Titolo | Pubblicato in | Anno |
---|---|---|
Metastable dynamics for hyperbolic variations of the Allen-Cahn equation | COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2017 |
Metastability for nonlinear convection–diffusion equations | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2017 |
Asymptotic expansion for harmonic functions in the half-space with a pressurized cavity | MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016 |
Exact representation of the asymptotic drift speed and diffusion matrix for a class of velocity-jump processes | JOURNAL OF DIFFERENTIAL EQUATIONS | 2016 |
Analytical and numerical invesigation of traveling waves for an Allen–Cahn model with relaxation | MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES | 2016 |
Stability analysis for linear heat conduction with memory kernels described by Gamma functions | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015 |
Twenty-eight years with “Hyperbolic Conservation Laws with Relaxation” | ACTA MATHEMATICA SCIENTIA | 2015 |
Area: Evolutive partial differential equations.
General aim: understanding and description of dynamical properties generated by the interaction of terms corresponding to physical, chemical and biological phenomena (reaction, diffusion, convection, chemotaxis...)
Specifically, the main research directions are:
- Conservation laws: asymptotic behavior, stability and instability, singular limits
- Evolution equations: well-posedness, formation of discontinuities, front propagation
- Differential models: radiating gases, phase transitions, shallow water
- Biomathematics: tumor growth, chemotaxis, invasive fronts
© Università degli Studi di Roma "La Sapienza" - Piazzale Aldo Moro 5, 00185 Roma