Citation: Paola Goatin, Matthias Mimault. A mixed system modeling two-directional pedestrian flows[J]. Mathematical Biosciences and Engineering, 2015, 12(2): 375-392. doi: 10.3934/mbe.2015.12.375
[1] | SIAM J. Appl. Math., 46 (1986), 1000-1017. |
[2] | European J. Appl. Math., 14 (2003), 587-612. |
[3] | Netw. Heterog. Media, 6 (2011), 401-423. |
[4] | Q. Appl. Math., XVIII (1960), 191-204. |
[5] | Oxford Lecture Series in Mathematics and its Applications, 20, Oxford University Press, Oxford, 2000. |
[6] | Technical report, ETH Zürich, 2006. |
[7] | SIAM J. Numer. Anal., 30 (1993), 675-700. |
[8] | Arch. Rational Mech. Anal., 88 (1985), 223-270. |
[9] | in Handbook of numerical analysis, Vol. VII, Handb. Numer. Anal., VII, North-Holland, Amsterdam, (2000), 713-1020. |
[10] | Appl. Math. Modelling, 13 (1989), 618-631, |
[11] | Ph.D thesis, ETH Zürich dissertation Nr. 21025, 2013. |
[12] | arXiv:1402.0909. |
[13] | Z. Angew. Math. Phys., 46 (1995), 913-931. |
[14] | Environment and Planning B, 28 (2001), 361-383. |
[15] | in Nonlinear Evolution Equations That Change Type, IMA Vol. Math. Appl., 27, Springer, New York, 1990, 67-78. |
[16] | SIAM J. Appl. Math., 48 (1988), 1009-1032. |
[17] | Z. Angew. Math. Mech., 75 (1995), 571-581. |
[18] | Confluentes Math., 3 (2011), 445-470. |
[19] | Comm. Pure Appl. Math., 13 (1960), 217-237. |
[20] | Trans. Amer. Math. Soc., 199 (1974), 89-112. |
[21] | PLoS Comput. Biol., 8 (2012), e1002442. |
[22] | J. Comput. Phys., 56 (1984), 363-409. |
[23] | in Nonlinear analysis and mechanics: Heriot-Watt Symposium, Vol. IV, Res. Notes in Math., 39, Pitman, Boston, Mass.-London, 1979, 136-212. |
[24] | Ph.D Thesis, University of Houston, Houston, 1992. 68 pp. |