The main purpose of this paper is to discuss the existence and asymptotic behavior of solutions forand for which the sufficient conditions of asymptotic behavio
The existence of generalized solution to the initial value problem iu<sub>t</sub>+△u+k/(x<sub>N</sub>)u<sub>X</sub><sub>N</sub>+q(x)u+|u|<sup>p-1</sup>u=0 on R<sup
§ 1. Introduction Fluid flow in a pipe is usually modeled by the quasilinear hyperbolic system where ρ is mass density, G is momentum density, p=p(ρ) is