Cargando…
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...
Autor principal: | |
---|---|
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 |
_version_ | 1780954945203208192 |
---|---|
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 |
record_format | invenio |
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 |