Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 164-186 |
Journal / Publication | Journal of Mathematical Analysis and Applications |
Volume | 220 |
Issue number | 1 |
Publication status | Published - 1 Apr 1998 |
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Abstract
In this paper, we study the strong convergence of a sequence of uniformLp
loc(R×R+) bounded approximate solutions {uε(x,t)} to the following scalar conservation laws[formula]with initial data[formula]Without the convexity assumption and growth condition at infinity forf(x,t,u), we prove strong convergence of a subsequence of {uε(x,t)}. Under a more general growth condition than those in the previous work, we prove the existence of weak solution for the equation. The result obtained here generalizes those in earlier work. Some applications of the results are also given at the end of this paper. © 1998 Academic Press.
Citation Format(s)
Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws. / Yang, Tong; Zhu, Changjiang; Zhao, Huijiang.
In: Journal of Mathematical Analysis and Applications, Vol. 220, No. 1, 01.04.1998, p. 164-186.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review