Motion of a Drop in an Incompressible Fluid
«“The book provides a profound introduction into recent developments of the mathematical theory of incompressible two-phase flows and outlines multitude of contributions by two outstanding experts in this field.” (Thomas Eiter, zbMATH 1511.76002, 2023)»
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. Les mer
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 Hoelder and Sobolev-Slobodeckij on L2 spaces is proven as well. Global well-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 students working in the fields of mathematical hydrodynamics, the analysis of partial differential equations, and related topics.
Detaljer
- Forlag
- Springer Nature Switzerland AG
- Innbinding
- Paperback
- Språk
- Engelsk
- Sider
- 316
- ISBN
- 9783030700522
- Utgivelsesår
- 2021
- Originaltittel
- Dvizhenie kapli v neszhimaemoy zhidkosti: monografiya
- Format
- 24 x 16 cm
Anmeldelser
«“The book provides a profound introduction into recent developments of the mathematical theory of incompressible two-phase flows and outlines multitude of contributions by two outstanding experts in this field.” (Thomas Eiter, zbMATH 1511.76002, 2023)»