Mathematics Colloquium

Add to Calendar 11/09/2017 15:35:0011/09/2017 16:30:0015Mathematics ColloquiumSpeaker: Sivaguru Sritharan, Air Force Institute of Technology Host: James Cordeiro Title: The Clay Institute Millennium Prize Problem on Navier-Stokes and its Probabilistic and Compressible Counterparts Abstract: Two famous developments in nonlinear partial differential equations in the past century continue to inspire modern mathematicians: (1) Solvability theory of incompressible three dimensional fluid dynamics initiated by. J. Leray in the 1930’s and further crystallized by E. Hopf and O. A. Ladyzhenskaya in the 1950’s which is also one of the six remaining Clay Institute Millennium Prize Problems; (2) Solvability theory of compressible three dimensional fluid dynamics initiated by James Serrin (1959) and John Nash (1962), with the most decisive results coming from P. L. Lions in the 1990’s. Both of these subjects are important in engineering applications as they address mathematical aspects of low-speed and high-speed aerodynamics. In particular, stochastic analysis, control theory, filtering/estimation, turbulence closure modeling, and numerical analysis of viscous aerodynamics essentially depend on our understanding of the solvability theory of these physical problems which add to the importance of such analysis. In this talk we will give an introductory exposition of this subject and discuss related issues and applications. Refreshments are available at 3:00 PM in SC 313F. The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. Science Center Room 323Paul Eloepeloe1@udayton.eduNo11/09/2017

Thursday, November 9

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Colloquia, Mathematics, Sciences

Cost:  Free

Speaker: Sivaguru Sritharan, Air Force Institute of Technology

Host: James Cordeiro

Title: The Clay Institute Millennium Prize Problem on Navier-Stokes and its Probabilistic and Compressible Counterparts

Abstract: Two famous developments in nonlinear partial differential equations in the past century continue to inspire modern mathematicians: (1) Solvability theory of incompressible three dimensional fluid dynamics initiated by. J. Leray in the 1930’s and further crystallized by E. Hopf and O. A. Ladyzhenskaya in the 1950’s which is also one of the six remaining Clay Institute Millennium Prize Problems; (2) Solvability theory of compressible three dimensional fluid dynamics initiated by James Serrin (1959) and John Nash (1962), with the most decisive results coming from P. L. Lions in the 1990’s. Both of these subjects are important in engineering applications as they address mathematical aspects of low-speed and high-speed aerodynamics. In particular, stochastic analysis, control theory, filtering/estimation, turbulence closure modeling, and numerical analysis of viscous aerodynamics essentially depend on our understanding of the solvability theory of these physical problems which add to the importance of such analysis. In this talk we will give an introductory exposition of this subject and discuss related issues and applications.

Refreshments are available at 3:00 PM in SC 313F.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. 

Contact Information:

Name:  Paul Eloe
Email:  peloe1@udayton.edu