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...
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(...
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...