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APPML
2010
88views more  APPML 2010»
13 years 5 months ago
Evolution of weak discontinuities in shallow water equations
In this paper, we determine the critical time, when a weak discontinuity in the shallow water equations culminates into a bore. Invariance group properties of the governing system...
T. Raja Sekhar, V. D. Sharma
APPML
2010
89views more  APPML 2010»
13 years 5 months ago
An independent dominating set in the complement of a minimum dominating set of a tree
We prove that for every tree T of order at least 2 and every minimum dominating set D of T which contains at most one endvertex of T, there is an independent dominating set I of T...
Michael A. Henning, Christian Löwenstein, Die...
APPML
2010
133views more  APPML 2010»
13 years 5 months ago
Fractional relaxation equations on Banach spaces
Abstract. We study existence and qualitative properties of solutions for the abstract fractional relaxation equation (0.1) u (t) - AD t u(t) + u(t) = f(t), 0 < < 1, t 0, u(...
Carlos Lizama, Humberto Prado