I. V. Denisova,V. A. Solonnikov
Motion of a Drop in an Incompressible Fluid
Motion of a Drop in an Incompressible Fluid
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This mathematical monograph explores the solutions to problems governing the simultaneous motion of two incompressible fluids, offering valuable insight into non-coercive problems. It focuses on the evolution of an isolated mass and proves local well-posedness in Hölder and Sobolev–Slobodeckij spaces. Global well-posedness and stability of the motion are also demonstrated.
Format: Paperback / softback
Length: 316 pages
Publication date: 21 September 2021
Publisher: Springer Nature Switzerland AG
This comprehensive mathematical monograph delves into the authors groundbreaking findings on solutions to problems governing the simultaneous motion of two incompressible fluids. With a thorough exploration of the unsteady motion of one fluid within another, researchers will find this resource invaluable in studying non-coercive problems that traditional techniques cannot address. As esteemed authorities in this field, the authors provide invaluable insights, having played a pioneering role in its development. This volume serves as a valuable gateway to further research for those interested in the dynamic realm of free boundary problems in fluid mechanics, particularly in the two-phase problem for the Navier-Stokes equations.
The authors primary focus lies in the study of the evolution of an isolated mass, both with and without surface tension, at the free interface. Employing the Lagrange and Hanzawa transformations, they establish local well-posedness in the Hölder and Sobolev–Slobodeckij spaces on L2. Furthermore, they demonstrate global well-posedness for small data, as well as the well-posedness and stability of the motion of two-phase fluid within a bounded domain.
Motion of a Drop in an Incompressible Fluid will captivate researchers and graduate students engaged in the fields of mathematical hydrodynamics, the analysis of partial differential equations, and related subjects.
Weight: 498g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030700522
Edition number: 1st ed. 2021
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