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Volumn 9, Issue 3, 2011, Pages 1253-1275

Numerical simulations of a nonconservative hyperbolic system with geometric constraints describing swarming behavior

Author keywords

Geometric constraint; Hyperbolic systems; Individual based model; Nonconservative equation; Relaxation; Splitting scheme

Indexed keywords

GEOMETRIC CONSTRAINT; HYPERBOLIC SYSTEM; INDIVIDUAL BASED MODEL; NONCONSERVATIVE EQUATION; RELAXATION; SPLITTING SCHEME;

EID: 80054934662     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/100794067     Document Type: Article
Times cited : (26)

References (35)
  • 1
    • 0038403553 scopus 로고    scopus 로고
    • Phase transitions in self-driven many-particle systems and related nonequilibrium models: A network approach
    • M. ALDANA AND C. HUEPE, Phase transitions in self-driven many-particle systems and related nonequilibrium models: A network approach, J. Stat. Phys., 112 (2003), pp. 135-153.
    • (2003) J. Stat. Phys. , vol.112 , pp. 135-153
    • Aldana, M.1    Huepe, C.2
  • 4
    • 33845639159 scopus 로고    scopus 로고
    • Boltzmann and hydrodynamic description for self-propelled particles
    • E. BERTIN, M. DROZ, AND G. GRéGOIRE, Boltzmann and hydrodynamic description for self-propelled particles, Phys. Rev. E (3), 74 (2006), 22101.
    • (2006) Phys. Rev. E , vol.74 , Issue.3 , pp. 22101
    • Bertin, E.1    Droz, M.2    Grégoire, G.3
  • 7
    • 47049112379 scopus 로고    scopus 로고
    • Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
    • M. J. CASTRO, P. G. LEFLOCH, M. L. MUñOZ-RUIZ, AND C. PARéS, Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes, J. Comput. Phys., 227 (2008), 81078129.
    • (2008) J. Comput. Phys. , vol.227 , pp. 81078129
    • Castro, M.J.1    Lefloch, P.G.2    Muñoz-Ruiz, M.L.3    Parés, C.4
  • 8
    • 42449134506 scopus 로고    scopus 로고
    • Collective motion of self-propelled particles interacting without cohesion
    • H. CHATé, F. GINELLI, G. GRéGOIRE, AND F. RAYNAUD, Collective motion of self-propelled particles interacting without cohesion, Phys. Rev. E (3), 77 (2008), 46113.
    • (2008) Phys. Rev. E , vol.77 , Issue.3 , pp. 46113
    • Chaté, H.1    Ginelli, F.2    Grégoire, G.3    Raynaud, F.4
  • 9
    • 84990689276 scopus 로고
    • Hyperbolic conservation laws with sti relaxation and entropy
    • G. Q. CHEN, C. D. LEVERMORE, AND T. P. LIU, Hyperbolic conservation laws with sti relaxation and entropy, Comm. Pure Appl. Math., 47 (1994), p, 787.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 787
    • Chen, G.Q.1    Levermore, C.D.2    Liu, T.P.3
  • 10
    • 34347371566 scopus 로고    scopus 로고
    • State transitions and the continuum limit for a 2D interacting, self-propelled particle system
    • DOI 10.1016/j.physd.2007.05.007, PII S016727890700156X
    • Y. CHUANG, M. R. D'ORSOGNA, D.MARTHALER, A. L. BERTOZZI, AND L. S. CHAYES, State transitions and the continuum limit for a 2D interacting, self-propelled particle system, Phys. D, 232 (2007), pp. 33-47. (Pubitemid 47021228)
    • (2007) Physica D: Nonlinear Phenomena , vol.232 , Issue.1 , pp. 33-47
    • Chuang, Y.-l.1    D'Orsogna, M.R.2    Marthaler, D.3    Bertozzi, A.L.4    Chayes, L.S.5
  • 12
    • 39849084055 scopus 로고    scopus 로고
    • Flocking in noisy environments
    • F. CUCKER AND E. MORDECKI, Flocking in noisy environments, J. Math. Pures Appl. (9), 89 (2007), pp. 278-296.
    • (2007) J. Math. Pures Appl. , vol.89 , Issue.9 , pp. 278-296
    • Cucker, F.1    Mordecki, E.2
  • 14
    • 0000999888 scopus 로고    scopus 로고
    • Collective motion of self-propelled particles: Kinetic phase transition in one dimension
    • A. CziróK, A. L. BARABáSI, AND T. VICSEK, Collective motion of self-propelled particles: Kinetic phase transition in one dimension, Phys. Rev. Lett., 82 (1999), pp. 209-212. (Pubitemid 129661987)
    • (1999) Physical Review Letters , vol.82 , Issue.1 , pp. 209-212
    • Czirok, A.1    Barabasi, A.-L.2    Vicsek, T.3
  • 15
    • 0031557295 scopus 로고    scopus 로고
    • Spontaneously ordered motion of self-propelled particles
    • A. CziróK, H. E. STANLEY, AND T. VICSEK, Spontaneously ordered motion of self-propelled particles, J. Phys. A, 30 (1997), p. 1375.
