-
2
-
-
33748882071
-
Gradient flows in metric spaces and in the space of probability measures
-
ETH Zürich
-
L. Ambrosio, N. Gigli and G. Savare, Gradient flows in metric spaces and in the space of probability measures, Lectures in Mathematics (ETH Zürich, 2005).
-
(2005)
Lectures in Mathematics
-
-
Ambrosio, L.1
Gigli, N.2
Savare, G.3
-
3
-
-
66049132812
-
Gradient flows of probability measures
-
eds. C. M. Dafermos and E. Feireisl Elsevier
-
L. Ambrosio and G. Savare, Gradient flows of probability measures, Handbook of Differential Equations, Evolutionary Equations, Vol. 3, eds. C. M. Dafermos and E. Feireisl (Elsevier, 2007).
-
(2007)
Handbook of Differential Equations, Evolutionary Equations
, vol.3
-
-
Ambrosio, L.1
Savare, G.2
-
4
-
-
48049120920
-
On the modelling crowd dynamics from scalling to hyperbolic macroscopic models
-
N. Bellomo and C. Dogbe, On the modelling crowd dynamics from scalling to hyperbolic macroscopic models, Math. Models Methods Appl. Sci. 18, Suppl. (2008) 1317-1345.
-
(2008)
Math. Models Methods Appl. Sci.
, vol.18
, Issue.SUPPL.
, pp. 1317-1345
-
-
Bellomo, N.1
Dogbe, C.2
-
5
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
J.-D. Benamou and Y. Brenier, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numer. Math. 84(2001) 375-393.
-
(2001)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.-D.1
Brenier, Y.2
-
6
-
-
0036004639
-
Existence and weak stability for a pressureless model with unilateral constraint
-
F. Berthelin, Existence and weak stability for a pressureless model with unilateral constraint, Math. Models Methods Appl. Sci. 12(2002) 249-272.
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, pp. 249-272
-
-
Berthelin, F.1
-
7
-
-
85056021069
-
Convergence of the mass-transport steepest descent scheme for the sub-critical Patlak-Keller-Segel model
-
to appear
-
A. Blanchet, V. Calvez and J. A. Carrillo, Convergence of the mass-transport steepest descent scheme for the sub-critical Patlak-Keller-Segel model, SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal.
-
-
Blanchet, A.1
Calvez, V.2
Carrillo, J.A.3
-
8
-
-
0000395159
-
A hierarchy of models for two-phase flows
-
F. Bouchut, Y. Brenier, J. Cortes and J.-F. Ripoll, A hierarchy of models for two-phase flows, J. Nonlinear Sci. 10(2000) 639-660.
-
(2000)
J. Nonlinear Sci.
, vol.10
, pp. 639-660
-
-
Bouchut, F.1
Brenier, Y.2
Cortes, J.3
Ripoll, J.-F.4
-
9
-
-
78149285853
-
An optimization problem for mass transportation with congested dynamics
-
G. Buttazzo, C. Jimenez and E. Oudet, An optimization problem for mass transportation with congested dynamics, SIAM J. Control Optim. 48(2009) 1961-1976.
-
(2009)
SIAM J. Control Optim.
, vol.48
, pp. 1961-1976
-
-
Buttazzo, G.1
Jimenez, C.2
Oudet, E.3
-
10
-
-
33644963575
-
A model for the optimal planning of an urban area
-
G. Buttazzo and F. Santambrogio, A model for the optimal planning of an urban area, SIAM J. Math. Anal. 37(2005) 514-530.
-
(2005)
SIAM J. Math. Anal.
, vol.37
, pp. 514-530
-
-
Buttazzo, G.1
Santambrogio, F.2
-
11
-
-
2342425267
-
Finite speed of propagation in porous media by mass transportation methods
-
J. A. Carrillo, M. P. Gualdani and G. Toscani, Finite speed of propagation in porous media by mass transportation methods, R. Acad. Sci. Paris Ser. I 338(2004) 815-818.
-
(2004)
R. Acad. Sci. Paris Ser. I
, vol.338
, pp. 815-818
-
-
Carrillo, J.A.1
Gualdani, M.P.2
Toscani, G.3
-
12
-
-
41449106745
-
Numerical approximation of a macroscopic model of pedestrian flows
-
C. Chalons, Numerical approximation of a macroscopic model of pedestrian flows, SIAM J. Sci. Comput. 29(2007) 539-555.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 539-555
-
-
Chalons, C.1
-
13
-
-
78149285415
-
Transport-equilibrium schemes for pedestrian flows with nonclassical shocks
-
Springer
-
C. Chalons, Transport-equilibrium schemes for pedestrian flows with nonclassical shocks, in Traffic and Granular Flows'05 (Springer, 2007), pp. 347-356.
