Moving Interfaces and Quasilinear Parabolic Evolution Equations
Jan PrüssGieri Simonett
Broschiertes Buch

Moving Interfaces and Quasilinear Parabolic Evolution Equations

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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 anal...