國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Flows of non-smooth vector fields and degenerate elliptic equations/ by Maria Colombo.
其他題名:	with applications to the Vlasov-Poisson and semigeostrophic systems /
作者:	Colombo, Maria.
出版者:	Pisa :Scuola Normale Superiore : : 2017.,
面頁冊數:	xxiii, 269 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Vector fields. -
電子資源:	http://dx.doi.org/10.1007/978-88-7642-607-0
ISBN:	9788876426070

Flows of non-smooth vector fields and degenerate elliptic equations = with applications to the Vlasov-Poisson and semigeostrophic systems /
Colombo, Maria.

Flows of non-smooth vector fields and degenerate elliptic equationswith applications to the Vlasov-Poisson and semigeostrophic systems /[electronic resource] :by Maria Colombo. - Pisa :Scuola Normale Superiore :2017. - xxiii, 269 p. :ill., digital ;24 cm. - Tesi ;22. - Tesi ;20..

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.

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.

ISBN: 9788876426070

Standard No.: 10.1007/978-88-7642-607-0doiSubjects--Topical Terms:

792621
Vector fields.

LC Class. No.: QA613.619

Dewey Class. No.: 514.72

Flows of non-smooth vector fields and degenerate elliptic equations = with applications to the Vlasov-Poisson and semigeostrophic systems /
LDR:02205nam a2200325 a 4500 001 905832
003 DE-He213
005 20180118101044.0
006 m d
007 cr nn 008maaau
008 190308s2017 it s 0 eng d
020 $a 9788876426070 $q (electronic bk.)
020 $a 9788876426063 $q (paper)
024 7 $a 10.1007/978-88-7642-607-0 $2 doi
035 $a 978-88-7642-607-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA613.619
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 514.72 $2 23
090 $a QA613.619 $b .C718 2017
100 1 $a Colombo, Maria. $3 1173243
245 1 0 $a Flows of non-smooth vector fields and degenerate elliptic equations $h [electronic resource] : $b with applications to the Vlasov-Poisson and semigeostrophic systems / $c by Maria Colombo.
260 $a Pisa : $b Scuola Normale Superiore : $b Imprint: Edizioni della Normale, $c 2017.
300 $a xxiii, 269 p. : $b ill., digital ; $c 24 cm.
490 1 $a Tesi ; $v 22
505 0 $a 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.
520 $a 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.
650 0 $a Vector fields. $3 792621
650 0 $a Elliptic functions. $3 679612
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Geophysics and Environmental Physics. $3 782420
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Tesi ; $v 20. $3 1070735
856 4 0 $u http://dx.doi.org/10.1007/978-88-7642-607-0
950 $a Mathematics and Statistics (Springer-11649)