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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

Volume 34,Number 4,     April 2014

Special Issue on Optimal Transport and Applications

1

Preface    Pages : i - ii

Alessio Figalli and Filippo Santambrogio

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2

A global existence result for the semigeostrophic equations in three dimensional convex domains    Pages : 1251 - 1268

Luigi Ambrosio,  Maria Colombo,  Guido De Philippis and Alessio Figalli

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3

Prescription of Gauss curvature on compact hyperbolic orbifolds    Pages : 1269 - 1284

Jérôme Bertrand

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4

Approximation of a simple Navier-Stokes model by monotonic rearrangement    Pages : 1285 - 1300

Yann Brenier

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5

Optimal location problems with routing cost    Pages : 1301 - 1317

Giuseppe Buttazzo,  Serena Guarino Lo Bianco and Fabrizio Oliviero

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6

Uniqueness for Keller-Segel-type chemotaxis models    Pages : 1319 - 1338

José Antonio Carrillo,  Stefano Lisini and Edoardo Mainini

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7

On the twist condition and $c$-monotone transport plans    Pages : 1339 - 1353

Thierry Champion and Luigi De Pascale

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8

Gradient flow structures for discrete porous medium equations    Pages : 1355 - 1374

Matthias Erbar and Jan Maas

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9

On the Lagrangian structure of quantum fluid models    Pages : 1375 - 1396

Philipp Fuchs,  Ansgar Jüngel and Max von Renesse

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10

Optimal transport and large number of particles    Pages : 1397 - 1441

Wilfrid Gangbo and Andrzej Świech

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11

Metric cycles, curves and solenoids    Pages : 1443 - 1463

Vladimir Georgiev and Eugene Stepanov

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12

Remarks on multi-marginal symmetric Monge-Kantorovich problems    Pages : 1465 - 1480

Nassif Ghoussoub and Bernard Maurey

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13

The Abresch-Gromoll inequality in a non-smooth setting    Pages : 1481 - 1509

Nicola Gigli and Sunra Mosconi

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14

Hessian metrics, $CD(K,N)$-spaces, and optimal transportation of log-concave measures    Pages : 1511 - 1532

Alexander V. Kolesnikov

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15

A survey of the Schrödinger problem and some of its connections with optimal transport    Pages : 1533 - 1574

Christian Léonard

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16

Congestion-driven dendritic growth    Pages : 1575 - 1604

Bertrand Maury,  Aude Roudneff-Chupin and Filippo Santambrogio

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17

A glimpse into the differential topology and geometry of optimal transport    Pages : 1605 - 1621

Robert J. McCann

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18

Multi-marginal optimal transport and multi-agent matching problems: Uniqueness and structure of solutions    Pages : 1623 - 1639

Brendan Pass

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19

Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $RCD (K, \infty)$ metric measure spaces    Pages : 1641 - 1661

Giuseppe Savaré

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20

On the local theory of prescribed Jacobian equations    Pages : 1663 - 1681

Neil S. Trudinger

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21

On landscape functions associated with transport paths    Pages : 1683 - 1700

Qinglan Xia

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