Moving Interfaces and Quasilinear Parabolic Evolution Equations

AvJan Prüss,Gieri Simonett

Häftad, Engelska, 2018

Del 105 i serien Monographs in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2018-06-07
Mått:155 x 235 x 35 mm
Vikt:950 g
Format:Häftad
Språk:Engelska
Serie:Monographs in Mathematics
Antal sidor:609
Förlag:Birkhauser Verlag AG
ISBN:9783319801964

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“This book is useful for readers at a variety of levels and stages. … The book includes an extensive bibliography and bibliographical remarks throughout that serve to situate the book perfectly within its context. … the work serves as an invaluable resource to the community.” (Glen E. Wheeler, Mathematical Reviews, October, 2017)

Innehållsförteckning

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.