Strong solvability of the Stokes and Navier-Stokes equations in weak $L^{n}$ space (The structure of function spaces and its environment)

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  • Strong solvability of the Stokes and Navier-Stokes equations in weak Lⁿ space

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In this résumé we investigate the strong soluvability of the Stokes and the Navier Stokes equations in weak L^{n}-space, where the Stokes semigroup is analytic but not strongly continuous at t=0. More precisely, the local in time strong solvability is concerned. To construct a strong solution of the Naiver-Stokes equations in weak L^{n}-space, we clarify the condition on the external forces, which is inherited from the strong solvability of the inhomogeneous Stokes equations. This résumé is based on the joint work with Professor Yohei Tsutsui.

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  • RIMS Kokyuroku

    RIMS Kokyuroku 2041 105-111, 2017-07

    京都大学数理解析研究所

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