Robert V. Kohn

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 work on non-linear partial differential equations, including work with Louis Nirenberg and Luis Caffarelli in which they obtained partial results about the regularity of weak solutions of the Navier–Stokes equations.^[4]

Honors

He received a Sloan Research 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] He is an elected member of American Academy of Arts and Sciences.^[8]

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.

References

External links

• Robert V. Kohn website