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Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System

Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System

In the first part of this paper, uniqueness of strong solution is established for the Vlasov-unsteady Stokes problem in 3D. The second part deals with a semi discrete scheme, which is based on the coupling of discontinuous Galerkin approximations for the Vlasov and the Stokes equations for the 2D problem. …