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
- Flow of weakly differentiable vector fields
- Linear transport problems
Research Group
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Stefano Bianchini, Professor
Visiting Professors
Main External Collaborators
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Sara Daneri, Assistant professor at FAU, Erlangen
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Paolo Baiti, Università di Udine
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Graziano Guerra, Università di Milano - Bicocca
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Carlo Sinestrari, Università degli Studi di Roma 'Tor Vergata'
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Andrea Marson, Università degli Studi di Padova
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Fabio Simone Priuli, Università degli Studi di Padova
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Rinaldo M. Colombo, Università degli studi di Brescia
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Giuseppe Maria Coclite, Università degli studi di Bari
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Tai-Ping Liu, Stanford University
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Alberto Bressan, Penn State University, U.S.A.
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Laura Caravenna, Oxford Centre for Nonlinear PDE
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Shih-Hsien Yu, National University of Singapore
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Laura Valentina Spinolo, IMATI - CNR