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Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations

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Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations

With Applications to the Vlasov-Poisson and Semigeostrophic Systems

Maria Colombo

Edizioni della Normale
Collection: Publications of the Scuola Normale Superiore
Publication date : 2017-06-07

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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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About the book

Author

Maria Colombo

Imprint

Edizioni della Normale

Collection

Publications of the Scuola Normale Superiore

Publication date

2017-06-07

Pages

250 pages

Print ISBN

9788876426063

Language

English

Ebook informations

EAN PDF

9788876426070

Price

£15.99

Copy count 0

Print count 0

File size 1966 Ko

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About author(s)

Maria Colombo

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