-
1
-
-
0038403553
-
Phase transitions in self-driven many-particle systems and related non-equilibrium models: A network approach
-
1/2
-
Aldana, M., Huepe, C.: Phase transitions in self-driven many-particle systems and related non-equilibrium models: a network approach. J. Stat. Phys. 112(1/2), 135-153 (2003)
-
(2003)
J. Stat. Phys.
, vol.112
, pp. 135-153
-
-
Aldana, M.1
Huepe, C.2
-
2
-
-
85008024215
-
A simulation study on the schooling mechanism in fish
-
Aoki, I.: A simulation study on the schooling mechanism in fish. Bull. Jpn. Soc. Sci. Fish. 48, 1081-1088 (1982)
-
(1982)
Bull. Jpn. Soc. Sci. Fish.
, vol.48
, pp. 1081-1088
-
-
Aoki, I.1
-
3
-
-
33645163099
-
A model for the dynamics of large queuing networks and supply chains
-
Armbruster, D., Degond, P., Ringhofer, C.: A model for the dynamics of large queuing networks and supply chains. SIAM J. Appl. Math. 66, 896-920 (2006)
-
(2006)
SIAM J. Appl. Math.
, vol.66
, pp. 896-920
-
-
Armbruster, D.1
Degond, P.2
Ringhofer, C.3
-
4
-
-
0036706213
-
Derivation of continuum traffic flow models from microscopic follow-the-leader models
-
Aw, A., Klar, A., Rascle, M., Materne, T.: Derivation of continuum traffic flow models from microscopic follow-the-leader models. SIAM J. Appl. Math. 63, 259-278 (2002)
-
(2002)
SIAM J. Appl. Math.
, vol.63
, pp. 259-278
-
-
Aw, A.1
Klar, A.2
Rascle, M.3
Materne, T.4
-
6
-
-
84967735805
-
Diffusion approximation and computation of the critical size
-
Bardos, C., Santos, R., Sentis, R.: Diffusion approximation and computation of the critical size. Trans. Am. Math. Soc. 284, 617-649 (1984)
-
(1984)
Trans. Am. Math. Soc.
, vol.284
, pp. 617-649
-
-
Bardos, C.1
Santos, R.2
Sentis, R.3
-
7
-
-
0037371418
-
Electron transport in semiconductor superlattices
-
Ben Abdallah, N., Degond, P., Mellet, A., Poupaud, F.: Electron transport in semiconductor superlattices. Q. Appl. Math. 61, 161-192 (2003)
-
(2003)
Q. Appl. Math.
, vol.61
, pp. 161-192
-
-
Ben Abdallah, N.1
Degond, P.2
Mellet, A.3
Poupaud, F.4
-
8
-
-
84990275454
-
Boundary layers and homogenization of transport processes
-
Bensoussan, A., Lions, J.L., Papanicolaou, G.C.: Boundary layers and homogenization of transport processes. J. Publ. RIMS Kyoto Univ. 15, 53-157 (1979)
-
(1979)
J. Publ. RIMS Kyoto Univ.
, vol.15
, pp. 53-157
-
-
Bensoussan, A.1
Lions, J.L.2
Papanicolaou, G.C.3
-
10
-
-
0036880372
-
Employing stochastic differential equations to model wildlife motion
-
Brillinger, D.R., Preisler, H.K., Ager, A.A., Kie, J.G., Stewart, B.S.: Employing stochastic differential equations to model wildlife motion. Bull. Braz. Math. Soc. 33, 385-408 (2002)
-
(2002)
Bull. Braz. Math. Soc.
, vol.33
, pp. 385-408
-
-
Brillinger, D.R.1
Preisler, H.K.2
Ager, A.A.3
Kie, J.G.4
Stewart, B.S.5
-
11
-
-
0003481309
-
-
Princeton University Press Princeton
-
Camazine, S., Deneubourg, J.-L., Franks, N.R., Sneyd, J., Theraulaz, G., Bonabeau, E.: Self-Organization in Biological Systems. Princeton University Press, Princeton (2002)
-
(2002)
Self-Organization in Biological Systems
-
-
Camazine, S.1
Deneubourg, J.-L.2
Franks, N.R.3
Sneyd, J.4
Theraulaz, G.5
Bonabeau, E.6
-
12
-
-
33751059243
-
Diffusion dynamics of classical systems driven by an oscillatory force
-
Castella, F., Degond, P., Goudon, T.: Diffusion dynamics of classical systems driven by an oscillatory force. J. Stat. Phys. 124, 913-950 (2006)
-
(2006)
