Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

Matteo Bonforte, Gabriele Grillo (Herausgeber)

José Antonio Carrillo, Manuel del Pino, Alessio Figalli, Giuseppe Mingione, Juan Luis Vázquez (Autoren)

Buch | Softcover

IX, 280 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-61493-9 (ISBN)

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Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, 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.

Vincent Calvez, José Antonio Carrillo, and Franca Hoffmann The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime.- Manuel del Pino: Bubbling blow-up in critical parabolic problems.- Matteo Cozzi and Alessio Figalli: Regularity theory for local and nonlocal minimal surfaces: an overview.- Giuseppe Mingione: Short Tales from Nonlinear Calderón-Zygmund Theory.- Juan Luis Vazquez: The mathematical theories of diffusion: Nonlinear and fractional diffusion.

Erscheinungsdatum	06.10.2017
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	IX, 280 p. 29 illus., 24 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	445 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	aggregation-diffusion equations • Bubbling blow-up • Differential calculus & equations • Differential calculus & equations • Functional Analysis • Functional analysis & transforms • Functional analysis & transforms • Keller-Segel model of chemotaxis • Local and nonlocal minimal surfaces • Mathematical Applications in the Physical Sciences • Mathematical Modelling • Mathematics • mathematics and statistics • Nonlinear evolutions • Nonlinear Potential Theory • Nonlocal evolutions • Partial differential equations
ISBN-10	3-319-61493-2 / 3319614932
ISBN-13	978-3-319-61493-9 / 9783319614939
Zustand	Neuware