Robert V. Kohn

Robert V. Kohn
Born	1953 (age 70–71)
Nationality	American
Alma mater	Harvard University Princeton University
Known for	Caffarelli–Kohn–Nirenberg inequalities
Awards	Sloan Research Fellow (1984) ICM Plenary Lecturer (2006) AMS Fellow (2012) Leroy P. Steele Prize (2014)
Scientific career
Fields	Mathematics
Institutions	Courant Institute of Mathematical Sciences
Doctoral advisor	Frederick J. Almgren Jr.
Doctoral students	Lia Bronsard

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.

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.

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.

Honors

He received a Sloan Research Fellowship in 1984. In 2006, he was a plenary speaker at the International Congress of Mathematicians, in Madrid (Energy driven pattern formation). He is a fellow of the American Mathematical Society.

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.

External links

• Robert V. Kohn website