J. Stat. Phys.
, vol.124
, pp. 913-950
-
-
Castella, F.1
Degond, P.2
Goudon, T.3
-
14
-
-
0036406983
-
Collective memory and spatial sorting in animal groups
-
Couzin, I.D., Krause, J., James, R., Ruxton, G.D., Franks, N.R.: Collective memory and spatial sorting in animal groups. J. Theor. Biol. 218, 1-11 (2002)
-
(2002)
J. Theor. Biol.
, vol.218
, pp. 1-11
-
-
Couzin, I.D.1
Krause, J.2
James, R.3
Ruxton, G.D.4
Franks, N.R.5
-
15
-
-
0000345720
-
Global existence of solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions
-
Degond, P.: Global existence of solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions. An. Sci. Ec. Norm. Sup. 19, 519-542 (1986)
-
(1986)
An. Sci. Ec. Norm. Sup.
, vol.19
, pp. 519-542
-
-
Degond, P.1
-
16
-
-
33644542328
-
Macroscopic limits of the Boltzmann equation: A review
-
Degond, P., Pareschi, L., Russo, G. (eds.) Modeling and Computational Methods for Kinetic Equations Birkhäuser Boston
-
Degond, P.: Macroscopic limits of the Boltzmann equation: a review. In: Degond, P., Pareschi, L., Russo, G. (eds.) Modeling and Computational Methods for Kinetic Equations. Modeling and Simulation in Science, Engineering and Technology Series, pp. 3-57. Birkhäuser, Boston (2003)
-
(2003)
Modeling and Simulation in Science, Engineering and Technology Series
, pp. 3-57
-
-
Degond, P.1
-
17
-
-
0035392984
-
Diffusion driven by collisions with the boundary
-
Degond, P., Mancini, S.: Diffusion driven by collisions with the boundary. Asymptot. Anal. 27, 47-73 (2001)
-
(2001)
Asymptot. Anal.
, vol.27
, pp. 47-73
-
-
Degond, P.1
Mancini, S.2
-
18
-
-
0000097405
-
Existence of solutions and diffusion approximation for a model Fokker-Planck equation
-
Degond, P., Mas-Gallic, S.: Existence of solutions and diffusion approximation for a model Fokker-Planck equation. Transp. Theory Stat. Phys. 16, 589-636 (1987)
-
(1987)
Transp. Theory Stat. Phys.
, vol.16
, pp. 589-636
-
-
Degond, P.1
Mas-Gallic, S.2
-
19
-
-
49449106913
-
Continuum limit of self-driven particles with orientation interaction
-
to appear
-
Degond, P., Motsch, S.: Continuum limit of self-driven particles with orientation interaction. Math. Models Methods Appl. Sci. (M3AS) (to appear)
-
Math. Models Methods Appl. Sci. (M3AS)
-
-
Degond, P.1
Motsch, S.2
-
20
-
-
36148999055
-
Macroscopic limit of self-driven particles with orientation interaction
-
Degond, P., Motsch, S.: Macroscopic limit of self-driven particles with orientation interaction. C. R. Acad. Sci. Paris, Ser. I 345, 555-560 (2007)
-
(2007)
C. R. Acad. Sci. Paris, Ser. i
, vol.345
, pp. 555-560
-
-
Degond, P.1
Motsch, S.2
-
21
-
-
0036706396
-
Diffusion approximation of a scattering matrix model of a semiconductor superlattice
-
Degond, P., Zhang, K.: Diffusion approximation of a scattering matrix model of a semiconductor superlattice. SIAM J. Appl. Math. 63, 279-298 (2002)
-
(2002)
SIAM J. Appl. Math.
, vol.63
, pp. 279-298
-
-
Degond, P.1
Zhang, K.2
-
22
-
-
7444262814
-
Diffusion dynamics of an electron gas confined between two plates
-
Degond, P., Latocha, V., Mancini, S., Mellet, A.: Diffusion dynamics of an electron gas confined between two plates. Methods Appl. Anal. 9, 127-150 (2002)
-
(2002)
Methods Appl. Anal.
, vol.9
, pp. 127-150
-
-
Degond, P.1
Latocha, V.2
Mancini, S.3
Mellet, A.4
-
23
-
-
0036588839
-
Viscoelastic fluid models derived from kinetic equations for polymers
-
Degond, P., Lemou, M., Picasso, M.: Viscoelastic fluid models derived from kinetic equations for polymers. SIAM J. Appl. Math. 62, 1501-1519 (2002)
-
(2002)
SIAM J. Appl. Math.
, vol.62
, pp. 1501-1519
-
-
Degond, P.1
Lemou, M.2
Picasso, M.3
-
24
-
-
0000195197
-
On long time asymptotics of the Vlasov-Poisson-Boltzmann equation
-
Desvillettes, L., Dolbeault, J.: On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Commun. Partial Differ. Equ. 16, 451-489 (1991)
-
(1991)
Commun. Partial Differ. Equ.
