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Large time behaviour of solutions of a singular diffusion equation in

โœ Scribed by Shu-Yu Hsu


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
215 KB
Volume
62
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Behaviour of solutions of a singular dif
โœ Shu-Yu Hsu ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 521 KB

We prove that if ยฟ 2 and 0 6 u0 โˆˆ L 1 (R 2 ) โˆฉ L p (R 2 ) for some constant p ยฟ 1 is a radially symmetric function, u0 โ‰ก 0, and u is the unique solution of the equation ut and rur(x; t)=u(x; t) โ†’ -uniformly on [a; b] as r = |x| โ†’ โˆž for any 0 ยก a ยก b ยก T where T = R 2 u0 d x=2 , then there exist uni

BV solutions of a singular diffusion equ
โœ J. X. Yin; H. L. Li; P. Y. H. Pang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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
โœ Chunpeng Wang; Jingxue Yin; Zejia Wang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.