SISSA – International School for Advanced Studies
Conservation Laws
Members of the research group
Main external collaborators
- D. Amadori (L'Aquila)
- F. Ancona (Bologna)
- P. Baiti (Udine)
- A. Bressan (Penn State University)
- G.M. Coclite (CMA Oslo)
- R.M. Colombo (Brescia)
- G. Guerra (Milano)
- H.K. Jenssen (North Carolina State University)
- P.G. LeFloch (Paris)
- T.P. Liu (Stanford)
- A. Marson (Padova)
- B. Piccoli (I.A.C., CNR, Roma)
- F. S. Priuli (Padova)
- C. Sinestrari (Roma)
- L. V. Spinolo (Northwestern University)
- T. Yang (Hong Kong)
Nonlinear Hyperbolic PDEs, Dispersive and Transport Equations: Analysis and Control
Invited Professors for the Trimester (May 16 - July 22, 2011)
- P. Constantin
- J.M. Coron
- J.F. Coulumbel
- M. Csornej
- V. Elling
- Y. Brenier
- A. Figalli
- D.H. Fremlin
- I. Lasiecka
- A. Pratelli
- G. Staffilani
- K.T. Sturm
- L. Szekelyhidi
- R. Triggiani
- M. Westdickenberg
- Z. Xin
Research topics
- Hyperbolic Systems of Conservation Laws in One Space Dimension
- Fundamental theory: existence, uniqueness and continuous dependence of weak entropy admissible solutions, characterization of semigroup trajectories
- Problems with large BV data, blow-up of BV norm, local existence and uniqueness
- Structure of solutions, local behavior, structural stability, generalized shift-differentiability w.r.t. parameters
- Initial-boundary problems, inhomogeneous balance laws, asymptotic blow-up patterns, global existence
- Convergence rates for approximation schemes: wave-front tracking, Glimm, finite element
- Vanishing viscosity approximations, a-priori estimates, convergence