, vol.16
, pp. 451-489
-
-
Desvillettes, L.1
Dolbeault, J.2
-
25
-
-
33644946843
-
Self-propelled particles with soft-core interactions: Patterns, stability and collapse
-
D'Orsogna, M.R., Chuang, Y.L., Bertozzi, A.L., Chayes, L.: Self-propelled particles with soft-core interactions: patterns, stability and collapse, Phys. Rev. Lett. (2006)
-
(2006)
Phys. Rev. Lett.
-
-
D'Orsogna, M.R.1
Chuang, Y.L.2
Bertozzi, A.L.3
Chayes, L.4
-
28
-
-
44249086774
-
-
in preparation
-
Gautrais, J., Motsch, S., Jost, C., Soria, M., Campo, A., Fournier, R., Bianco, S., Théraulaz, G.: Analyzing fish movement as a persistent turning walker (in preparation)
-
Analyzing Fish Movement As A Persistent Turning Walker
-
-
Gautrais, J.1
Motsch, S.2
Jost, C.3
Soria, M.4
Campo, A.5
Fournier, R.6
Bianco, S.7
Théraulaz, G.8
-
29
-
-
84974759770
-
Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac
-
Golse, F., Poupaud, F.: Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac. Asymptot. Anal. 6, 135-160 (1992)
-
(1992)
Asymptot. Anal.
, vol.6
, pp. 135-160
-
-
Golse, F.1
Poupaud, F.2
-
31
-
-
17444437767
-
Onset of collective and cohesive motion
-
Grégoire, G., Chaté, H.: Onset of collective and cohesive motion. Phys. Rev. Lett. 92, 025702 (2004)
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 025702
-
-
Grégoire, G.1
Chaté, H.2
-
32
-
-
0002236459
-
Logarithmic Sobolev Inequalities and Contractivity Properties of Semigroups
-
Springer Berlin
-
Gross, L.: Logarithmic Sobolev Inequalities and Contractivity Properties of Semigroups. Lectures Notes in Mathematics, vol. 1563. Springer, Berlin (1992), pp. 54-88
-
(1992)
Lectures Notes in Mathematics
, vol.1563
, pp. 54-88
-
-
Gross, L.1
-
33
-
-
0035470907
-
Traffic and related self-driven many-particle systems
-
Helbing, D.: Traffic and related self-driven many-particle systems. Rev. Mod. Phys. 73, 1067-1141 (2001)
-
(2001)
Rev. Mod. Phys.
, vol.73
, pp. 1067-1141
-
-
Helbing, D.1
-
34
-
-
0242522198
-
A model of animal movements in a bounded space
-
Jeanson, R., Blanco, S., Fournier, R., Deneubourg, J.L., Fourcassié, V., Theraulaz, G.: A model of animal movements in a bounded space. J. Theor. Biol. 225, 443-451 (2003)
-
(2003)
J. Theor. Biol.
, vol.225
, pp. 443-451
-
-
Jeanson, R.1
Blanco, S.2
Fournier, R.3
Deneubourg, J.L.4
Fourcassié, V.5
Theraulaz, G.6
-
35
-
-
38049033835
-
From individual to collective ant displacements in heterogenous environments
-
Jost, C., et al.: From individual to collective ant displacements in heterogenous environments. J. Theor. Biol. 250, 424-434 (2008)
-
(2008)
J. Theor. Biol.
, vol.250
, pp. 424-434
-
-
Jost, C.1
-
36
-
-
22544460249
-
Hydrodynamic model for a system of self-propelling particles with conservative kinematic constraints
-
Kulinskii, V.L., Ratushnaya, V.I., Zvelindovsky, A.V., Bedeaux, D.: Hydrodynamic model for a system of self-propelling particles with conservative kinematic constraints. Europhys. Lett. 71, 207-213 (2005)
-
(2005)
Europhys. Lett.
, vol.71
, pp. 207-213
-
-
Kulinskii, V.L.1
Ratushnaya, V.I.2
Zvelindovsky, A.V.3
Bedeaux, D.4
-
39
-
-
1342268227
-
Mutual interactions, potentials, and individual distance in a social aggregation
-
Mogilner, A., Edelstein-Keshet, L., Bent, L., Spiros, A.: Mutual interactions, potentials, and individual distance in a social aggregation. J. Math. Biol. 47, 353-389 (2003)
-
(2003)
J. Math. Biol.
, vol.47
, pp. 353-389
-
-
Mogilner, A.1
Edelstein-Keshet, L.2
Bent, L.3
Spiros, A.4
-
41
-
-
0036553052
-
The diffusion limit of transport equations II: Chemotaxis equations
-
Othmer, H.G., Hillen, T.: The diffusion limit of transport equations II: Chemotaxis equations. SIAM J. Appl. Math. 62, 1222-1250 (2002)
-
(2002)
SIAM J. Appl. Math.
