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Robert V Kohn

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Nationality
  
American

Fields
  
Mathematics

Name
  
Robert Kohn


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Institutions
  
Courant Institute of Mathematical Sciences

Known for
  
Caffarelli–Kohn–Nirenberg inequalities

Notable awards
  
Sloan Fellow (1984) ICM Plenary Lecturer (2006) AMS Fellow (2012) Leroy P. Steele Prize (2014)

Alma mater
  
Harvard University, Princeton University

Residence
  
United States of America

Doctoral advisor
  
Frederick J. Almgren, Jr.

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.

Contents

Robert V. Kohn Robert V Kohn

Biography

Robert V. Kohn FileRobert V Kohnjpg Wikimedia Commons

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.
  • References

    Robert V. Kohn Wikipedia