Claudio Baiocchi

Claudio Baiocchi (August 20, 1940 – December 14, 2020) was an Italian mathematician. He was a professor at the University of Pavia and since the 1990s he was a professor of mathematical higher analysis at the Sapienza University.

He worked on partial differential equations and the calculus of variations. In 1971 he applied his mathematical methods to a free boundary problem in the filtration of liquids through porous media with applications in civil engineering (by using the Baiocchi transform).^[1][2][3]

His later research dealt with, among other topics, the Collatz problem,^[4] cellular automata and Turing machines.^[5]

In 1970 Baiocchi received the Caccioppoli Prize. In 1974 he was an invited speaker at the International Congress of Mathematicians in Vancouver. He was elected to the Accademia dei XL^[6] and the Accademia dei Lincei.

Selected publications

• with V. Comincioli, E. Magenes & G. A. Pozzi: "Free boundary problems in the theory of fluid flow through porous media: existence and uniqueness theorems". Annali di Matematica Pura ed Applicata. 97 (1): 1–82. 1973. doi:10.1007/bf02414909. S2CID 119934268.
• "Free boundary problems in the theory of fluid flow through porous media". Proc. Intern. Congress of Math. 2. 1974.
• with Antonio Capelo: Variational and quasivariational inequalities. Applications to free boundary problems. Chichester/New York, Wiley 1984.
• with G. Buttazzo, F. Gastaldi & F. Tomarelli: Baiocchi, Claudio; Buttazzo, Giuseppe; Gastaldi, Fabio; Tomarelli, Franco (1988). "General existence theorems for unilateral problems in continuum mechanics". Archive for Rational Mechanics and Analysis. 100 (2): 149–189. doi:10.1007/bf00282202. S2CID 121906311.
• with F. Brezzi & L. D. Marini; Stabilization of Galerkin methods and applications to domain decomposition (pp. 343-355). Berlin; Heidelberg: Springer. 1992.
• as editor with Jacques-Louis Lions: Boundary value problems for partial differential equations and applications. Dedicated to Enrico Magenes, Elsevier-Masson, 1993
• with F. Brezzi & L. P. Franca: Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P. (1993). "Virtual bubbles and Galerkin-least-squares type methods (Ga. LS)". Computer Methods in Applied Mechanics and Engineering. 105 (1): 125–141. doi:10.1016/0045-7825(93)90119-i.