, vol.62
, pp. 1222-1250
-
-
Othmer, H.G.1
Hillen, T.2
-
42
-
-
44249113178
-
Traffic rules of fish schools: A review of agent-based approaches
-
Cambridge University Press Cambridge
-
Parrish, J.K., Viscido, S.V.: Traffic rules of fish schools: a review of agent-based approaches. In: Hemelrijk, C.K. (ed.) Self-Organization and Complexity. Cambridge University Press, Cambridge (2003)
-
(2003)
Self-Organization and Complexity
-
-
Parrish, J.K.1
Viscido, S.V.2
Hemelrijk, C.K.3
-
43
-
-
0036018254
-
Self-organized fish schools: An examination of emergent properties
-
Parrish, J.K., Viscido, S.V., Grünbaum, D.: Self-organized fish schools: an examination of emergent properties. Biol. Bull. 202, 296-305 (2002)
-
(2002)
Biol. Bull.
, vol.202
, pp. 296-305
-
-
Parrish, J.K.1
Viscido, S.V.2
Grünbaum, D.3
-
45
-
-
84974753119
-
Diffusion approximation of the linear semiconductor equation: Analysis of boundary layers
-
Poupaud, F.: Diffusion approximation of the linear semiconductor equation: analysis of boundary layers. Asymptot. Anal. 4, 293-317 (1991)
-
(1991)
Asymptot. Anal.
, vol.4
, pp. 293-317
-
-
Poupaud, F.1
-
46
-
-
34249717886
-
Collective behaviour of self propelling particles with kinematic constraints; The relations between the discrete and the continuous description
-
Ratushnaya, V.I., Bedeaux, D., Kulinskii, V.L., Zvelindovsky, A.V.: Collective behaviour of self propelling particles with kinematic constraints; the relations between the discrete and the continuous description. Physica A 381, 39-46 (2007)
-
(2007)
Physica A
, vol.381
, pp. 39-46
-
-
Ratushnaya, V.I.1
Bedeaux, D.2
Kulinskii, V.L.3
Zvelindovsky, A.V.4
-
47
-
-
33646485522
-
Hydrodynamic model for the system of self propelling particles with conservative kinematic constraints; Two dimensional stationary solutions
-
Ratushnaya, V.I., Kulinskii, V.L., Zvelindovsky, A.V., Bedeaux, D.: Hydrodynamic model for the system of self propelling particles with conservative kinematic constraints; two dimensional stationary solutions. Physica A 366, 107-114 (2006)
-
(2006)
Physica A
, vol.366
, pp. 107-114
-
-
Ratushnaya, V.I.1
Kulinskii, V.L.2
Zvelindovsky, A.V.3
Bedeaux, D.4
-
48
-
-
0037162553
-
Spatial patterns in ant colonies
-
Theraulaz, G., et al.: Spatial patterns in ant colonies. Proc. Natl. Acad. Sci. 99, 9645-9649 (2002)
-
(2002)
Proc. Natl. Acad. Sci.
, vol.99
, pp. 9645-9649
-
-
Theraulaz, G.1
-
49
-
-
16244371027
-
Swarming patterns in a two-dimensional kinematic model for biological groups
-
Topaz, C.M., Bertozzi, A.L.: Swarming patterns in a two-dimensional kinematic model for biological groups. SIAM J. Appl. Math. 65, 152-174 (2004)
-
(2004)
SIAM J. Appl. Math.
, vol.65
, pp. 152-174
-
-
Topaz, C.M.1
Bertozzi, A.L.2
-
50
-
-
33748692474
-
A nonlocal continuum model for biological aggregation
-
Topaz, C.M., Bertozzi, A.L., Lewis, M.A.: A nonlocal continuum model for biological aggregation. Bull. Math. Biol. 68, 1601-1623 (2006)
-
(2006)
Bull. Math. Biol.
, vol.68
, pp. 1601-1623
-
-
Topaz, C.M.1
Bertozzi, A.L.2
Lewis, M.A.3
-
51
-
-
0001730998
-
Novel type of phase transition in a system of self-driven particles
-
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., Shochet, O.: Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75, 1226-1229 (1995)
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 1226-1229
-
-
Vicsek, T.1
Czirók, A.2
Ben-Jacob, E.3
Cohen, I.4
Shochet, O.5
|