Research Interests:
 Hyperbolic conservation laws and nonlinear wave equations
 Modeling and optimization of traffic flow on networks
 Optimal control, noncooperative games, and applications to economics and finance
 PDE models of controlled biological growth
 Differential inclusions, dynamic blocking problems
 Impulsive control of Lagrangian systems by means of active constraints
Most of my papers on conservation laws are available from the NTNU Preprint Server in Trondheim, Norway.
Brief surveys of recent results and open problems
 Some research directions on onedimensional hyperbolic problems
 Research notes on traffic flow on networks
 Research notes on noncooperative games and applications
 Research themes on differential inclusions
 Results and open questions on dynamic blocking problems
Survey papers

Flows on networks: recent results and perspectives.
EMS Surveys in Mathematical Sciences, 1 (2014), 47111 (with
S.Canic, M.Garavello, M.Herty, and B.Piccoli)
 Globally optimal and Nash equilibrium
solutions for traffic flow on networks.
In: Hyperbolic Problems: Theory, Numerics and Applications,
AIMS, 2014.

Dynamic blocking problems for a model of fire propagation.
In Advances in Applied Mathematics, Modeling,
and Computational Science, pp.~1140.
R.Melnik and I.Kotsireas editors. Fields Institute Communications, Springer, New York, 2013.

Contractive metrics for nonsmooth evolutions.
In: Nonlinear Partial Differential Equations,
The Abel Symposium 2010,
pp.1336. H.Holden and K.Karlsen Eds.,
SpringerVerlag, 2012.

Open questions in the theory of hyperbolic conservation laws.
In: Nonlinear Conservation Laws and Applications, pp.122.
IMA Volumes in Mathematics and its Applications, Vol.153.
A.Bressan, G.Q.Chen, M.Lewicka, and D.Wang editors,
SpringerVerlag, 2011.
 Patchy feedbacks for
stabilization and optimal control.
In Geometric Control and
Nonsmooth Analysis, pp.2864. F.Ancona, A.Bressan, P.Cannarsa,
F.H.Clarke and P.Wolenski
Eds., World Scientific 2008 (with F.Ancona).

Impulsive control of Lagrangian systems and locomotion in fluids,
Discr. Cont. Dynam. Syst. 20 (2008), 135.

Singularities of stabilizing feedbacks,
Rend. Sem. Mat. Univ. Pol. Torino 56 (1998), 87104.
 Differential inclusions without convexity. A survey of
directionally continuous selections,
in: Proceedings of the
World Congress of Nonlinear Analysts '92,
V.Lakshmikantham Ed.,
W.de Gruyter, Berlin (1996), 20812088.
Slides of recent talks
 Traffic models on a network of roads (2016)
 Models of controlled growth (2016)
 Noncooperative games (2016)
 Stability of solutions to infinitehorizon noncooperative differential games (2016)
 Well posedness for some classes of nonlinear wave equations (2016)
 Generic singularities of solutions to some nonlinear wave equations (2016)
 Recent trends in differential inclusions (2016)

Optima and equilibria for a model
of traffic flow (2013)
(animation: Model 1) (animation: Model 2) (animation: instability of Nash equilibrium, Model 2) 
Dynamic blocking problems
for a model of fire propagation (2011)
(animation: onespiral strategy) (animation: onespiral strategy) (animation: nonisotropic case)  Controlling Lagrangian systems by active constraints (2010)