| 書目名稱 | Moving Interfaces and Quasilinear Parabolic Evolution Equations | | 編輯 | Jan Prüss,Gieri Simonett | | 視頻video | http://file.papertrans.cn/640/639771/639771.mp4 | | 概述 | Provides a rich source of techniques and results.Presents an in-depth and up-to-date exposition of the theory of maximal regularity and its application to quasilinear parabolic equations.Demonstrates | | 叢書名稱 | Monographs in Mathematics | | 圖書封面 |  | | 描述 | .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.. | | 出版日期 | Book 2016 | | 關(guān)鍵詞 | partial differential equations; maximal regularity; evolution equations; moving interfaces; two-phase fl | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-27698-4 | | isbn_softcover | 978-3-319-80196-4 | | isbn_ebook | 978-3-319-27698-4Series ISSN 1017-0480 Series E-ISSN 2296-4886 | | issn_series | 1017-0480 | | copyright | Springer International Publishing Switzerland 2016 |
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