Moving Interfaces and quasilinear parabolic evolution equations

著者

書誌事項

Moving Interfaces and quasilinear parabolic evolution equations

Jan Prüss, Gieri Simonett

(Monographs in mathematics, v. 105)

Birkhäuser , Springer, c2016

  • : pbk

大学図書館所蔵 件 / 2

この図書・雑誌をさがす

注記

Includes bibliographical references (p. 589-604) and index

"Softcover reprint of the hardcover 1st edition 2016"--T.p. verso

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BC07629039
  • ISBN
    • 9783319801964
  • 出版国コード
    xx
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [S.l.],[Cham]
  • ページ数/冊数
    xix, 609 p.
  • 大きさ
    24 cm
  • 親書誌ID
ページトップへ