-
(2007)
Traffic and Granular Flows'05
, pp. 347-356
-
-
Chalons, C.1
-
14
-
-
23944512223
-
Pedestrian flows and nonclassical shocks
-
R. M. Colombo and M. D. Rosini, Pedestrian flows and nonclassical shocks, Math. Methods Appl. Sci. 28(2005) 1553-1567.
-
(2005)
Math. Methods Appl. Sci.
, vol.28
, pp. 1553-1567
-
-
Colombo, R.M.1
Rosini, M.D.2
-
15
-
-
49449106664
-
First-order macroscopic modelling of human crowd dynamics
-
V. Coscia and C. Canavesio, First-order macroscopic modelling of human crowd dynamics, Math. Models Methods Appl. Sci. 18(2008) 1217-1247.
-
(2008)
Math. Models Methods Appl. Sci.
, vol.18
, pp. 1217-1247
-
-
Coscia, V.1
Canavesio, C.2
-
16
-
-
84902738914
-
On a partial differential equation involving the Jacobian determinant
-
B. Dacorogna and J. Moser, On a partial differential equation involving the Jacobian determinant, Ann. Inst. H. Poincaré Anal. Non Linéaire 7(1990) 1-26.
-
(1990)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.7
, pp. 1-26
-
-
Dacorogna, B.1
Moser, J.2
-
17
-
-
0007106184
-
New problems on minimizing movements
-
eds. C. Baiocchi and J. L. Lions Masson
-
E. De Giorgi, New problems on minimizing movements, in Boundary Value Problems for PDE and Applications, eds. C. Baiocchi and J. L. Lions (Masson, 1993), pp. 81-98.
-
(1993)
Boundary Value Problems for PDE and Applications
, pp. 81-98
-
-
De Giorgi, E.1
-
19
-
-
48049091801
-
On the numerical solutions of second-order macroscopic models of pedestrian flows
-
C. Dogbe, On the numerical solutions of second-order macroscopic models of pedestrian flows, Comput. Appl. Math. 567(2008) 1884-1898.
-
(2008)
Comput. Appl. Math.
, vol.567
, pp. 1884-1898
-
-
Dogbe, C.1
-
20
-
-
27244445144
-
Relaxation of an optimal control problem involving a perturbed sweeping process
-
J. F. Edmond and L. Thibault, Relaxation of an optimal control problem involving a perturbed sweeping process, Math. Program Ser. B 104(2005) 347-373.
-
(2005)
Math. Program Ser. B.
, vol.104
, pp. 347-373
-
-
Edmond, J.F.1
Thibault, L.2
-
21
-
-
33646483508
-
BV solutions of nonconvex sweeping process differential inclusion with perturbation
-
J. F. Edmond and L. Thibault, BV solutions of nonconvex sweeping process differential inclusion with perturbation, J. Diff. Eqns. 226(2006) 135-179.
-
(2006)
J. Diff. Eqns
, vol.226
, pp. 135-179
-
-
Edmond, J.F.1
Thibault, L.2
-
22
-
-
0000736872
-
A fluid dynamic model for the movement of pedestrians
-
D. Helbing, A fluid dynamic model for the movement of pedestrians, Complex Syst. 6(1992) 391-415.
-
(1992)
Complex Syst.
, vol.6
, pp. 391-415
-
-
Helbing, D.1
-
23
-
-
14344274612
-
Computer simulations of pedestrian dynamics and trail formation
-
Stuttgart
-
D. Helbing, P. Molnár and F. Schweitzer, Computer simulations of pedestrian dynamics and trail formation, in Evolution of Natural Structures, Sonderforschungsbereich, Vol. 230 (Stuttgart, 1994), pp. 229-234.
-
(1994)
Evolution of Natural Structures, Sonderforschungsbereich
, vol.230
, pp. 229-234
-
-
Helbing, D.1
Molnár, P.2
Schweitzer, F.3
-
24
-
-
35949007691
-
Social force model for pedestrian dynamics
-
D. Helbing and P. Molnár, Social force model for pedestrian dynamics, Phys. Rev. E 51(1995) 4282-4286.
-
(1995)
Phys. Rev. E
, vol.51
, pp. 4282-4286
-
-
Helbing, D.1
Molnár, P.2
-
25
-
-
0037852770
-
Optimal self-organization
-
D. Helbing and T. Vicsek, Optimal self-organization, New J. Phys. 1(1999) 13.1-13.17.
-
(1999)
New J. Phys.
, vol.1
, pp. 131-1317
-
-
Helbing, D.1
Vicsek, T.2
-
26
-
-
0034727079
-
Simulating dynamical features of escape panic
-
D. Helbing, I. Farkas and T. Vicsek, Simulating dynamical features of escape panic, Nature 407(2000) 487-490.
-
(2000)
Nature
, vol.407
, pp. 487-490
-
-
Helbing, D.1
Farkas, I.2
Vicsek, T.3
-
27
-
-
35248856713
-
The statistics of crowd fluids
-
L. F. Henderson, The statistics of crowd fluids, Nature 229(1971) 381-383.
-
(1971)
Nature
, vol.229
, pp. 381-383
-
-
Henderson, L.F.1
-
28
-
-
2542446484
-
Dynamic user-optimal assignment in continuous time and space
-
S. P. Hoogendoorn and P. H. L. Bovy, Dynamic user-optimal assignment in continuous time and space, Transp. Res. Part B 38(2004) 571-592.
