Center for Interdisciplinary Mathematics
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Publications

On traffic flow

  1. A. Bressan and K. Han, Optima and equilibria for a model of traffic flow. SIAM J. Math. Anal., 43, (2011), 2384--2417.
  2. A. Bressan and K. Han, Nash equilibria for a model of traffic flow with several groups of drivers, ESAIM; Control, Optim. Calc. Var., 18 (2012), 969--986.

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On optimal control, game theory, and applications

  1. A. Bressan and B. Piccoli, Introduction to the Mathematical Theory of Control, AIMS Series in Applied Mathematics, Springfield Mo. 2007.
  2. A. Bressan, Noncooperative differential games. Milan J. of Mathematics, 79 (2011), 357--427.

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On collective motion and self-organization in living world

  1. M. Potomkin, M. Tournus, L. Berlyand, and I. Aranson, Flagella bending affects macroscopic properties of bacterial suspensions, Journal of the Royal Society Interface, accepted, (2017).
  2. S.D. Ryan, A. Sokolov, L. Berlyand, and I.S. Aranson, Collective dynamics in semidilute bacterial suspensions, New Journal of Physics 15 105021 (2013).

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On superconducting and superfluidity

  1. O. Iaroshenko, V. Rybalko, V. Vinokur and L. Berlyand, Vortex phase separation in mesoscopic superconductors, Scientific Reports: Nature Publishing, Group 3, 2013.
  2. L. Berlyand, P. Mironescu, V. Rybalko, and E. Sandier Minimax Critical Points in Ginzburg-Landau Problems with Semi-stiff Boundary Conditions: Existence and Bubbling, Comm. in PDEs 39(5) pp. 946-1005 (2014)

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On models of controlled biological growth

  1. A. Bressan and M. Lewicka, A model of controlled growth, Arch. Rational Mech. Anal., submitted.
  2. A. Bressan, M. Palladino and W. Shen, Growth models for tree stems and vines, J. Differential Equations, to appear.

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