书目名称 | Scalar Conservation Laws |
编辑 | Giuseppe Maria Coclite |
视频video | |
概述 | provides completely detailed proofs that allows reader to follow all the arguments line by line.presents some topics from papers and essays with elegant proofs which makes them easier to understand.fi |
丛书名称 | SpringerBriefs in Mathematics |
图书封面 |  |
描述 | This book are notes prepared for the PhD courses that the author has been teaching during the last 10 years. The material available in the already existing literature (papers and essays) has been collected in this unique text, presenting the results with all the details for the reader’s convenience, fixing a unified notation, and providing a consistent framework for the subject. These notes cover many of the arguments that usually can be found in high level essays, where the proofs are simply sketched, and in papers, which are not easily available and not always self-contained..This book is intended for.1. PhD students in Mathematics, Physics and Mechanical Engineering in order to learn the basic features of nonlinear scalar equations,.2. researchers interested in nonlinear hyperbolic PDEs in order to learn the details behind some known and deep results on nonlinear scalar equations,.3. teachers of courses on nonlinear PDEs..The readers are expected to know the basic measure theory and Sobolev spaces. . |
出版日期 | Book 2024 |
关键词 | shock waves; fluid dynamic; compensated compactness; Oleinik estimate; asymptotics of periodic solution |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-97-3984-4 |
isbn_softcover | 978-981-97-3983-7 |
isbn_ebook | 978-981-97-3984-4Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
issn_series | 2191-8198 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |