-
2
-
-
79551709781
-
Global-in-time weak measure solutions, and finite-time aggregation for nonlocal interaction equations
-
J.A. Carrillo, M. Di Francesco, A. Figalli, T. Laurent, and D. Slepčev Global-in-time weak measure solutions, and finite-time aggregation for nonlocal interaction equations Duke Math. J. 156 2 2011 229 271
-
(2011)
Duke Math. J.
, vol.156
, Issue.2
, pp. 229-271
-
-
Carrillo, J.A.1
Di Francesco, M.2
Figalli, A.3
Laurent, T.4
Slepčev, D.5
-
5
-
-
57249084869
-
Large time behavior of nonlocal aggregation models with nonlinear diffusion
-
M. Burger, and M. Di Francesco Large time behavior of nonlocal aggregation models with nonlinear diffusion Netw. Heterog. Media 3 2008 749 785
-
(2008)
Netw. Heterog. Media
, vol.3
, pp. 749-785
-
-
Burger, M.1
Di Francesco, M.2
-
6
-
-
33846217387
-
On an aggregation model with long and short range interactions
-
M. Burger, V. Capasso, and D. Morale On an aggregation model with long and short range interactions Nonlinear Anal. RWA 8 2007 939 958
-
(2007)
Nonlinear Anal. RWA
, vol.8
, pp. 939-958
-
-
Burger, M.1
Capasso, V.2
Morale, D.3
-
7
-
-
32644457070
-
An integro-differential equation arising as a limit of individual cell-based models
-
M. Bodnar, and J.J.L. Velázquez An integro-differential equation arising as a limit of individual cell-based models J. Differential Equations 222 2006 341 380
-
(2006)
J. Differential Equations
, vol.222
, pp. 341-380
-
-
Bodnar, M.1
Velázquez, J.J.L.2
-
8
-
-
1542399709
-
Kinetic equilibration rates for granular media and related equations: Entropy dissipation and mass transportation estimates
-
J.A. Carrillo, R.J. McCann, and C. Villani Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates Rev. Mat. Iberoam. 19 2003 1 48
-
(2003)
Rev. Mat. Iberoam.
, vol.19
, pp. 1-48
-
-
Carrillo, J.A.1
McCann, R.J.2
Villani, C.3
-
10
-
-
36349010169
-
Multi-vehicle flocking: Scalability of cooperative control algorithms using pairwise potentials
-
Y.-L. Chuang, Y.R. Huang, M.R. D'Orsogna, A.L. Bertozzi, Multi-vehicle flocking: scalability of cooperative control algorithms using pairwise potentials, in: IEEE International Conference on Robotics and Automation, 2007, pp. 22922299.
-
(2007)
IEEE International Conference on Robotics and Automation
, pp. 2292-2299
-
-
Chuang, Y.-L.1
Huang, Y.R.2
D'Orsogna, M.R.3
Bertozzi, A.L.4
-
11
-
-
33846704688
-
The mean-field limit for the dynamics of large particle systems
-
Exp. No. IX, Univ. Nantes, Nantes
-
F. Golse, The mean-field limit for the dynamics of large particle systems, J. qu. Dériv. Partielles, Exp. No. IX, Univ. Nantes, Nantes, 2003, 47pp.
-
(2003)
J. Qu. Dériv. Partielles
, pp. 47
-
-
Golse, F.1
-
12
-
-
13844298300
-
An interacting particle system modelling aggregation behavior: From individuals to populations
-
D. Morale, V. Capasso, and K. Oelschlger An interacting particle system modelling aggregation behavior: from individuals to populations J. Math. Biol. 50 2005 49 66
-
(2005)
J. Math. Biol.
, vol.50
, pp. 49-66
-
-
Morale, D.1
Capasso, V.2
Oelschlger, K.3
-
15
-
-
16244371027
-
Swarming patterns in a two-dimensional kinematic model for biological groups
-
C.M. Topaz, and A.L. Bertozzi Swarming patterns in a two-dimensional kinematic model for biological groups SIAM J. Appl. Math. 65 2004 152 174
-
(2004)
SIAM J. Appl. Math.
, vol.65
, pp. 152-174
-
-
Topaz, C.M.1
Bertozzi, A.L.2
-
16
-
-
33748692474
-
A nonlocal continuum model for biological aggregation
-
C.M. Topaz, A.L. Bertozzi, and M.A. Lewis A nonlocal continuum model for biological aggregation Bull. Math. Biol. 68 7 2006 1601 1623
-
(2006)
Bull. Math. Biol.
, vol.68
, Issue.7
, pp. 1601-1623
-
-
Topaz, C.M.1
Bertozzi, A.L.2
Lewis, M.A.3
-
17
-
-
0034549474
-
One-dimensional kinetic models of granular flows
-
G. Toscani One-dimensional kinetic models of granular flows RAIRO Modél Math. Anal. Numér. 34 6 2000 1277 1291
-
(2000)
RAIRO Modél Math. Anal. Numér.
