Advanced Studies in Pure Mathematics

Models of a sudden directional diffusion

Piotr Bogusław Mucha and Piotr Rybka

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We study degenerate and singular parabolic equations in one space dimension. The emphasis is put on the regularity of solutions and the creation as well as the evolution of facets. Facets are understood as flat parts of the graph of solutions being a result of extremely high singularity. The systems, which we consider, arise from the theory of crystals.

Article information

Source
Variational Methods for Evolving Objects, L. Ambrosio, Y. Giga, P. Rybka and Y. Tonegawa, eds. (Tokyo: Mathematical Society of Japan, 2015), 225-244

Dates
Received: 13 March 2013
Revised: 4 September 2013
First available in Project Euclid: 19 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1539916038

Digital Object Identifier
doi:10.2969/aspm/06710225

Mathematical Reviews number (MathSciNet)
MR3587452

Zentralblatt MATH identifier
1365.35084

Subjects
Primary: 35B65: Smoothness and regularity of solutions 35K67: Singular parabolic equations

Keywords
Anisotropy parabolic systems sudden directional diffusion facets

Citation

Mucha, Piotr Bogusław; Rybka, Piotr. Models of a sudden directional diffusion. Variational Methods for Evolving Objects, 225--244, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06710225. https://projecteuclid.org/euclid.aspm/1539916038


Export citation