The Green Tensor of the Nonstationary Stokes System in the Half Space-Reference-Cited by-同舟云学术

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The Green Tensor of the Nonstationary Stokes System in the Half Space

Published:2023-01-23 Issue:2 Volume:399 Page:1291-1372
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Kang Kyungkeun,Lai Baishun,Lai Chen-Chih,Tsai Tai-Peng

Funder

National Research Foundation of Korea

National Natural Science Foundation of China

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00220-022-04623-3.pdf

Reference57 articles.

1. Bae, H.-O., Jin, B.J.: Existence of strong mild solution of the Navier–Stokes equations in the half space with nondecaying initial data. J. Korean Math. Soc. 49(1), 113–138 (2012)

2. Brandolese, L.: Weighted $$L^2$$-spaces and strong solutions of the Navier–Stokes equations in $${\mathbb{R}}^3$$. In: Trends in Partial Differential Equations of Mathematical Physics, Volume 61 of Progress in Nonlinear Differential Equations and Their Applications, pp. 27–35. Birkhäuser, Basel (2005)

3. Cannone, M., Planchon, F., Schonbek, M.: Strong solutions to the incompressible Navier–Stokes equations in the half-space. Commun. Partial Differ. Equ. 25(5–6), 903–924 (2000)

4. Chang, T., Jin, B.J.: Notes on the space-time decay rate of the Stokes flows in the half space. J. Differ. Equ. 263(1), 240–263 (2017)

5. Chang, T., Jin, B.J.: Pointwise decay estimate of Navier–Stokes flows in the half space with slowly decreasing initial value. Nonlinear Anal. 157, 167–188 (2017)

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