We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1) <img border=0 width=600 height=99 src="http://fbpe/img/cubo/v12n1/art05-01.jpg" > We prove that if the initial data <img src="http:/fbpe/img/cubo/v12n1/img1.jpg" width="80" height="24"> , then there exists a unique solution <img src="http:/fbpe/img/cubo/v12n1/img2.jpg" width="150" height="23"> <img src="http:/fbpe/img/cubo/v12n1/img3.jpg" width="150" height="24"> &cup;f the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to <img src="http:/fbpe/img/cubo/v12n1/img4.jpg" width="150" height="17">