000 03024nam a22004815i 4500
001 978-88-7642-607-0
003 DE-He213
005 20200626142906.0
007 cr nn 008mamaa
008 170607s2017 it | s |||| 0|eng d
020 _a9788876426070
_9978-88-7642-607-0
024 7 _a10.1007/978-88-7642-607-0
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aColombo, Maria.
_eauthor.
_979810
245 1 0 _aFlows of Non-smooth Vector Fields and Degenerate Elliptic Equations
_h[electronic resource] :
_bwith Applications to the Vlasov-Poisson and Semigeostrophic Systems /
_cby Maria Colombo.
264 1 _aPisa :
_bScuola Normale Superiore :
_bImprint: Edizioni della Normale,
_c2017.
300 _aApprox. 250 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aPublications of the Scuola Normale Superiore ;
_v22
505 0 _aAn 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. .
520 _aThe 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.
650 0 _aMathematics.
_979811
650 0 _aPartial differential equations.
_95365
650 0 _aCalculus of variations.
_95531
650 0 _aGeophysics.
_98181
650 1 4 _aMathematics.
_979811
650 2 4 _aPartial Differential Equations.
_95365
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_979812
650 2 4 _aGeophysics and Environmental Physics.
_98302
710 2 _aSpringerLink (Online service)
_91367
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788876426063
830 0 _aPublications of the Scuola Normale Superiore ;
_v22
_979813
856 4 0 _uhttps://link-springer-com.libraryproxy.ist.ac.at/book/10.1007/978-88-7642-607-0
912 _aZDB-2-SMA
999 _c389816
_d389816