| 书目名称 | The Large Flux Problem to the Navier-Stokes Equations | | 副标题 | Global Strong Soluti | | 编辑 | Joanna Rencławowicz,Wojciech M. Zajączkowski | | 视频video | | | 概述 | Considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow.Proves global existence of regular solutions without any restrictions on the magnit | | 丛书名称 | Advances in Mathematical Fluid Mechanics | | 图书封面 |  | | 描述 | This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics. | | 出版日期 | Book 2019 | | 关键词 | Incompressible Navier-Stokes equations; Incompressible fluid large inflow outflow; Global regular solu | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-32330-1 | | isbn_softcover | 978-3-030-32329-5 | | isbn_ebook | 978-3-030-32330-1Series ISSN 2297-0320 Series E-ISSN 2297-0339 | | issn_series | 2297-0320 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 18:06:35