    • (1997) J. Phys. A , vol.30 , pp. 1375
    • Czirók, A.1    Stanley, H.E.2    Vicsek, T.3
  • 16
    • 49449106913 scopus 로고    scopus 로고
    • Continuum limit of self-driven particles with orientation interaction
    • P. DEGOND AND S. MOTSCH, Continuum limit of self-driven particles with orientation interaction, Math. Models Methods Appl. Sci., 18 (2008), pp. 1193-1215.
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , pp. 1193-1215
    • Degond, P.1    Motsch, S.2
  • 17
    • 44249110728 scopus 로고    scopus 로고
    • Large scale dynamics of the persistent turning walker model of fish behavior
    • P. DEGOND AND S. MOTSCH, Large scale dynamics of the persistent turning walker model of fish behavior, J. Statist. Phys., 131 (2008), pp. 989-1021.
    • (2008) J. Statist. Phys. , vol.131 , pp. 989-1021
    • Degond, P.1    Motsch, S.2
  • 18
    • 77249106992 scopus 로고    scopus 로고
    • Congestion in a macroscopic model of self-driven particles modeling gregariousness
    • P. DEGOND, L. NAVORET, R. BON, AND D. SANCHEZ, Congestion in a macroscopic model of self-driven particles modeling gregariousness, J. Statist. Phys., 138 (2010), pp. 85-125.
    • (2010) J. Statist. Phys. , vol.138 , pp. 85-125
    • Degond, P.1    Navoret, L.2    Bon, R.3    Sanchez, D.4
  • 22
    • 17444437767 scopus 로고    scopus 로고
    • Onset of collective and cohesive motion
    • G. GRéGOIRE AND H. CHATé, Onset of collective and cohesive motion, Phys. Rev. Lett., 92 (2004), 25702.
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 25702
    • Grégoire, G.1    Chaté, H.2
  • 23
    • 69249175944 scopus 로고    scopus 로고
    • From particle to kinetic and hydrodynamic descriptions of flocking
    • S. Y. HA AND E. TADMOR, From particle to kinetic and hydrodynamic descriptions of flocking, Kinet. Relat. Models, 1 (2008), pp. 415-435.
    • (2008) Kinet. Relat. Models , vol.1 , pp. 415-435
    • Ha, S.Y.1    Tadmor, E.2
  • 25
    • 84968497746 scopus 로고
    • Why nonconservative schemes converge to wrong solutions: Error analysis
    • T. Y. HOU AND P. G. LE FLOCH, Why nonconservative schemes converge to wrong solutions: Error analysis, Math. Comp., 62 (1994), pp. 497-530.
    • (1994) Math. Comp. , vol.62 , pp. 497-530
    • Hou, T.Y.1    Le Floch, P.G.2
  • 26
    • 0026615712 scopus 로고
    • The simulation of the movement of fish schools
    • A. HUTH AND C. WISSEL, The simulation of the movement of fish schools, J. Theoret. Biol., 156 (1992), pp. 365-385. (Pubitemid 24408326)
    • (1992) Journal of Theoretical Biology , vol.156 , Issue.3 , pp. 365-385
    • Huth, A.1    Wissel, C.2
  • 27
    • 84946281240 scopus 로고
    • Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form
    • P. L. LEFLOCH, Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form, Comm. Partial Differential Equations, 13 (1988), pp. 669-727.
    • (1988) Comm. Partial Differential Equations , vol.13 , pp. 669-727
    • Lefloch, P.L.1
  • 31
    • 33750475185 scopus 로고    scopus 로고
    • New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion
    • DOI 10.1016/j.physa.2006.05.035, PII S0378437106006510
    • M. NAGY, I. DARUKA, AND T. VICSEK, New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion, Phys. A., 373 (2007), pp. 445-454. (Pubitemid 44647706)
    • (2007) Physica A: Statistical Mechanics and its Applications , vol.373 , pp. 445-454
    • Nagy, M.1    Daruka, I.2    Vicsek, T.3
  • 33
    • 33748692474 scopus 로고    scopus 로고
    • A nonlocal continuum model for biological aggregation
    • DOI 10.1007/s11538-006-9088-6
    • C. M. TOPAZ, A. L. BERTOZZI, AND M. A. LEWIS, A nonlocal continuum model for biological aggregation, Bull. Math. Biol., 68 (2006), pp. 1601-1623. (Pubitemid 44392962)
    • (2006) Bulletin of Mathematical Biology , vol.68 , Issue.7 , pp. 1601-1623
    • Topaz, C.M.1    Bertozzi, A.L.2    Lewis, M.A.3
  • 35
    • 0001730998 scopus 로고
    • Novel type of phase transition in a system of self-driven particles
    • T. VICSEK, A. CziróK, E.BEN-JACOB, I.COHEN, AND O. SHOCHET, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett., 75 (1995), pp. 1226-1229.
    • (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


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