Eric Olson

Department of Mathematics/084
University of Nevada, Reno
Reno, NV 89557
email: ejolson at unr.edu

Publications

  1. with C. Foias, Finite fractal dimension and Hölder-Lipschitz parametrization. Indiana Univ. Math. J. 45 (1996), no. 3, 603--616. (ps)

  2. with S. Chen, C. Foias, D.D. Holm, E.S. Titi and S. Wynne, Camassa-Holm equations as a closure model for turbulent channel and pipe flow, Phys. Rev. Lett. 81 (1998), no. 24, 5338--5341. (ps)

  3. with S. Chen, C. Foias, D.D. Holm, E.S. Titi and S. Wynne, A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. The International Conference on Turbulence (Los Alamos, NM, 1998), Phys. Fluids 11 (1999), no. 8, 2343--2353. (ps)

  4. with S. Chen, C. Foias, D.D. Holm, E.S. Titi and S. Wynne, The Camassa-Holm equations and turbulence. Predictability: quantifying uncertainty in models of complex phenomena (Los Alamos, NM, 1998). Phys. D 133 (1999), no. 1-4, 49--65. (ps)

  5. Bouligand dimension and almost Lipschitz embeddings, Pacific J. Math. 202 (2002), no. 2, 459--474. (ps)

  6. with E.S. Titi, Determining modes for continuous data assimilation in 2D turbulence. Progress in statistical hydrodynamics (Santa Fe, NM, 2002), J. Statist. Phys. 113 (2003), no. 5-6, 799--840. (ps)

  7. with A. Cheskidov, D.D. Holm,and E.S. Titi, On a Leray-alpha Model of Turbulence, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2005), no. 2055, 629--649. (ps)

  8. with Ciprian Foias, Luan Hoang and Mohammed Ziane, On the Solutions to the Normal Form of the Navier--Stokes Equations, to appear in Indiana Univ. Math. Journal 55:2 (2006), 631--686. (ps)

  9. with E.S. Titi, Viscosity Versus Vorticity Stretching: Global Well-posedness for a Family of Navier--Stokes-Alpha-like Models, to appear in Nonlinear Analysis. (ps)

  10. with James Robinson, Almost Bi-Lipshitz Embeddings and Almost Homogeneous Sets, submitted. (ps)

  11. with E.S. Titi, Determining Modes and Grashof Number in 2D Turbulence---A Numerical Case Study, in preparation. (ps)

  12. with Ciprian Foias, Luan Hoang and Mohammed Ziane, The Normal Form of the Navier--Stokes Equations in Suitable Normed Spaces, in preparation. (ps)