2023 - Research.com Mathematics in United States Leader Award
2023 - Research.com Mechanical and Aerospace Engineering in United States Leader Award
2013 - Fellow of the American Mathematical Society
1996 - Wolf Prize in Mathematics for his profound and innovative contributions, in particular to electromagnetic, optical, and acoustic wave propagation and to fluid, solid, quantum and statistical mechanics.
1988 - US President's National Medal of Science "For his outstanding contribution to the geometrical theory of diffraction. This is a major extension of geometrical optics which succeeds, after many centuries, in adding the physics of diffraction to the simple ray concepts of optics and of other wave motions.", Presented by President Reagan in a White House ceremony on July 15, 1988.
1984 - Timoshenko Medal, The American Society of Mechanical Engineers
1983 - John von Neumann Lecturer
1981 - A.C. Eringen Medal
1973 - Member of the National Academy of Sciences
Joseph B. Keller mostly deals with Mathematical analysis, Mechanics, Boundary value problem, Classical mechanics and Differential equation. His study in Neumann boundary condition, Poincaré–Steklov operator, Robin boundary condition, Mixed boundary condition and Wave equation is carried out as part of his Mathematical analysis studies. In his study, Free surface is inextricably linked to Surface tension, which falls within the broad field of Mechanics.
His biological study spans a wide range of topics, including Series expansion, Neutron, Eigenvalues and eigenvectors and Diffusion equation. His Classical mechanics research is multidisciplinary, incorporating perspectives in Axial symmetry and Mechanical wave. His Differential equation research incorporates elements of Partial differential equation and Nonlinear system.
The scientist’s investigation covers issues in Mathematical analysis, Mechanics, Classical mechanics, Optics and Geometry. Boundary value problem, Differential equation, Wave equation, Partial differential equation and Mixed boundary condition are the primary areas of interest in his Mathematical analysis study. His Surface tension research extends to the thematically linked field of Mechanics.
His work deals with themes such as Wave propagation, Geometrical optics and Nonlinear system, which intersect with Classical mechanics. His study in Diffraction, Reflection and Wavelength is done as part of Optics. His research on Diffraction frequently links to adjacent areas such as Field.
His primary areas of investigation include Mathematical analysis, Mechanics, Boundary value problem, Classical mechanics and Optics. His study involves Mixed boundary condition, Neumann boundary condition, Partial differential equation, Asymptotic analysis and Differential equation, a branch of Mathematical analysis. He has included themes like Wetting, Plane and Radius in his Mechanics study.
His studies deal with areas such as Finite difference and Finite element method as well as Boundary value problem. His Classical mechanics research is multidisciplinary, incorporating elements of Reflection, Stokes flow, Axial symmetry and Plane wave. His Reflection study combines topics in areas such as Geometrical optics and Caustic.
Mathematical analysis, Boundary value problem, Mixed boundary condition, Robin boundary condition and Optics are his primary areas of study. His Mathematical analysis study integrates concerns from other disciplines, such as Method of fundamental solutions, Wigner distribution function and Random media. His Boundary value problem research incorporates themes from Term and Mathematical economics.
His research in Mixed boundary condition tackles topics such as Neumann boundary condition which are related to areas like Singular boundary method, Free boundary problem, Isotropy and Wave equation. His study in Optics is interdisciplinary in nature, drawing from both Conservative vector field, Rectification and Bubble. The study incorporates disciplines such as Wave propagation and Mechanics in addition to Boussinesq approximation.
This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.
Geometrical Theory of Diffraction
Joseph B. Keller.
Journal of the Optical Society of America (1962)
The transverse force on a spinning sphere moving in a viscous fluid
S. I. Rubinow;Joseph B. Keller.
Journal of Fluid Mechanics (1961)
Bubble Oscillations of Large Amplitude
Joseph B. Keller;Michael Miksis.
Journal of the Acoustical Society of America (1979)
Exact non-reflecting boundary conditions
Joseph B. Keller;Dan Givoli.
Journal of Computational Physics (1989)
On solutions of δu=f(u)
J. B. Keller.
Communications on Pure and Applied Mathematics (1957)
Ocular dominance column development: analysis and simulation
Kenneth D. Miller;Joseph B. Keller;Michael P. Stryker.
Corrected bohr-sommerfeld quantum conditions for nonseparable systems
Joseph B. Keller.
Annals of Physics (1958)
Poroelasticity equations derived from microstructure
Robert Burridge;Joseph B. Keller.
Journal of the Acoustical Society of America (1981)
A Theorem on the Conductivity of a Composite Medium
Joseph B. Keller.
Journal of Mathematical Physics (1964)
Transport equations for elastic and other waves in random media
Leonid Ryzhik;George Papanicolaou;Joseph B. Keller.
Wave Motion (1996)
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