-
(2004)
Transp. Res. Part B.
, vol.38
, pp. 571-592
-
-
Hoogendoorn, S.P.1
Bovy, P.H.L.2
-
29
-
-
0344272298
-
Pedestrian route-choice and activity scheduling theory and models
-
S. P. Hoogendoorn and P. H. L. Bovy, Pedestrian route-choice and activity scheduling theory and models, Transp. Res. Part B 38(2004) 169-190.
-
(2004)
Transp. Res. Part B.
, vol.38
, pp. 169-190
-
-
Hoogendoorn, S.P.1
Bovy, P.H.L.2
-
30
-
-
0036643318
-
A continuum theory for the flow of pedestrian
-
R. L. Hughes, A continuum theory for the flow of pedestrian, Transp. Res. Part B 36(2002) 507-535.
-
(2002)
Transp. Res. Part B.
, vol.36
, pp. 507-535
-
-
Hughes, R.L.1
-
31
-
-
0346245136
-
The flow of human crowds
-
R. L. Hughes, The flow of human crowds, Ann. Rev. Fluid Mech. 35(2003) 169-183.
-
(2003)
Ann. Rev. Fluid Mech.
, vol.35
, pp. 169-183
-
-
Hughes, R.L.1
-
32
-
-
0032343437
-
The variational formulation of the Fokker-Planck equation
-
R. Jordan, D. Kinderlehrer and F. Otto, The variational formulation of the Fokker-Planck equation, SIAM J. Math. Anal. 29(1998) 1-17.
-
(1998)
SIAM J. Math. Anal.
, vol.29
, pp. 1-17
-
-
Jordan, R.1
Kinderlehrer, D.2
Otto, F.3
-
34
-
-
85046091806
-
Handling of contacts in crowd motion simulations
-
Springer
-
B. Maury and J. Venel, Handling of contacts in crowd motion simulations, in Traffic and Granular Flow (Springer, 2007).
-
(2007)
Traffic and Granular Flow
-
-
Maury, B.1
Venel, J.2
-
35
-
-
57049166432
-
A mathematical framework for a crowd motion model
-
B. Maury and J. Venel, A mathematical framework for a crowd motion model, C. R. Acad. Sci. Paris, Ser. I 346(2008) 1245-1250.
-
(2008)
C. R. Acad. Sci. Paris, Ser. I
, vol.346
, pp. 1245-1250
-
-
Maury, B.1
Venel, J.2
-
36
-
-
0000003251
-
Evolution problem associated with a moving convex set in a Hilbert space
-
J. J. Moreau, Evolution problem associated with a moving convex set in a Hilbert space, J. Diff. Eqns. 26(1977) 346-374.
-
(1977)
J. Diff. Eqns
, vol.26
, pp. 346-374
-
-
Moreau, J.J.1
-
37
-
-
0001560970
-
The geometry of dissipative evolution equations: The porous medium equation
-
F. Otto, The geometry of dissipative evolution equations: The porous medium equation, Comm. Partial Diff. Eqns. 26(2001) 101-174.
-
(2001)
Comm. Partial Diff. Eqns
, vol.26
, pp. 101-174
-
-
Otto, F.1
-
39
-
-
68149136534
-
Pedestrian flows in bounded domains with obstacles
-
to appear
-
B. Piccoli and A. Tosin, Pedestrian flows in bounded domains with obstacles, Cont. Mech. Thermodyn., to appear.
-
Cont. Mech. Thermodyn.
-
-
Piccoli, B.1
Tosin, A.2
-
41
-
-
79952550422
-
Integrating strategies in numerical modelling of crowd motion
-
Springer
-
J. Venel, Integrating strategies in numerical modelling of crowd motion, in Pedestrian and Evacuation Dynamics (Springer, 2008).
-
(2008)
Pedestrian and Evacuation Dynamics
-
-
Venel, J.1
-
42
-
-
1542342359
-
Topics in optimal transportation
-
Amer. Math. Soc.
-
C. Villani, Topics in optimal transportation, in Grad. Stud. Math., Vol. 58 (Amer. Math. Soc., 2003).
-
(2003)
Grad. Stud. Math.
, vol.58
-
-
Villani, C.1
-
43
-
-
59949100627
-
Optimal transport, old and new
-
Springer
-
C. Villani, Optimal transport, old and new, Grundlehren Math. Wiss. 338 (Springer, 2009).
-
(2009)
Grundlehren Math. Wiss
, vol.338
-
-
Villani, C.1
|