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APPML
2010
88views more  APPML 2010»
13 years 10 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
133views more  APPML 2010»
13 years 10 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
APPML
2010
92views more  APPML 2010»
13 years 10 months ago
Label structured cell proliferation models
We present a general class of cell population models that can be used to track the proliferation of cells which have been labeled with a fluorescent dye. The mathematical models e...
H. T. Banks, Frédérique Charles, Mar...