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On Nonstationary Stokes Problem and Navier–Stokes Problem in a Half-Space with Initial Data Nondecreasing at Infinity

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Abstract

We prove the solvability of the Stokes problem and the local (in time) solvability of the Navier–Stokes problem in the half-space under the condition that the initial velocity is only bounded and continuous. The proof is based on estimates for the entries of the Green matrix for the Stokes problem. Bibliography: 8 titles.

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References

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Authors
  1. V. A. Solonnikov
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Solonnikov, V.A. On Nonstationary Stokes Problem and Navier–Stokes Problem in a Half-Space with Initial Data Nondecreasing at Infinity. Journal of Mathematical Sciences 114, 1726–1740 (2003). https://doi.org/10.1023/A:1022317029111

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  • DOI: https://doi.org/10.1023/A:1022317029111

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