, vol.34
, Issue.6
, pp. 1277-1291
-
-
Toscani, G.1
-
18
-
-
1342268227
-
Mutual interactions, potentials, and individual distance in a social aggregation
-
A. Mogilner, L. Edelstein-Keshet, L. Bent, and A. Spiros Mutual interactions, potentials, and individual distance in a social aggregation J. Math. Biol. 47 2003 353 389
-
(2003)
J. Math. Biol.
, vol.47
, pp. 353-389
-
-
Mogilner, A.1
Edelstein-Keshet, L.2
Bent, L.3
Spiros, A.4
-
19
-
-
79961119434
-
Stability of ring patterns arising from 2D particle interactions
-
T. Kolokonikov, H. Sun, D. Uminsky, and A. Bertozzi Stability of ring patterns arising from 2D particle interactions Phys. Rev. E 84 2011 015203
-
(2011)
Phys. Rev. e
, vol.84
, pp. 015203
-
-
Kolokonikov, T.1
Sun, H.2
Uminsky, D.3
Bertozzi, A.4
-
21
-
-
33644946843
-
Self-propelled particles with soft-core interactions: Patterns, stability and collapse
-
M.R. D'Orsogna, Y. Chuang, A. Bertozzi, and L. Chayes Self-propelled particles with soft-core interactions: patterns, stability and collapse Phys. Rev. Lett. 96 2006
-
(2006)
Phys. Rev. Lett.
, vol.96
-
-
D'Orsogna, M.R.1
Chuang, Y.2
Bertozzi, A.3
Chayes, L.4
-
22
-
-
34347371566
-
State transitions and the continuum limit for interacting, self-propelled particles
-
Y. Chuang, M.R. D'Orsogna, D. Marthaler, A. Bertozzi, and L. Chayes State transitions and the continuum limit for interacting, self-propelled particles Physica D 232 2007 33 47
-
(2007)
Physica D
, vol.232
, pp. 33-47
-
-
Chuang, Y.1
D'Orsogna, M.R.2
Marthaler, D.3
Bertozzi, A.4
Chayes, L.5
-
23
-
-
85028342851
-
Non-local interaction equations: Stationary states and stability analysis
-
G. Raoul, Non-local interaction equations: stationary states and stability analysis, Preprint.
-
Preprint
-
-
Raoul, G.1
-
24
-
-
78651233551
-
Stable stationary states of non-local interaction equations
-
K. Fellner, and G. Raoul Stable stationary states of non-local interaction equations Math. Models Methods Appl. Sci. 20 12 2010 2267 2291
-
(2010)
Math. Models Methods Appl. Sci.
, vol.20
, Issue.12
, pp. 2267-2291
-
-
Fellner, K.1
Raoul, G.2
-
25
-
-
79951580992
-
Stability of stationary states of non-local equations with singular interaction potentials
-
K. Fellner, and G. Raoul Stability of stationary states of non-local equations with singular interaction potentials Math. Comput. Modelling 53 78 2011 1436 1450
-
(2011)
Math. Comput. Modelling
, vol.53
, Issue.78
, pp. 1436-1450
-
-
Fellner, K.1
Raoul, G.2
-
26
-
-
0003608428
-
-
Mathematics and its Applications (Soviet Series) Kluwer Academic Publishers Group Dordrecht
-
A.F. Filippov Differential Equations with Discontinuous Righthand Sides Mathematics and its Applications (Soviet Series) vol. 18 1988 Kluwer Academic Publishers Group Dordrecht
-
(1988)
Differential Equations with Discontinuous Righthand Sides
, vol.18
-
-
Filippov, A.F.1
-
27
-
-
0000389658
-
Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients
-
F. Poupaud, and M. Rascle Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients Comm. Partial Differential Equations 22 1997 337 358
-
(1997)
Comm. Partial Differential Equations
, vol.22
, pp. 337-358
-
-
Poupaud, F.1
Rascle, M.2
-
28
-
-
29644436437
-
A proof of crystallization in two dimensions
-
F. Theil A proof of crystallization in two dimensions Comm. Math. Phys. 262 1 2006 209 236
-
(2006)
Comm. Math. Phys.
, vol.262
, Issue.1
, pp. 209-236
-
-
Theil, F.1
-
29
-
-
2442557820
-
-
Graduate Studies in Mathematics American Mathematical Society Providence, RI
-
C. Villani Topics in Optimal Transportation Graduate Studies in Mathematics vol. 58 2003 American Mathematical Society Providence, RI
-
(2003)
Topics in Optimal Transportation
, vol.58
-
-
Villani, C.1
|