Moving Interfaces and Quasilinear Parabolic Evolution Equations

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.

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• Análise funcional e transforma
• Física Matemática
• Cálculo diferencial e equações

partial differential equations;maximal regularity;evolution equations;moving interfaces;two-phase fluid flows;Navier-Stokes equations;phase transitions;entropy and thermodynamics;geometry of moving hypersurfaces;transmissions problems;vector--valued harmonic analysis