Haïm Brezis: a common determine who boosted rising Spanish arithmetic | Science | EUROtoday

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On July seventh, one of the vital eminent mathematicians of the twentieth century, Haïm Brezis, handed away. He mixed a rare capability for mathematical evaluation and the research of differential equations that govern the processes that mannequin trendy science. As Galileo stated, the e-book of nature is written within the language of arithmetic. This peculiarity is aware of no borders, nor does it know of fashions, wars, or the assorted human actions that create the “changing present.” The work left to us by Haïm Brezis (born in Riomès-Montagnes, France, June 1, 1944) is a superb instance of such a union between pure magnificence and sensible utility.

Brezis was educated in pure arithmetic, but additionally occupied with modelling and fixing non-linear issues from different sciences, engineering, picture processing, and so forth., and he had a prodigious thoughts that might see the place others couldn’t. His progressive strategy to classical issues allowed him to go additional than different authors. His visionary creativity was mixed with an unerring intuition for detecting what was vital. Brezis is related to ideas from the evaluation of non-linear equations, corresponding to maximal monotone operators, non-linear semigroups of contraction, variational inequalities, options with compact assist, Ginzburg equations, and so forth. His collaboration with the greats of his time was at all times very fruitful: J. L. Lions, F. E. Browder, G. Stampacchia, M. G. Crandall, E. Lieb, T. Kato and L. Nirenberg, amongst many others.

Brezis was a common determine: a professor on the University of Paris VI (from 1972 till his retirement in 2009), his extraordinary vitality and talent allowed him to double his providers throughout one semester and spend the following semester visiting different international locations, particularly the United States (he was a part-time professor at Rutgers University from 1987) and Israel, the place his household resided.

His affect amongst mathematicians of his technology and particularly people who adopted was distinctive for a discipline like arithmetic, so totally different from different experimental sciences. According to him Mathematics Genealogy Projectdirected 52 doctoral theses and had 1,161 scientific descendants. Among them are winners of the Fields Medal, college rectors and distinguished specialists from greater than 16 international locations. His “Spanish school” figures prominently.

His private contribution to the progress and worldwide recognition of younger Spanish mathematicians was very particular and had a singular strategic significance, because it acted as a set off after which expanded to different areas: it started within the mid-seventies with the doctoral theses of the authors of this obituary (in 1976 and 1979, respectively) to which had been added these of J. Hernández (1977), M. A. Herrero (1979), J. Carrillo (1981) and M. Escobedo (1988). His contribution to the coaching of many different Spaniards was additionally excellent (X. Cabré (1998), D. Gómez-Castro (2015), and so forth.). Brezis's nice contribution was the intense care he took within the analysis careers of his college students, inserting them into a global group that fostered analysis collaboration that hardly existed in our nation.

For all these causes, his providers had been acknowledged with a mess of honors and awards. His work in Spain was acknowledged along with his appointment as a overseas member of the Royal Academy of Sciences in 1999. In 2001 he was awarded a doctorate. Honorary by the Autonomous University of Madrid. It is evident from his dedication to Spanish arithmetic that he was the primary driving drive behind the settlement between the French and Spanish Academies of Sciences signed in Paris in 2002 (the primary settlement within the historical past of our nation) and the holding in Paris in 2003 of a joint Congress between the 2 academies.

His books, written in a method of nice magnificence and readability, stay textbooks in quite a few universities around the globe. His mark will stay without end and serve for instance for generations to come back.

Jesus Ildefonso Diaz y Juan Luis Vazquez. Emeritus Professors of the Complutense University of Madrid and the Autonomous University of Madrid, respectively. Academicians of the Royal Academy of Sciences of Spain.

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