书目名称 | Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations |
副标题 | With Applications to |
编辑 | Maria Colombo |
视频video | |
概述 | Provides a mathematical tool to describe the motion of large-scale oceanic/atmospheric flow.Focuses on interactions between transport equations and PDEs.The Theses was defended at Scuola Normale Super |
丛书名称 | Publications of the Scuola Normale Superiore |
图书封面 |  |
描述 | The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in the eulerian counterpart of some transport models with congestion. The second part of the book deals with the lagrangian structure of solutions of the Vlasov-Poisson system, which describes the evolution of a system of particles under the self-induced gravitational/electrostatic field, and the existence of solutions of the semigeostrophic system, used in meteorology to describe the motion of large-scale oceanic/atmospheric flows.. |
出版日期 | Book 2017 |
关键词 | Lagrangian flows; transport equations; Vlasov-Poisson system; renormalized solutions; degenerate ellipti |
版次 | 1 |
doi | https://doi.org/10.1007/978-88-7642-607-0 |
isbn_softcover | 978-88-7642-606-3 |
isbn_ebook | 978-88-7642-607-0Series ISSN 2239-1460 Series E-ISSN 2532-1668 |
issn_series | 2239-1460 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |