Content area
Abstract
We establish the global existence of solutions to a class of differential equations of the form: [special characters omitted] inspired by a system first solved by Choi, Groulx, and Lui in [1]. Here [special characters omitted] and [special characters omitted] are positive constants. In the first case we will consider value of q > 1 with w(x, 0) = b 0 > 0. In the second case we set q = 1, but w(x, 0) > 0 and non-constant so that a coupled hyperbolic-parabolic has to be studied.