Geometric Partial Differential Equations
Langue : Anglais
Auteur : CHAMBOLLE Antonin
This book is the outcome of a conference held at the Centro De Giorgi of
the Scuola Normale of Pisa in September 2012. The aim of the conference
was to discuss recent results on nonlinear partial differential equations,
and more specifically geometric evolutions and reaction-diffusion
equations. Particular attention was paid to self-similar solutions, such
as solitons and travelling waves, asymptotic behaviour, formation of
singularities and qualitative properties of solutions. These problems
arise in many models from Physics, Biology, Image Processing and Applied
Mathematics in general, and have attracted a lot of attention in recent
years.
N. Alikakos: On the structure of phase transition maps for three or more
coexisting phases.- S. Amato, G. Bellettini, M. Paolini: The nonlinear
multidomain model: a new formal asymptotic analysis.- A. Chambolle, M.
Goldman, M. Novaga: Existence and qualitative properties of isoperimetric
sets in periodic media.- A. Chambolle, M. Morini, M. Ponsiglione:
Minimizing movements and level set approach to geometric flow of nonlocal
perimeters.- S. Choi, I. Kim: Homogenization with oscillatory Neumann
boundary data in general domain.- D. Christodoulou: The Analysis of Shock
Formation in 3-Dimensional Fluids.- L. Dupaigne, A. Farina, B. Sirakov:
Regularity of the extremal solutions for the Liouville system.- M.-H.
Giga, Y. Giga, A. Nakayasu: On general existence results for
one-dimensional singular diffusion equations with spatially inhomogeneous
driving force.- Y. Giga, G. Pisante: On representation of boundary
integrals involving the mean curvature for mean-convex domains.- A.
Lemenant, Y. Sire: Elliptic problem in nonsmooth domain, Reifenberg-flat
domains, Regularity.- A. Pisante: Maximally localized wannier functions:
existence and exponential localization.- A. Stancu: Flows by powers of
centro-affine curvature.
Presentation of selected topics of current research in geometric partial differential equations
Authors are recognized international experts
Date de parution : 10-2013
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 29,54 €
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