國立虎尾科技大學 |

Moving Interfaces and Quasilinear Parabolic Evolution Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Moving Interfaces and Quasilinear Parabolic Evolution Equations/ by Jan Prüss, Gieri Simonett.
作者:	Prüss, Jan.
其他作者:	Simonett, Gieri.
面頁冊數:	XIX, 609 p. 7 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-27698-4
ISBN:	9783319276984

Moving Interfaces and Quasilinear Parabolic Evolution Equations
Prüss, Jan.

Moving Interfaces and Quasilinear Parabolic Evolution Equations[electronic resource] /by Jan Prüss, Gieri Simonett. - 1st ed. 2016. - XIX, 609 p. 7 illus.online resource. - Monographs in Mathematics,1051017-0480 ;. - Monographs in Mathematics,105.

Preface -- Basic Notations -- General References -- Part I Background -- 1Problems and Strategies -- 2.Tools from Differential Geometry -- Part II Abstract Theory -- 3Operator Theory and Semigroups -- 4.Vector-Valued Harmonic Analysis -- 5.Quasilinear Parabolic Evolution Equations -- Part III Linear Theory -- 6.Elliptic and Parabolic Problems -- 7.Generalized Stokes Problems -- 8.Two-Phase Stokes Problems -- Part IV Nonlinear Problems -- 9.Local Well-Posedness and Regularity -- 10.Linear Stability of Equilibria -- 11.Qualitative Behaviour of the Semiows -- 12.Further Parabolic Evolution Problems -- Biographical Comments -- Outlook and Future Challenges -- References -- List of Figures -- List of Symbols -- Subject Index.

In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis. The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

ISBN: 9783319276984

Standard No.: 10.1007/978-3-319-27698-4doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Moving Interfaces and Quasilinear Parabolic Evolution Equations
LDR:03243nam a22004095i 4500 001 978349
003 DE-He213
005 20200629220252.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319276984 $9 978-3-319-27698-4
024 7 $a 10.1007/978-3-319-27698-4 $2 doi
035 $a 978-3-319-27698-4
050 4 $a QA370-380
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
100 1 $a Prüss, Jan. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1271845
245 1 0 $a Moving Interfaces and Quasilinear Parabolic Evolution Equations $h [electronic resource] / $c by Jan Prüss, Gieri Simonett.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2016.
300 $a XIX, 609 p. 7 illus. $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 Monographs in Mathematics, $x 1017-0480 ; $v 105
505 0 $a Preface -- Basic Notations -- General References -- Part I Background -- 1Problems and Strategies -- 2.Tools from Differential Geometry -- Part II Abstract Theory -- 3Operator Theory and Semigroups -- 4.Vector-Valued Harmonic Analysis -- 5.Quasilinear Parabolic Evolution Equations -- Part III Linear Theory -- 6.Elliptic and Parabolic Problems -- 7.Generalized Stokes Problems -- 8.Two-Phase Stokes Problems -- Part IV Nonlinear Problems -- 9.Local Well-Posedness and Regularity -- 10.Linear Stability of Equilibria -- 11.Qualitative Behaviour of the Semiows -- 12.Further Parabolic Evolution Problems -- Biographical Comments -- Outlook and Future Challenges -- References -- List of Figures -- List of Symbols -- Subject Index.
520 $a In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis. The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.
650 0 $a Partial differential equations. $3 1102982
650 0 $a Physics. $3 564049
650 0 $a Functional analysis. $3 527706
650 1 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Functional Analysis. $3 672166
700 1 $a Simonett, Gieri. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1111733
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319276977
776 0 8 $i Printed edition: $z 9783319276991
776 0 8 $i Printed edition: $z 9783319801964
830 0 $a Monographs in Mathematics, $x 1017-0480 ; $v 105 $3 1271846
856 4 0 $u https://doi.org/10.1007/978-3-319-27698-4
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)