Geodesic
Weighted analogue of LBB conditions for solving the Stokes problem with model boundary conditions in a domain with singularity
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 91-99

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The concept of a $R_{\nu}$-generalized solution for the Stokes problem with model boundary conditions in a domain with a corner singularity is defined in the paper. Weighted analogue of the Ladyzhenskaya–Babuska–Brezzi conditions in a domain with a re-entrant corner is proven.
Keywords: corner singularity, Stokes problem with model boundary conditions, $R_{\nu}$-generalized solution. 
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     author = {Alexey V. Rukavishnikov},
     title = {Weighted analogue of {LBB} conditions for solving the {Stokes} problem with model boundary conditions in a domain with singularity},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {91--99},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2025_18_1_a9/}
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Alexey V. Rukavishnikov. Weighted analogue of LBB conditions for solving the Stokes problem with model boundary conditions in a domain with singularity. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 91-99. http://geodesic.mathdoc.fr/item/JSFU_2025_18_1_a9/