal Diffusion and Applications by Claudia Bucur PDF Summary

Book Description: Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance.

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Nonlocal Diffusion and Applications

Nonlocal Diffusion and Applications

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Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilist

Nonlocal Diffusion Problems

Nonlocal Diffusion Problems

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Nonlocal diffusion problems arise in a wide variety of applications, including biology, image processing, particle systems, coagulation models, and mathematical