What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- General relativity
His primary scientific interests are in Mathematical analysis, Classical mechanics, Mathematical physics, Einstein and Applied mathematics.
His research on Mathematical analysis often connects related topics like Nonlinear system.
His work carried out in the field of Classical mechanics brings together such families of science as Structure, Matrix, Magnetohydrodynamics, Dirac and Dirac sea.
His Einstein research incorporates themes from Gravitation, Yang–Mills existence and mass gap and Gauge group.
His work focuses on many connections between Applied mathematics and other disciplines, such as Hyperbolic partial differential equation, that overlap with his field of interest in Conservation law.
His Partial differential equation research integrates issues from Boundary value problem, Linear equation, Conley index theory, Morse theory and Interval.
His most cited work include:
- Shock Waves and Reaction-Diffusion Equations (2921 citations)
- LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS* (267 citations)
- Global Bifurcation of Steady-State Solutions (210 citations)
What are the main themes of his work throughout his whole career to date?
Joel Smoller mainly focuses on Mathematical analysis, Mathematical physics, Classical mechanics, Black hole and Event horizon.
His research investigates the connection with Mathematical analysis and areas like Nonlinear system which intersect with concerns in Pure mathematics.
His work on Einstein and Gauge theory as part of general Mathematical physics study is frequently linked to Complex system, therefore connecting diverse disciplines of science.
His Classical mechanics research includes themes of Shock wave and Theoretical physics.
His Event horizon research is multidisciplinary, incorporating elements of Geometry and Schwarzschild radius.
The various areas that Joel Smoller examines in his Conservation law study include Riemann problem and Applied mathematics.
He most often published in these fields:
- Mathematical analysis (36.70%)
- Mathematical physics (25.23%)
- Classical mechanics (21.56%)
What were the highlights of his more recent work (between 2005-2017)?
- Classical mechanics (21.56%)
- Mathematical analysis (36.70%)
- Rotating black hole (8.26%)
In recent papers he was focusing on the following fields of study:
Joel Smoller mainly investigates Classical mechanics, Mathematical analysis, Rotating black hole, Mathematical physics and Event horizon.
His study in Classical mechanics is interdisciplinary in nature, drawing from both Stars, White dwarf and Dark energy.
He interconnects Matrix decomposition, Function and WKB approximation in the investigation of issues within Mathematical analysis.
The concepts of his Rotating black hole study are interwoven with issues in Scalar field and Wave equation.
His Mathematical physics study incorporates themes from Cosmology and Spacetime.
His Event horizon research incorporates elements of Initial value problem, Schwarzschild radius and Spin-½.
Between 2005 and 2017, his most popular works were:
- Decay of Solutions of the Wave Equation in the Kerr Geometry (141 citations)
- Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables (93 citations)
- Existence and Non-linear Stability of Rotating Star Solutions of the Compressible Euler–Poisson Equations (67 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- General relativity
His primary areas of investigation include Classical mechanics, Mathematical analysis, Angular momentum, Mathematical physics and Initial value problem.
His Classical mechanics study combines topics in areas such as Stars, White dwarf and Nonlinear system.
His Mathematical analysis research focuses on subjects like Symmetry, which are linked to A priori estimate.
His research integrates issues of Wave equation and Event horizon in his study of Mathematical physics.
His Event horizon study combines topics from a wide range of disciplines, such as Schwarzschild metric and Spin-½.
Joel Smoller has included themes like Scalar field, Wave packet, Rotating black hole and Penrose process in his Initial value problem study.
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.
