Existence and Uniqueness of Weak Solutions to the Two-Dimensional Stationary Navier–Stokes Exterior Problem

*この研究の対応する著者

3 被引用数 (Scopus)

抄録

This paper is concerned with the stationary Navier–Stokes equation in two-dimensional exterior domains with external forces and inhomogeneous boundary conditions, and shows the existence of weak solutions. This solution enjoys a new energy inequality, provided the total flux is bounded by an absolute constant. It is also shown that, under the symmetry condition, the weak solutions tend to 0 at infinity. This paper also provides two criteria for the uniqueness of weak solutions under the assumption on the existence of one small solution which vanishes at infinity. In these criteria the aforementioned energy inequality plays a crucial role.

本文言語 English 2019-2051 33 Journal of Mathematical Fluid Mechanics 20 4 https://doi.org/10.1007/s00021-018-0397-y Published - 2018 12 1

• 数理物理学
• 凝縮系物理学
• 計算数学
• 応用数学

フィンガープリント

「Existence and Uniqueness of Weak Solutions to the Two-Dimensional Stationary Navier–Stokes Exterior Problem」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。