Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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UNSTEADY FLOW OF BINGHAM FLUID IN A TWO DIMENSIONAL ELASTIC DOMAIN

  • Mosbah Kaddour (Department of Mathematics Mohamed Boudiaf University) ;
  • Farid Messelmi (Department of Mathematics and LDMM Laboratory Ziane Achour University) ;
  • Saf Salim (Department of technical sciences Laboratory of Pure and Applied Mathematics Amar Telidji University)
  • Received : 2021.12.20
  • Accepted : 2023.12.05
  • Published : 2024.04.30
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Abstract

The main goal of this work is to study an initial boundary value problem relating to the unsteady flow of a rigid, viscoplastic, and incompressible Bingham fluid in an elastic bounded domain of ℝ2. By using the approximation sequences of the Faedo-Galerkin method together with the regularization techniques, we obtain the results of the existence and uniqueness of local solutions.

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References

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