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Similar entropy solutions of a singular diffusion equation

✍ Scribed by Chunpeng Wang; Jingxue Yin; Zejia Wang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
492 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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