國立虎尾科技大學 |

Motion of a Drop in an Incompressible Fluid

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Motion of a Drop in an Incompressible Fluid/ by I. V. Denisova, V. A. Solonnikov.
作者:	Denisova, I. V.
其他作者:	Solonnikov, V. A.
面頁冊數:	VII, 316 p. 208 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Classical and Continuum Physics. -
電子資源:	https://doi.org/10.1007/978-3-030-70053-9
ISBN:	9783030700539

Motion of a Drop in an Incompressible Fluid
Denisova, I. V.

Motion of a Drop in an Incompressible Fluid[electronic resource] /by I. V. Denisova, V. A. Solonnikov. - 1st ed. 2021. - VII, 316 p. 208 illus., 2 illus. in color.online resource. - Lecture Notes in Mathematical Fluid Mechanics,2510-1382. - Lecture Notes in Mathematical Fluid Mechanics,.

Introduction -- A Model Problem with Plane Interface and with Positive Surface Tension Coefficient -- The Model Problem Without Surface Tension Forces -- A Linear Problem with Closed Interface Under Nonnegative Surface Tension -- Local Solvability of the Problem in Weighted Hölder Spaces -- Global Solvability in the Hölder Spaces for the Nonlinear Problem without Surface Tension -- Global Solvability of the Problem Including Capillary Forces. Case of the Hölder Spaces -- Thermocapillary Convection Problem -- Motion of Two Fluids in the Oberbeck - Boussinesq Approximation -- Local L2-solvability of the Problem with Nonnegative Coefficient of Surface Tension -- Global L2-solvability of the Problem without Surface Tension -- L2-Theory for Two-Phase Capillary Fluid.

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. 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.

ISBN: 9783030700539

Standard No.: 10.1007/978-3-030-70053-9doiSubjects--Topical Terms:

1141497
Classical and Continuum Physics.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Motion of a Drop in an Incompressible Fluid
LDR:03500nam a22003975i 4500 001 1049271
003 DE-He213
005 20210920190747.0
007 cr nn 008mamaa
008 220103s2021 sz | s |||| 0|eng d
020 $a 9783030700539 $9 978-3-030-70053-9
024 7 $a 10.1007/978-3-030-70053-9 $2 doi
035 $a 978-3-030-70053-9
050 4 $a QA319-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
100 1 $a Denisova, I. V. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1353357
245 1 0 $a Motion of a Drop in an Incompressible Fluid $h [electronic resource] / $c by I. V. Denisova, V. A. Solonnikov.
250 $a 1st ed. 2021.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2021.
300 $a VII, 316 p. 208 illus., 2 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Lecture Notes in Mathematical Fluid Mechanics, $x 2510-1382
505 0 $a Introduction -- A Model Problem with Plane Interface and with Positive Surface Tension Coefficient -- The Model Problem Without Surface Tension Forces -- A Linear Problem with Closed Interface Under Nonnegative Surface Tension -- Local Solvability of the Problem in Weighted Hölder Spaces -- Global Solvability in the Hölder Spaces for the Nonlinear Problem without Surface Tension -- Global Solvability of the Problem Including Capillary Forces. Case of the Hölder Spaces -- Thermocapillary Convection Problem -- Motion of Two Fluids in the Oberbeck - Boussinesq Approximation -- Local L2-solvability of the Problem with Nonnegative Coefficient of Surface Tension -- Global L2-solvability of the Problem without Surface Tension -- L2-Theory for Two-Phase Capillary Fluid.
520 $a 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. 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.
650 2 4 $a Classical and Continuum Physics. $3 1141497
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Analysis. $3 669490
650 1 4 $a Functional Analysis. $3 672166
650 0 $a Continuum physics. $3 1255031
650 0 $a Physics. $3 564049
650 0 $a Analysis (Mathematics). $3 1253570
650 0 $a Mathematical analysis. $3 527926
650 0 $a Functional analysis. $3 527706
700 1 $a Solonnikov, V. A. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1353358
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030700522
776 0 8 $i Printed edition: $z 9783030700546
830 0 $a Lecture Notes in Mathematical Fluid Mechanics, $x 2510-1374 $3 1273683
856 4 0 $u https://doi.org/10.1007/978-3-030-70053-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)