Moving Interfaces and Quasilinear Parabolic Evolution Equations（Monographs in Mathematics, 105）运动界面与拟线性抛物型演化方程（数学专著丛书105，货号TJ）
￥ 748 ￥ 199.99 九五品
仅1件
作者Jan Prüss and Gieri Simonett
出版社Birkhäuser
ISBN9783319276977
出版时间1984
版次1
出版地London；New York
印刷时间2016
印次1
装帧精装
尺寸24.3 × 16.1 cm
纸张胶版纸
页数628页
定价199.99元
正文语种英语
货号TJ3081
上书时间2024-11-08
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本书原定价159.99美元，净重1150克，私藏自然旧。【图书分类：数理科学和化学 > 数学 > 数学分析 > 微分方程、积分方程 > 边值问题】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.
Review：
“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)
From the Back Cover：
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.
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