Claudio Baiocchi

Claudio Baiocchi (born 1940) is an Italian mathematician. He was a professor at the University of Pavia and since the 1990s he has been a professor of mathematical higher analysis at the Sapienza University.

He works 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). 1973: 1–82.
  • "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: "General existence theorems for unilateral problems in continuum mechanics". Archive for Rational Mechanics and Analysis. 100 (2): 149–189. 1988.
  • 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: "Virtual bubbles and Galerkin-least-squares type methods (Ga. LS)". Computer Methods in Applied Mechanics and Engineering. 105 (1): 125–141. 1993.

References

  1. ↑ Baiocchi, C. (1971). "Sur un problème à frontière libre traduisant le filtrage de liquides à travers des milieux poreux". C. R. Acad. Sci. Paris. 273: 1215–1217.
  2. ↑ Baiocchi, C. (1972). "Sur un problema di frontiera libera connesso a questioni di idraulica". Ann. Mat. Pura Appl. 92 (4): 107–127.
  3. ↑ Baiocchi, C.; Comincioli, V.; Magenes, E.; Pozzi, G.A. (1973). "Free boundary problems in the theory of the fluid through porous media: existence and uniqueness theorems". Ann. Mat. Pura Appl. 96 (4): 1–82.
  4. ↑ Baiocchi, C.; Morgenstern, Maurice. Cellular automata about the 3x+1 problem. Proc. LCCS 2001. University of Paris.
  5. ↑ Three small universal Turing machines, in: Machines, computations and universality, LN computer science 2055, Springer 2011, 1–10
  6. ↑ Member list of the Accademia Nazionale della Scienze detta dei XL
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