Strong Maximal Lq - Lp - estimates for the Solution of the Stokes Equation

Authors

  • Maoting Tong Department of Mathematical Science, The University of Liverpool, U.K., Public Basic Department，Nanjing Vocational University of Industry Technology， Nanjing, China

DOI:

https://doi.org/10.14738/tecs.111.13785

Keywords:

Navier-Stokes equation, Existence and uniqueness, Global solution, Semigroup of operators, Invariance, Banach lattice, Fractional powers

Abstract

Suppose that W is a bounded domain in R3 with smooth boundary ¶W of class C3. In this paper we prove that if the initial value u0 ÎD((-D)1/2 ), then there are strong maximal Lq - Lp -estimates for the solution of the Stokes equation (1) for any 1<q<¥，2 £ p<¥. Mathematics Subject Classification (2010). Primary 35Q30, 76D07; Secondary76N10, 47D06.

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Published

2023-02-24

How to Cite

Tong, M. (2023). Strong Maximal Lq - Lp - estimates for the Solution of the Stokes Equation. Transactions on Engineering and Computing Sciences, 11(1), 132–142. https://doi.org/10.14738/tecs.111.13785

Issue

Vol. 11 No. 1 (2023): Transactions on Engineering and Computing Sciences

Section

Articles

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Copyright (c) 2023 Maoting Tong

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This work is licensed under a Creative Commons Attribution 4.0 International License.