소장자료
| LDR | 02998cam a2200361 a 4500 | ||
| 001 | 0093768787▲ | ||
| 003 | OCoLC▲ | ||
| 005 | 20180519060235▲ | ||
| 008 | 151211t20162016sz a b 001 0 eng c▲ | ||
| 010 | ▼a2016940884▲ | ||
| 020 | ▼a3319276972▲ | ||
| 020 | ▼a9783319276977▲ | ||
| 020 | ▼z9783319276984 (eBook)▲ | ||
| 020 | ▼z3319276980 (eBook)▲ | ||
| 035 | ▼a(OCoLC)932095828▲ | ||
| 040 | ▼aYDXCP▼beng▼cYDXCP▼dBTCTA▼dOCLCQ▼dOHX▼dIQU▼dSUC▼dOCLCF▼dBDX▲ | ||
| 050 | 4 | ▼aQA379▼b.P78 2016▲ | |
| 072 | 7 | ▼aQA▼2lcco▲ | |
| 082 | 0 | 4 | ▼a515.353▼223▲ |
| 090 | ▼a515.353▼bP971m▲ | ||
| 100 | 1 | ▼aPrüss, Jan,▼d1951-▲ | |
| 245 | 1 | 0 | ▼aMoving interfaces and quasilinear parabolic evolution equations /▼cJan Prüss, Gieri Simonett.▲ |
| 260 | ▼aSwitzerland :▼bBirkhauser,▼c2016.▲ | ||
| 300 | ▼axix, 609 p. :▼bill. ;▼c24 cm.▲ | ||
| 490 | 1 | ▼aMonographs in Mathematics ;▼vvol. 105,▼x1017-0480▲ | |
| 504 | ▼aIncludes bibliographical references (p. 589-604) and index.▲ | ||
| 505 | 0 | ▼aPreface -- Basic Notations -- General References -- Part I Background -- 1.Problems and Strategies -- 2.Tools from Differential Geometry -- Part II Abstract Theory -- 3.Operator 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 Semiflows -- 12.Further Parabolic Evolution Problems -- Biographical Comments -- Outlook and Future Challenges -- References -- List of Figures -- List of Symbols -- Subject Index.▲ | |
| 520 | ▼aIn 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 | ▼aBoundary value problems.▲ | |
| 650 | 0 | ▼aInterfaces (Physical sciences)▼xMathematics.▲ | |
| 700 | 1 | ▼aSimonett, Gieri,▼d1959-▲ | |
| 830 | 0 | ▼aMonographs in mathematics ;▼vv. 105.▼x1017-0480▲ | |
| 999 | ▼c김정이▲ |
Moving interfaces and quasilinear parabolic evolution equations
자료유형
국외단행본
서명/책임사항
Moving interfaces and quasilinear parabolic evolution equations / Jan Prüss, Gieri Simonett.
발행사항
Switzerland : Birkhauser , 2016.
형태사항
xix, 609 p. : ill. ; 24 cm.
총서사항
서지주기
Includes bibliographical references (p. 589-604) and index.
내용주기
Preface -- Basic Notations -- General References -- Part I Background -- 1.Problems and Strategies -- 2.Tools from Differential Geometry -- Part II Abstract Theory -- 3.Operator 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 Semiflows -- 12.Further Parabolic Evolution Problems -- Biographical Comments -- Outlook and Future Challenges -- References -- List of Figures -- List of Symbols -- Subject Index.
요약주기
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
3319276972 9783319276977
청구기호
515.353 P971m
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