Caboussat, A.Rappaz, J.2006-08-242006-08-242006-08-24200510.1007/s00211-005-0619-0https://infoscience.epfl.ch/handle/20.500.14299/233739WOS:0002303470000037050A one-dimensional free surface problem is considered. It consists in Burgers' equation with an additional diffusion term on a moving interval. The well-posedness of the problem is investigated and existence and uniqueness results are obtained locally in time. A semi-discretization in space with a piecewise linear finite element method is considered. A priori and a posteriori error estimates are given for the semi-discretization in space. A time splitting scheme allows to obtain numerical results in agreement with the theoretical investigations.FLUID-STRUCTURE INTERACTIONBURGERS-EQUATIONtext::journal::journal article::research article