书目名称 | Motion of a Drop in an Incompressible Fluid |
编辑 | I. V. Denisova,V. A. Solonnikov |
视频video | |
概述 | Features proofs from leading researchers in the mathematical analysis of fluids, including a global-in-time solution to the problem of the motion of a drop in a liquid medium in a container for small |
丛书名称 | Advances in Mathematical Fluid Mechanics |
图书封面 |  |
描述 | .This mathematical monograph details the authors‘ results on solutions to problems governing the simultaneous motion of two incompressible fluids. Featuring a thorough investigation of the unsteady motion of one fluid in another, researchers will find this to be a valuable resource when studying non-coercive problems to which standard techniques cannot be applied. As authorities in the area, the authors offer valuable insight into this area of research, which they have helped pioneer. This volume will offer pathways to further research for those interested in the active field of free boundary problems in fluid mechanics, and specifically the two-phase problem for the Navier-Stokes equations...The authors’ main focus is on the evolution of an isolated mass with and without surface tension on the free interface. Using the Lagrange and Hanzawa transformations, local well-posedness in the Hölder and Sobolev–Slobodeckij on .L.2 .spaces is proven as well. Globalwell-posedness for small data is also proven, as is the well-posedness and stability of the motion of two phase fluid in a bounded domain...Motion of a Drop in an Incompressible Fluid. will appeal to researchers and graduate stud |
出版日期 | Book 2021 |
关键词 | Free boundary problems; Boundary value problems; Viscous incompressible fluids; Two-phase fluid; Interfa |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-70053-9 |
isbn_softcover | 978-3-030-70052-2 |
isbn_ebook | 978-3-030-70053-9Series ISSN 2297-0320 Series E-ISSN 2297-0339 |
issn_series | 2297-0320 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |