Gerard Misiolek

Professor

Education

Ph.D., SUNY at Stony Brook, 1992
M.A., Uniwersytet Warszawski, 1988
M.S., Politechnika Warszawska, 1987

Research Groups

Analysis and Partial Differential Equations, Differential Geometry, Partial Differential Equations

Research Area

Global Analysis, Partial Differential Equations

Bio

Research Interests

Global analysis and partial differential equations; in particular, riemannian geometry of diffeomorphism groups and analysis of fluids

Selected Publications

  • G. Misiolek and T. Yoneda, Continuity of the solution map of the Euler equations in H\"older spaces and weak norm inflation in Besov spaces, Trans. Amer. Math. Soc. 370 (2018), 4709-4730. 

  • B. Khesin, J. Lenells, G. Misiolek and S. Preston, Geometry of diffeomorphism groups, complete integrability and geometric statistics, GAFA, Geom. funct. anal. 23 (2013), 334-366.

  • G. Misiolek and S. Preston, Fredholm properties of Riemannian exponential maps on diffeomorphism groups, Invent. math. 179 (2010), 191-227.

  • A. Himonas and G. Misiolek, Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics, Comm. Math. Phys. 296 (2010), 285-301.

  • B. Khesin and G. Misiolek, Euler equations on homogeneous spaces and Virasoro orbits, Adv. Math. 176 (2003), 116-144.

  • G. Misiolek, The exponential map on the free loop space is Fredholm, GAFA, Geom. funct. anal. 7 (1997), 954-969.

  • G. Misiolek, Conjugate points in D_µ(T^2), Proc. Amer. Math. Soc. 124 (1996), 977-982.

Email: gmisiole@nd.edu
Phone: 574-631-4179
Fax: 574-631-6579
Office: 246 Hayes-Healy Bldg