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Asymptotic Behaviors of the Solutions to Scalar Viscous Conservation Laws on Bounded Interval

✍ Scribed by Quansen Jiu*; Tao Pan**

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2003
Tongue
English
Weight
175 KB
Volume
19
Category
Article
ISSN
0168-9673

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πŸ“œ SIMILAR VOLUMES

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This paper is concerned with the asymptotic behaviors of the solutions to the initialboundary value problem for scalar viscous conservations laws ut + f(u), = uzz on [0, 11, with the boundary condition u(O,t) = u\_(t) -+ u\_, u(l,t) = u+(t) + u+, as t --t +m and the initial data u(z,O) = uo(z) satis

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We study the structure and smoothness of non-homogeneous convex conservation laws. The question regarding the number of smoothness pieces is addressed. It is shown that under certain conditions on the initial data the entropy solution has only a finite number of discontinuous curves. We also obtain