Robert V. Kohn
| Robert V. Kohn | |
|---|---|
| Born | 1953 (age 62–63) |
| Residence | United States |
| Nationality | American |
| Fields | Mathematics |
| Institutions | Courant Institute of Mathematical Sciences |
| Alma mater |
Harvard University Princeton University |
| Doctoral advisor | Frederick J. Almgren, Jr. |
| Known for | Caffarelli–Kohn–Nirenberg inequalities |
| Notable awards |
Sloan Fellow (1984) ICM Plenary Lecturer (2006) AMS Fellow (2012) Leroy P. Steele Prize (2014) |
Robert V. Kohn (born in 1953) is an American mathematician working on partial differential equations, calculus of variations, mathematical materials science, and mathematical finance. He is a professor at the Courant Institute of Mathematical Sciences, New York University.[1]
Biography
Kohn studied mathematics at Harvard University, obtaining his bachelor's degree in 1974. He obtained his Ph.D. at Princeton University in 1979, as a student of Frederick Almgren.[2][3]
Work
Kohn is best known for his works on non-linear partial differential equations, specially the ones with Louis Nirenberg and Luis Caffarelli, where they obtained partial results about the regularity of weak solutions of the Navier–Stokes equations.[4]
Honors
He received a Sloan Fellowship in 1984.[5] In 2006, he was a plenary speaker at the International Congress of Mathematicians, in Madrid (Energy driven pattern formation).[6] He is a fellow of the American Mathematical Society.[7]
Selected publications
- with L. Caffarelli and L. Nirenberg: "Partial regularity of suitable weak solutions of the Navier–Stokes equations", Communications on Pure and Applied Mathematics, n. 35 i. 6, pp. 771–831.
- with L. Caffarelli and L. Nirenberg, "First order interpolation inequalities with weights", Compositio Mathematica n. 53 i. 3, pp. 259–275.
- with Gilbert Strang, "Optimal design and relaxation of variational problems, I", Communications on Pure and Applied Mathematics, n. 39 i. 1, pp. 113–137.