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

データ種別 電子書籍
出版者 Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale
出版年 2017

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URL オンライン

EB2938641


書誌詳細を非表示

書誌ID OB01038669
本文言語 英語
一般注記 An overview on flows of vector fields and on optimal transport -- Maximal regular flows for non-smooth vector fields -- Main properties of maximal regular flows and analysis of blow-up -- Lagrangian structure of transport equations -- The continuity equation with an integrable damping term -- Regularity results for very degenerate elliptic equations -- An excess-decay result for a class of degenerate elliptic equations -- The Vlasov-Poisson system -- The semigeostrophic system. .
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Summary: 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
著者標目 *Colombo, Maria
SpringerLink (Online service)
統一書名標目 Publications of the Scuola Normale Superiore ;
件　名 LCSH:Mathematics
LCSH:Partial differential equations
LCSH:Calculus of variations
LCSH:Geophysics
FREE:Mathematics
FREE:Partial Differential Equations
FREE:Calculus of Variations and Optimal Control; Optimization
FREE:Geophysics and Environmental Physics
分　類 LCC:QA370-380
DC23:515.353
巻冊次 ISBN:9788876426070 RefWorks出力（各巻）
print ; ISBN:9788876426063 RefWorks出力（各巻）
資料種別 機械可読データファイル
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