Moving Interfaces and Quasilinear Parabolic Evolution Equations

di Jan Prüss (Autore)

Gieri Simonett (Autore)

Birkhauser Verlag AG, 2018

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 offluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

• Autore: Jan Prüss, Gieri Simonett
• Editore: Birkhauser Verlag AG
• Collana: Monographs in Mathematics
• Anno: 2018
• Rilegatura: Paperback / softback
• Pagine: 609 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783319801964

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