On a Resolvent Estimate of the Stokes Equation on an Infinite Layer Part 2, λ=: 0 Case |
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| Authors: | T. Abe Y. Shibata |
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| Affiliation: | Department of Mathematical Sciences, School of Science and Engineering, Waseda University, Ohkubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan. E-mail: abe@ruri.waseda.jp, JP
Advanced Research Institute for Science and Engineering, Waseda University, Department of Mathematical Sciences, School of Science and Engineering, Waseda University, Ohkubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan. E-mail: yshibata@waseda.jp, JP
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| Abstract: | This paper is concerned with the standard Lp L_p estimate of solutions to the Stokes resolvent problem on an infinite layer in the case where 5 is close to zero (see eq.(1.1)). Combining this result with that in [1], we find that the Stokes operator on an infinite layer generates an analytic semigroup. As an application, we prove the local stability of some steady flows. |
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