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On solutions of a singular diffusion equation

✍ Scribed by Keng Deng; Mingxi Xu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
101 KB
Volume
41
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

BV solutions of a singular diffusion equ
BV solutions of a singular diffusion equation
✍ J. X. Yin; H. L. Li; P. Y. H. Pang πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 183 KB

## Abstract In this paper, we study discontinuous solutions of a partial differential equation of strongly degenerate parabolic type. A notion of weak solutions of __BV__ class is proposed, and existence and uniqueness results are obtained.

Similar entropy solutions of a singular
Similar entropy solutions of a singular diffusion equation
✍ Chunpeng Wang; Jingxue Yin; Zejia Wang πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 492 KB

In this paper, we study the similar entropy solutions of the singular diffusion equation, ## Ou O f Ou \ at -~ with ~b(s) = s/~i'-'+~. These kinds of solutions have nonvertical jump lines. We establish the existence and uniqueness and also discuss some properties of these kinds of solutions.

Asymptotic profile of solutions of a sin
Asymptotic profile of solutions of a singular diffusion equation as tβ†’βˆž
✍ Shu-Yu Hsu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 97 KB

u(x; 0) = u 0 (x) βˆ€x ∈ R 2 (0.1) which arises naturally in many situations. Lions and Toscani [19] have shown that (0.1) arises as the singular limit for ΓΏnite velocity Boltzmann kinetic models and Kurtz [17] have shown that it arises as the limiting density distribution of two gases moving against