Article ID Journal Published Year Pages File Type
9662434 Computers & Mathematics with Applications 2005 10 Pages PDF
Abstract
In this paper, we study the similar entropy solutions of the singular diffusion equation, ∂u∂t=∂∂xψ(∂u∂x), with ψ(s)=s/1+s2. 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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Physical Sciences and Engineering Computer Science Computer Science (General)
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Similar entropy solutions of a singular diffusion equation
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