Archive for Rational Mechanics and Analysis

Last updated

Related Research Articles

<span class="mw-page-title-main">William Lawvere</span> American mathematician (1937–2023)

Francis William Lawvere was an American mathematician known for his work in category theory, topos theory and the philosophy of mathematics.

<span class="mw-page-title-main">Paul Neményi</span> Hungarian mathematician and physicist (1895–1952)

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.

<span class="mw-page-title-main">Clifford Truesdell</span> American mathematician (1919–2000)

Clifford Ambrose Truesdell III was an American mathematician, natural philosopher, and historian of science.

<span class="mw-page-title-main">Eberhard Hopf</span> German mathematician

Eberhard Frederich Ferdinand Hopf was a mathematician and astronomer, one of the founding fathers of ergodic theory and a pioneer of bifurcation theory who also made significant contributions to the subjects of partial differential equations and integral equations, fluid dynamics, and differential geometry. The Hopf maximum principle is an early result of his (1927) that is one of the most important techniques in the theory of elliptic partial differential equations.

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.

<span class="mw-page-title-main">Walter Noll</span> American mathematician

Walter Noll was a mathematician, and Professor Emeritus at Carnegie Mellon University. He is best known for developing mathematical tools of classical mechanics, thermodynamics, and continuum mechanics.

Roger Meyer Temam is a French applied mathematician working in numerical analysis, nonlinear partial differential equations and fluid mechanics. He graduated from the University of Paris – the Sorbonne in 1967, completing a doctorate under the direction of Jacques-Louis Lions. He has published over 400 articles, as well as 12 books.

<span class="mw-page-title-main">Gaetano Fichera</span> Italian mathematician

Gaetano Fichera was an Italian mathematician, working in mathematical analysis, linear elasticity, partial differential equations and several complex variables. He was born in Acireale, and died in Rome.

<span class="mw-page-title-main">Antonio Signorini (physicist)</span>

Antonio Signorini was an influential Italian mathematical physicist and civil engineer of the 20th century. He is known for his work in finite elasticity, thermoelasticity and for formulating the Signorini problem.

James Burton Serrin was an American mathematician, and a professor at University of Minnesota.

Jerald LaVerne Ericksen was an American mathematician specializing in continuum mechanics.

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.

Martin Feinberg is an American chemical engineer and mathematician known for his work in chemical reaction network theory.

Dario Graffi was an influential Italian mathematical physicist, known for his researches on the electromagnetic field, particularly for a mathematical explanation of the Luxemburg effect, for proving an important uniqueness theorem for the solutions of a class of fluid dynamics equations including the Navier-Stokes equation, for his researches in continuum mechanics and for his contribution to oscillation theory.

David Egorovich Dolidze was a Georgian and Soviet mathematician, known from his work in the mathematical theory of fluid motion. In particular he rediscovered an important uniqueness theorem for the classical solutions to the Navier–Stokes equations for an incompressible fluid, previously proved by Emanuele Foà.

Peter John Olver is a British-American mathematician working in differential geometry.

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.

Hisashi Okamoto is a Japanese applied mathematician, specializing in mathematical fluid mechanics and computational fluid dynamics.

Robert Ronald Jensen is an American mathematician, specializing in nonlinear partial differential equations with applications to physics, engineering, game theory, and finance.

References

  1. 1 2 Serrin, J. (2003). "An Appreciation of Clifford Truesdell". Journal of Elasticity. 70 (1–3): 31–74. doi:10.1023/B:ELAS.0000005611.25238.29..
  2. Capriz, G. (2000). "Obituary – Clifford Ambrose Truesdell (1919–2000)". Meccanica. 35 (5): 463–466. doi: 10.1023/A:1010368106989 . S2CID   115855559..