书目名称 | Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids |
编辑 | Martin Fuchs,Gregory Seregin |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids. |
出版日期 | Book 2000 |
关键词 | Boundary value problem; functional analysis; generalized Newtonian fluids; plasticity; regularity of sol |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0103751 |
isbn_softcover | 978-3-540-41397-4 |
isbn_ebook | 978-3-540-44442-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2000 |