Infoscience

Journal article

Analysis of a one-dimensional free boundary flow problem

A 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.

    Keywords: FLUID-STRUCTURE INTERACTION ; BURGERS-EQUATION

    Note:

    Univ Houston, Dept Math, Houston, TX 77204 USA. Ecole Polytech Fed Lausanne, Fac Sci Base, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland. Caboussat, A, Univ Houston, Dept Math, 4800 Calhoun Rd, Houston, TX 77204 USA. caboussat@math.uh.edu jacques.rappaz@epfl.ch

    ISI Document Delivery No.: 943IN

    Times Cited: 0

    Cited Reference Count: 16

    Reference

    Record created on 2006-08-24, modified on 2016-08-08

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