Cv Main Page Teachings Miscellaneous

Publications:

  1. Traffic flow modelling with junctions, published at JMAA in September 2008 (doi, Pdf).
  2. Stability and total variation estimates on general scalar balance laws, joint work with Rinaldo M. Colombo and Massimiliani D. Rosini, published at Communication in Math Science in 2009 (doi).
  3. Control of the continuity equation with a non-local flow , joint work with Rinaldo M. Colombo and Michael Herty, accepted to ESAIM-COCV ( doi, arXiv, Pdf).
  4. Global smooth solutions of Euler equations for Van der Waals gases, accepted at SIAM Journal of Mathematical Analysis (doi, Pdf, arXiv).
  5. Improved stability estimates on general scalar balance laws, accepted at J. Hyperbolic Differntial Equations (arXiv).
    Erratum. See the corrected version (Pdf). The term κ* (in theorem 2.5) is changed (mistake in the estimation of the term K_3, p.20).
  6. An Analytical Framework to Describe the Interactions Between Individuals and a Continuum, in collaboration with Rinaldo M. Colombo, to appear on J. Nonlinear Sciences (Pdf, arXiv).
  7. A class of non-local models for pedestrian traffic, in collaboration with Rinaldo M. Colombo et Mauro Garavello, to appear on M3AS (Pdf).
  8. Nonlocal Crowd Dynamics Models for Several Populations, in collaboration with Rinaldo M. Colombo , To appear on Acta Mathematica Scientia (Pdf, arXiv).
  9. Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow, in collaboration with Gianluca Crippa, to appear on NDEA(Pdf).
  10. A priori estimates and analytical construction of shock waves in the gas dynamics (Pdf, arXiv).

Proceedings and Compte-rendus:

  1. Stability estimates on general scalar balance laws, joint work with Rinaldo M. Colombo and Massimiliani D. Rosini, published at CRAS in January 2009 (doi).
  2. L1 Stability for scalar balance laws; Application to pedestrian traffic, Proceedings de la conférence HYP 2010, ŕ Pékin (Pdf).
  3. Stability of scalar balance laws and Scalar non-local conservation laws, Proceeding of the conference Hyperbolic Month in Parma, (Pdf).
  4. Non-local Crowd Dynamics, to appear on CRAS, in collaboration with Rinaldo M. Colombo and Mauro Garavello (Pdf).
  5. Conservation laws with a non-local flow, Application to Pedestrian traffic , Proceedings de la conférence CEMRACS 2011, ŕ Luminy (Pdf).
  6. Conservation laws in the modeling of moving crowds (Pdf, arXiv), Proceeding of the conference hyp2012 that was held in Padova in June 2012, in collaboration with Rinaldo M. Colombo, Mauro Garavello (DISTA), Nikolay Pogodaev (ISDCT).

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