{ "id": "2302.02726", "version": "v1", "published": "2023-02-06T12:08:02.000Z", "updated": "2023-02-06T12:08:02.000Z", "title": "Uniform stabilization of an acoustic system", "authors": [ "Kaïs Ammari", "Fathi Hassine", "Luc Robbiano" ], "comment": "arXiv admin note: text overlap with arXiv:2110.05986", "categories": [ "math.AP", "math.DS" ], "abstract": "We study the problem of stabilization for the acoustic system with a spatially distributed damping. With imposing hypothesis on the structural properties of the damping term, we identify exponential decay of solutions with growing time.", "revisions": [ { "version": "v1", "updated": "2023-02-06T12:08:02.000Z" } ], "analyses": { "subjects": [ "35L04", "37L15" ], "keywords": [ "acoustic system", "uniform stabilization", "identify exponential decay", "structural properties", "imposing hypothesis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }