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Flows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systems

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 congest...

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Detalles Bibliográficos
Autor principal: Colombo, Maria
Lenguaje:eng
Publicado: Springer 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-88-7642-607-0
http://cds.cern.ch/record/2272815
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author Colombo, Maria
author_facet Colombo, Maria
author_sort Colombo, Maria
collection CERN
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.
id cern-2272815
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
publisher Springer
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spelling cern-22728152021-04-21T19:09:17Zdoi:10.1007/978-88-7642-607-0http://cds.cern.ch/record/2272815engColombo, MariaFlows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systemsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:22728152017
spellingShingle Mathematical Physics and Mathematics
Colombo, Maria
Flows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systems
title Flows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systems
title_full Flows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systems
title_fullStr Flows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systems
title_full_unstemmed Flows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systems
title_short Flows of non-smooth vector fields and degenerate elliptic equations: with applications to the Vlasov-Poisson and semigeostrophic systems
title_sort flows of non-smooth vector fields and degenerate elliptic equations: with applications to the vlasov-poisson and semigeostrophic systems
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-88-7642-607-0
http://cds.cern.ch/record/2272815
work_keys_str_mv AT colombomaria flowsofnonsmoothvectorfieldsanddegenerateellipticequationswithapplicationstothevlasovpoissonandsemigeostrophicsystems