ENGLISH

Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations: with Applications to the Vlasov-Poisson and Semigeostrophic Systems

By Maria Colombo (auth.)

Book information

Publisher
Edizioni della Normale
Year
2017
ISBN
978-88-7642-606-3, 978-88-7642-607-0
DOI
10.1007/978-88-7642-607-0
Language
english
Format
PDF
Filesize
2 MB (2014573 bytes)
Series
Publications of the Scuola Normale Superiore 22
Edition
1
Pages
\285
Time added
2017-06-25 01:07:36
Partial Differential Equations;Calculus of Variati

Description

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.​

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