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APPML
2010
88views more  APPML 2010»
13 years 11 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 11 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 11 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