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Nonlocal and nonlinear diffusions and interactions: new methods and directions / Jose Antonio Carrillo...[et al.].

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2186.Publication details: Cham : Springer, 2017.Description: ix, 278 pages : illustrations (some color) ; 24 cmISBN:
  • 9783319614939 (alk. paper)
Subject(s): DDC classification:
  • 515.353 23 C397
Contents:
1. The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime -- 2. Bubbling blow-up in critical parabolic problems -- 3. Regularity theory for local and nonlocal minimal surfaces: an overview -- 4. Short tales from nonlinear Calderon-Zygmund theory -- 5. The mathematical theories of diffusion: nonlinear and fractional diffusion.
Summary: This book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.353 C397 (Browse shelf(Opens below)) Available 138238
Total holds: 0

Include bibliographical references.

1. The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime --
2. Bubbling blow-up in critical parabolic problems --
3. Regularity theory for local and nonlocal minimal surfaces: an overview --
4. Short tales from nonlinear Calderon-Zygmund theory --
5. The mathematical theories of diffusion: nonlinear and fractional diffusion.

This book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field.

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