James Thomas Beale

James Thomas (J. Thomas "Tom") Beale (born 1947) is an American mathematician, specializing in fluid dynamics, partial differential equations, and numerical analysis.[1]

J. Thomas Beale grew up in Savannah, Georgia.[2] In 1967 he graduated from California Institute of Technology (Caltech) with a B.S. in mathematics.[3] In 1973 he received his PhD in mathematics from Stanford University. His PhD thesis Purely imaginary scattering frequencies for exterior domains.[4] was written under the supervision of Ralph S. Phillips.[5] Soon after receiving his PhD Beale became a faculty member at Tulane University. In 1983 he resigned from Tulane University and became a professor at Duke University, where he retired as professor emeritus in 2016.[6]

His 1984 article with Tosio Kato and Andrew Majda, Remarks on the breakdown of smooth solutions for the 3-D Euler equations (Comm. Math. Phys. 94 (1984), no. 1, 61–66) has been a very influential result in the study of singularities in fluid flows — one of the remaining open problems in the Clay Institute's Millennium problems. He has more than 50 scientific publications with many collaborators and covering areas including water waves, vortex methods, quasi-geostrophic models of the atmosphere and oceans, numerical splitting methods, and recent work in computational methods for nearly singular integrals.[1]

In 1994 Beale was an invited speaker with talk Analytical and numerical aspects of fluid interfaces at the International Congress of Mathematicians in Zurich.[7]

His research has centered on mathematical models of basic scientific problems, usually described by partial differential equations, such as fluid flow with moving interfaces. He has been interested in using mathematical analysis to understand the accuracy of numerical methods with the aim to improve their design, especially for those methods where solutions are represented by singular integrals.[6]

From June 28 to 30, 2010, the mathematics department of Duke University held a conference in his honor.[1]

Selected publications

References
  1. "Fluid dynamics, Analysis, and Numerics 2010: A conference in honor of J. Thomas Beale". Department of Mathematica, Duke University. June 2020.
  2. "Lillian Neidlinger Beale". Savannah Morning News. October 8, 2004.
  3. Seventy-Third Annual Commencement (PDF). California Institute of Technology. June 9, 1967.
  4. Beale, James Thomas (1973). Purely Imaginary Scattering Frequencies for Exterior Domains.
  5. James Thomas Beale at the Mathematics Genealogy Project
  6. "Professor J. Thomas Beale Retires". Department of Mathematics, Duke University. May 20, 2016.
  7. Beale, J. Thomas (1995). "Analytical and Numerical Aspects of Fluid Interfaces". Proceedings of the International Congress of Mathematicians, 1994, Zürich. Basel: Birkhäuser. pp. 1055–1064. doi:10.1007/978-3-0348-9078-6_98. ISBN 978-3-0348-9897-3.
  8. Broadwell, James E. (1964). "Shock Structure in a Simple Discrete Velocity Gas". Physics of Fluids. 7 (8): 1243. Bibcode:1964PhFl....7.1243B. doi:10.1063/1.1711368. ISSN 0031-9171.
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