Paola GOATIN's publications

You can look at My citations on Google Scholar.

Referred Journals

[1] N. El-Khatib, P. Goatin and M.D. Rosini, On entropy weak solutions of Hughes' model for pedestrian motion, Z. Angew. Math. Phys., to appear.

[2] M. Garavello and P. Goatin, The Cauchy problem at a node with buffer, Discrete Contin. Dyn. Syst. Ser. A 32(6) (2012), 1915-1938.

[3] M. Garavello and P. Goatin, The Aw-Rascle traffic model with locally constrained flow, J. Math. Anal. Appl. 378(2) (2011), 634-648.

[4] R.M. Colombo, P. Goatin and M.D. Rosini, On the modeling and management of traffic, ESAIM: M2AN 45 (2011), 853-872.

[5] S. Blandin, D. Work, P. Goatin, B. Piccoli and A. Bayen, A general phase transition model for vehicular traffic, SIAM J. Appl. Math., 71(1) (2011), 107-127.

[6] B. Andreianov, P. Goatin and N. Seguin, Finite volume schemes for constrained conservation laws, Numer. Math. 115(4) (2010), 609-645.

[7] R.M. Colombo, P. Goatin and B. Piccoli, Road networks with phase transitions, J. Hyperbolic Differ. Equ. 7(1) (2010), 85-106.

[8] C. Chalons and P. Goatin, Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling, Interfaces and Free Boundaries, 10 (2) (2008), 195-219.

[9] C. Chalons and P. Goatin, Transport-Equilibrium schemes for computing contact discontinuities in traffic flow modeling, Comm. Math. Sci. 5 (3) (2007), 533-551.

[10] R.M. Colombo and P. Goatin, A well posed conservation law with a variable unilateral constraint, J. Differential Equations 234 (2007), 654-675.

[11] R.M. Colombo, P. Goatin and F. Priuli, Global well posedness of a traffic flow model with phase transitions, Nonlinear Anal. Ser. A: Theory, Methods & Applications, 66 (2007) 11, 2413-2426.

[12] P. Goatin, The Aw-Rascle vehicular traffic flow model with phase transitions, Math. Comput. Modeling 44 (2006), 287-303.

[13] P. Goatin and P.G. LeFloch, The Riemann problem for a class of resonant hyperbolic systems of balance laws, Ann. Inst. H. Poincaré (C) Nonlinear Analysis 21 (2004) 6, 881-902.

[14] P. Goatin and L. Gosse, Decay of positive waves for $n \times n$ Hyperbolic systems of balance laws, Proc. AMS. 132 (2004) 6, 1627-1637.

[15] P. Goatin and P.G. LeFloch, L${}^1$ continuous dependence for the Euler equations of compressible fluids dynamics, Comm. Pure Appl. Anal. 2 (2003) 1, 107-137.

[16] P. Goatin, One sided estimates and uniqueness for hyperbolic systems of balance laws, Math. Models Methods Appl. Sci. 13 (2003) 4, 527-543.

[17] F. Ancona and P. Goatin, Uniqueness and stability of $L^\infty$ solutions for Temple class systems with boundary and properties of the attainable sets, SIAM Journal Math. Anal. 34 (2002) 1, 28-63.

[18] P. Goatin and P.G. LeFloch, Sharp L${}^1$ continuous dependence of solutions of bounded variation for hyperbolic systems of conservation laws, Arch. Rational Mech. Anal. 157 (2001) 1, 35-73.

[19] P. Goatin and P.G. LeFloch, Sharp L${}^1$ stability estimates for hyperbolic conservation laws, Portugaliae Math. 58 (2001), 77-120.

[20] A. Bressan and P. Goatin, Stability of L${}^\infty$ solutions of Temple class systems, Differ. Integ. Equat. 13 (2000), 1503-1528.

[21] M. Bardi, P. Goatin and H. Ishii, A Dirichlet type problem for nonlinear degenerate elliptic equations arising in time-optimal stochastic control, Adv. Math. Sci. Appl. 10 (2000), 329-352.

[22] A. Bressan and P. Goatin, Oleinik type estimates and uniqueness for $n\times n$ conservation laws, J. Differential Equations 156 (1999), 26-49.

Book Chapter

[1] M. Bardi and P. Goatin, Invariant sets for controlled degenerate diffusions: a viscosity solutions approach, Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H.~Fleming, Birkhauser (1998), pp. 191-208.

Conference Proceedings

[1] R.M. Colombo, P. Goatin, G. Maternini and M.D. Rosini, Macroscopic Models for Pedestrian Flows, in Proceedings of the International Conference Big Events and Transport, Venice. Editors: IUAV -- TTL Research Unit, p. 11-22, 2010.

[2] S. Blandin, D. Work, P. Goatin, B. Piccoli and A. Bayen, A class of perturbed Cell-Transmission models to account for traffic variability, Transportation Research Board 89th Annual Meeting, Washington, DC, Jan. 10-14 (2010).

[3] R.M. Colombo, P. Goatin and M.D. Rosini, A macroscopic model for pedestrian flows in panic situations, Gakuto Internat. Ser. Math. Sci. Appl., 32 (2010), 255-272.

[4] R.M. Colombo, P. Goatin, G. Maternini and M.D. Rosini, Using conservation Laws in Pedestrian Modeling, in ``Transport Management and Land-Use Effects in Presence of Unusual Demand", Atti del convegno SIDT 2009, p. 73-79. L. Mussone, U. Crisalli editori. Giugno 2009.

[5] R.M. Colombo, P. Goatin and M.D. Rosini, Conservation laws with unilateral constraints in traffic modeling, in ``Applied and Industrial Mathematics in Italy III", E. De Bernardis, R. Spigler, V. Valente editori. Series on Advances in Mathematics for Applied Sciences, 82 (2009), 244-255.

[6] P. Goatin, Traffic flow models with phase transitions on road networks, Netw. Heterog. Media 4 (2) (2009), 287-301.

[7] P. Goatin, Analysis and numerical approximation of a traffic flow model with phase transitions, Mathematisches Forschungsinstitut Oberwolfach Report No. 11/2008,.

[8] C. Chalons and P. Goatin, Computing phase transitions arising in traffic flow modeling, in "Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the eleventh international conference in Lyon, July 2006", Springer (2008), 559-566.

[9] P. Goatin, Modeling a bottleneck by the Aw-Rascle model with phase transitions, Traffic and Granular Flow '05, Springer (2007), 587-593.

[10] R.M. Colombo and P. Goatin, Traffic flow models with phase transitions, Flow Turbulence Combust, 76 (2006), 383-390.

[11] P. Goatin, Stability for Temple class systems with L${}^\infty$ boundary data, ``Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, February, March 2000'' Birkhäuser Vol. 1. (2001) pp.435-444.

THESIS

P. Goatin, Analyse et approximation numérique de quelques modèles macroscopiques de trafic routier, HDR Thesis, Université du Sud Toulon - Var (2009).

P. Goatin, On uniqueness and stability for systems of conservation laws, Ph.D. Thesis, SISSA-ISAS (2000).

P. Goatin, Sul problema di Dirichlet con condizioni al bordo generalizzate per equazioni ellittiche degeneri non lineari, Degree Thesis, Università di Padova (1995).