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Logarithmic Stabilization of an Acoustic System with a Damping Term of Brinkman Type

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  • Additional Information
    • Contributors:
      Laboratoire de Mathématiques de Versailles (LMV); Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS); Université de Monastir - University of Monastir (UM)
    • Publication Information:
      HAL CCSD
      Society for Industrial and Applied Mathematics
    • Publication Date:
      2023
    • Collection:
      Université de Versailles Saint-Quentin-en-Yvelines: HAL-UVSQ
    • Abstract:
      International audience ; We study the problem of stabilization for the acoustic system with a spatially distributed damping. Without imposing any hypotheses on the structural properties of the damping term, we identify logarithmic decay of solutions with growing time. Logarithmic decay rate is shown through a new Carleman estimate which allows us to carry out a special analysis for the resolvent. Copyright
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2004.10669; hal-04122798; https://hal.science/hal-04122798; https://hal.science/hal-04122798/document; https://hal.science/hal-04122798/file/2004.10669.pdf; ARXIV: 2004.10669
    • Accession Number:
      10.1137/21M1430674
    • Online Access:
      https://doi.org/10.1137/21M1430674
      https://hal.science/hal-04122798
      https://hal.science/hal-04122798/document
      https://hal.science/hal-04122798/file/2004.10669.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.E41E1236