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• W4383815299 abstract "In the present paper, we propose a local discontinuous Galerkin approximation for fully nonhomogeneous systems of -Navier–Stokes type. On the basis of the primal formulation, we prove well-posedness, stability (a priori estimates), and weak convergence of the method. To this end, we propose a new discontinuous Galerkin discretization of the convective term and develop an abstract nonconforming theory of pseudomonotonicity, which is applied to our problem. We also use our approach to treat the -Stokes problem." @default.
• W4383815299 created "2023-07-11" @default.
• W4383815299 creator A5027944157 @default.
• W4383815299 creator A5071740124 @default.
• W4383815299 date "2023-07-10" @default.
• W4383815299 modified "2023-09-26" @default.
• W4383815299 title "A Local Discontinuous Galerkin Approximation for the <i>p</i>-Navier–Stokes System, Part I: Convergence Analysis" @default.
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• W4383815299 doi "https://doi.org/10.1137/22m151474x" @default.
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