书目名称 | Divergence Operator and Related Inequalities |
编辑 | Gabriel Acosta,Ricardo G. Durán |
视频video | |
概述 | Unified and self-contained presentation of fundamental tools in continuum mechanics.Provides a constructive and descriptive approach to the mathematical framework with a growing level of complexity.Nu |
丛书名称 | SpringerBriefs in Mathematics |
图书封面 |  |
描述 | This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincaré inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Hölder . .α domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well. |
出版日期 | Book 2017 |
关键词 | Korn‘s Inequalities; Right Inverse of the Divergence Operator; Improved Poincare Inequalities; Weighted |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4939-6985-2 |
isbn_softcover | 978-1-4939-6983-8 |
isbn_ebook | 978-1-4939-6985-2Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
issn_series | 2191-8198 |
copyright | The Author(s) 2017 |