Birkhauser Moving Interfaces and Quasilinear Parabolic Equations

This monograph from Birkhauser provides a comprehensive mathematical approach to analyzing problems involving moving interfaces. The text offers an in-depth study of abstract quasilinear parabolic evolution equations and elliptic and parabolic boundary value problems. Readers will find detailed coverage of transmission problems, one- and two-phase Stokes problems, and the equations governing incompressible viscous one- and two-phase fluid flows. A central component of this work is the full development of the theory of maximal regularity. The authors utilize a modern methodology built on powerful tools from classical analysis and functional analysis to address these complex mathematical topics. This volume serves as a technical resource for those studying differential equations and mathematical analysis.