LEADER 03389nam  22005415  450 
001 9910254273703321
005 20240703112816.0
010   $a88-7642-607-8
024 7 $a10.1007/978-88-7642-607-0
035   $a(CKB)3710000001406258
035   $a(DE-He213)978-88-7642-607-0
035   $a(MiAaPQ)EBC4873426
035   $a(PPN)202990257
035   $a(EXLCZ)993710000001406258
100   $a20170607d2017      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFlows of Non-Smooth Vector Fields and Degenerate Elliptic Equations $eWith Applications to the Vlasov-Poisson and Semigeostrophic Systems  /$fby Maria Colombo
205   $a1st ed. 2017.
210  1$aPisa :$cScuola Normale Superiore :$cImprint: Edizioni della Normale,$d2017.
215   $a1 online resource (Approx. 250 p.)
225 1 $aTheses (Scuola Normale Superiore),$x2239-1460 ;$v22
311   $a88-7642-606-X 
320   $aIncludes bibliographical references.
327   $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. .
330   $aThe first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in the eulerian counterpart of some transport models with congestion. The second part of the book deals with the lagrangian structure of solutions of the Vlasov-Poisson system, which describes the evolution of a system of particles under the self-induced gravitational/electrostatic field, and the existence of solutions of the semigeostrophic system, used in meteorology to describe the motion of large-scale oceanic/atmospheric flows.
410  0$aTheses (Scuola Normale Superiore),$x2239-1460 ;$v22
606   $aDifferential equations, Partial
606   $aCalculus of variations
606   $aGeophysics
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aGeophysics and Environmental Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P32000
615  0$aDifferential equations, Partial.
615  0$aCalculus of variations.
615  0$aGeophysics.
615 14$aPartial Differential Equations.
615 24$aCalculus of Variations and Optimal Control; Optimization.
615 24$aGeophysics and Environmental Physics.
676   $a515.353
700   $aColombo$b Maria$f1989-$4aut$4http://id.loc.gov/vocabulary/relators/aut$01780210
906   $aBOOK
912   $a9910254273703321
996   $aFlows of Non-Smooth Vector Fields and Degenerate Elliptic Equations$94303876
997   $aUNINA