Discipline | Mathematics |
---|---|
Language | English |
Edited by | Felix Otto and Vladimir Sverak |
Publication details | |
History | 1956–present |
Publisher | Springer |
2.793 (2020) | |
Standard abbreviations | |
ISO 4 | Arch. Ration. Mech. Anal. |
Indexing | |
ISSN | 0003-9527 (print) 1432-0673 (web) |
The Archive for Rational Mechanics and Analysis is a scientific journal that is devoted to research in mechanics as a deductive, mathematical science. The current editors in chief of the journal are Felix Otto and Vladimir Sverak. It was founded in 1956 by Clifford Truesdell when he moved from Indiana University to Johns Hopkins and lost control of a similar journal he had founded a few years previously, the Journal of Rational Mechanics and Analysis (now the Indiana University Mathematics Journal ). [1]
Gianfranco Capriz [2] writes that Truesdell's ideals of mathematical and typesetting rigor gave the new journal a high reputation:
The Archive for Rational Mechanics and Analysis became the hallmark in the field and young scholars sought publication of their best work there as the sign of their entry into an exclusive club of perfectionists.
James Serrin, a later editor of the Archive, adds that it became the center of a revival of mechanics as an academic discipline, and that by the time of Truesdell's retirement as editor in 1989 subscribing to it was "necessary for every fine scientific library". [1]
Francis William Lawvere was an American mathematician known for his work in category theory, topos theory and the philosophy of mathematics.
Paul Felix Neményi was a Hungarian mathematician and physicist who specialized in continuum mechanics. He was known for using what he called the inverse or semi-inverse approach, which applied vector field analysis, to obtain numerous exact solutions of the nonlinear equations of gas dynamics, many of them representing rotational flows of nonuniform total energy. His work applied geometrical solutions to fluid dynamics. In continuum mechanics, "Neményi's theorem" proves that, given any net of isothermal curves, there exists a five parameter family of plane stress systems for which these curves are stress trajectories.
Clifford Ambrose Truesdell III was an American mathematician, natural philosopher, and historian of science.
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The Indiana University Mathematics Journal is a journal of mathematics published by Indiana University. Its first volume was published in 1952, under the name Journal of Rational Mechanics and Analysis and edited by Zachery D. Paden and Clifford Truesdell. In 1957, Eberhard Hopf became editor, the journal name changed to the Journal of Mathematics and Mechanics, and Truesdell founded a separate successor journal, the Archive for Rational Mechanics and Analysis, now published by Springer-Verlag. The Journal of Mathematics and Mechanics later changed its name again to the present name.
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James Burton Serrin was an American mathematician, and a professor at University of Minnesota.
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Morton E. Gurtin was a mechanical engineer who became a mathematician and mathematical physicist. He was an emeritus professor of mathematical sciences at Carnegie-Mellon University, where for many years he held an endowed chair as the Alumni Professor of Mathematical Science. His main work is in materials science, in the form of the mathematical, rational mechanics of non-linear continuum mechanics and thermodynamics, in the style of Clifford Truesdell and Walter Noll, a field also known under the combined name of continuum thermomechanics. He has published over 250 papers, many among them in Archive for Rational Mechanics and Analysis, as well as a number of books.
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Eli Sternberg was a researcher in solid mechanics and was considered to be the "nation's leading elastician" at the time of his death. He earned his doctorate in 1945 under Michael Sadowsky at the Illinois Institute of Technology with a dissertation entitled Non-Linear Theory of Elasticity and Applications. He made contributions widely in elasticity, especially in mathematical analysis, the theory of stress concentrations, thermo-elasticity, and visco-elasticity.
Rational thermodynamics is a school of thought in statistical thermodynamics developed in the 1960s. Its introduction is attributed to Clifford Truesdell (1919–2000), Bernard Coleman and Walter Noll (1925–2017). The aim was to develop a mathematical model of thermodynamics that would go beyond the traditional "thermodynamics of irreversible processes" or TIP developed in the late 19th to early 20th centuries. Truesdell's "flamboyant style" and "satirical verve" caused controversy between "rational thermodynamics" and proponents of traditional thermodynamics.
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