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| Lorenzo
Giacomelli Full Professor of Mathematical Analysis |
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| Interests Applied mathematics, mathematical modelling and analysis of nonlinear PDEs and free boundary problems arising from Physics and Engineering (Fluid Dynamics, Materials Science, Image Processing,...). Goals Well-posedness (existence, uniqueness, non-uniqueness phenomena, regularity), qualitative behavior of solutions (scaling laws, asymptotics, singular limits), formation and evolution of interfaces and singularities (speed of propagation, waiting time, blow-up). Methods Linear and nonlinear PDE (energy/entropy, maximal regularity), variational (semicontinuity and relaxation, blow-up, direct and indirect arguments), ODE, matched asymptotics. |
Address SBAI Department Sapienza U. Rome Via A. Scarpa, 16 00161 Roma - Italy Tel.: + 39 064976 6709 Fax: + 39 064976 6684 Skype: lorenzo-giacomelli Email SBAI Email istituzionale SAPIENZA |