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Volumn 211, Issue 1, 2014, Pages 335-358

Generalized Wasserstein Distance and its Application to Transport Equations with Source

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EID: 84891557737     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-013-0669-x     Document Type: Article
Times cited : (219)

References (20)
  • 1
    • 37649010339 scopus 로고    scopus 로고
    • Hamiltonian ODEs in the Wasserstein space of probability measures
    • Ambrosio L., Gangbo W.: Hamiltonian ODEs in the Wasserstein space of probability measures. Commun. Pure Appl. Math. 61(1), 18-53 (2008).
    • (2008) Commun. Pure Appl. Math. , vol.61 , Issue.1 , pp. 18-53
    • Ambrosio, L.1    Gangbo, W.2
  • 3
    • 42749093658 scopus 로고    scopus 로고
    • Introduction to the Mathematical Theory of Control
    • AIMS, Springfield
    • Bressan, A., Piccoli, B.: Introduction to the Mathematical Theory of Control. AIMS Series on Applied Mathematics. AIMS, Springfield, (2007).
    • (2007) AIMS Series on Applied Mathematics
    • Bressan, A.1    Piccoli, B.2
  • 4
    • 84455169463 scopus 로고    scopus 로고
    • Structured populations, cell growth and measure valued balance laws
    • Carrillo J. A., Colombo R. M., Gwiazda P., Ulikowska A.: Structured populations, cell growth and measure valued balance laws. J. Differ. Equ. 252, 3245-3277 (2012).
    • (2012) J. Differ. Equ. , vol.252 , pp. 3245-3277
    • Carrillo, J.A.1    Colombo, R.M.2    Gwiazda, P.3    Ulikowska, A.4
  • 5
    • 84878385199 scopus 로고    scopus 로고
    • Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
    • Crippa G., Lecureux-Mercier M.: Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow. Nonlinear Differ. Equ. Appl. NoDEA 20(3), 523-537 (2013).
    • (2013) Nonlinear Differ. Equ. Appl. NoDEA , vol.20 , Issue.3 , pp. 523-537
    • Crippa, G.1    Lecureux-Mercier, M.2
  • 6
    • 79955908614 scopus 로고    scopus 로고
    • Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
    • Cristiani E., Piccoli B., Tosin A.: Multiscale Modeling of Granular Flows with Application to Crowd Dynamics. Multiscale Model. Simul. 9, 155-182 (2011).
    • (2011) Multiscale Model. Simul. , vol.9 , pp. 155-182
    • Cristiani, E.1    Piccoli, B.2    Tosin, A.3
  • 8
    • 79957644840 scopus 로고    scopus 로고
    • Modeling Micro-Macro Pedestrian Counterflow in Heterogeneous Domains
    • Evers J., Muntean A.: Modeling Micro-Macro Pedestrian Counterflow in Heterogeneous Domains. Nonlinear Phenom. Complex Syst. 14(1), 27-37 (2011).
    • (2011) Nonlinear Phenom. Complex Syst. , vol.14 , Issue.1 , pp. 27-37
    • Evers, J.1    Muntean, A.2
  • 9
    • 77954540383 scopus 로고    scopus 로고
    • A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions
    • Figalli A., Gigli N.: A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions. Journal de Mathématiques Pures et Appliquées 94(2), 107-130 (2010).
    • (2010) Journal De Mathématiques Pures Et Appliquées , vol.94 , Issue.2 , pp. 107-130
    • Figalli, A.1    Gigli, N.2
  • 10
    • 77952241606 scopus 로고    scopus 로고
    • A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients
    • Gwiazda P., Lorenz T., Marciniak-Czochra A.: A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients. J. Differ. Equ. 248, 2703-2735 (2010).
    • (2010) J. Differ. Equ. , vol.248 , pp. 2703-2735
    • Gwiazda, P.1    Lorenz, T.2    Marciniak-Czochra, A.3
  • 11
  • 14
    • 84874873960 scopus 로고    scopus 로고
    • Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes
    • Piccoli B., Rossi F.: Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes. Acta Applicandae Mathematicae 124, 73-105 (2013).
    • (2013) Acta Applicandae Mathematicae , vol.124 , pp. 73-105
    • Piccoli, B.1    Rossi, F.2
  • 16
    • 79951811654 scopus 로고    scopus 로고
    • Time-evolving measures and macroscopic modeling of pedestrian flow
    • Piccoli B., Tosin A.: Time-evolving measures and macroscopic modeling of pedestrian flow. Arch. Ration. Mech. Anal. 199(3), 707-738 (2011).
    • (2011) Arch. Ration. Mech. Anal. , vol.199 , Issue.3 , pp. 707-738
    • Piccoli, B.1    Tosin, A.2
  • 17
    • 68149136534 scopus 로고    scopus 로고
    • Pedestrian flows in bounded domains with obstacles
    • Piccoli B., Tosin A.: Pedestrian flows in bounded domains with obstacles. Contin. Mech. Thermodyn. 21(2), 85-107 (2009).
    • (2009) Contin. Mech. Thermodyn. , vol.21 , Issue.2 , pp. 85-107
    • Piccoli, B.1    Tosin, A.2
  • 18
    • 80053101516 scopus 로고    scopus 로고
    • Existence and approximation of probability measure solutions to models of collective behaviors
    • Tosin A., Frasca P.: Existence and approximation of probability measure solutions to models of collective behaviors. Netw. Heterog. Media 6(3), 561-596 (2011).
    • (2011) Netw. Heterog. Media , vol.6 , Issue.3 , pp. 561-596
    • Tosin, A.1    Frasca, P.2
  • 20
    • 1542342359 scopus 로고    scopus 로고
    • Topics in Optimal Transportation
    • American Mathematical Society, Providence, RI
    • Villani, C.: Topics in Optimal Transportation. Graduate Studies in Mathematics, vol. 58. American Mathematical Society, Providence, RI, 2003.
    • (2003) Graduate Studies in Mathematics , vol.58
    • Villani, C.1


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