MOTION OF A DROP IN AN INCOMPRESSIBLE FLUID
Language: English
Published by Birkhäuser, 2021
Series: Book 20 of 21 - Advances in Mathematical Fluid Mechanics
- Softcover
- New
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- Title
- MOTION OF A DROP IN AN INCOMPRESSIBLE FLUID
- Author
- Denisova, I. V.; Solonnikov, V. A.
- Publisher
- Birkhäuser
- Publication year
- 2021
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3030700526
- ISBN 13
- 9783030700522
- Series
- Book 20 of 21: Advances in Mathematical Fluid Mechanics
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 L2 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 students working in the fields of mathematical hydrodynamics, the analysis of partial differential equations, and related topics.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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