Publications
The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory
– Journal of Dynamics and Differential Equations
(2002)
14,
1
(doi: 10.1023/A:1012984210582)
On the domain of analyticity for solutions of second order analytic nonlinear differential equations
– Journal of Differential Equations
(2001)
174,
55
(doi: 10.1006/jdeq.2000.3927)
The Navier–Stokes-alpha model of fluid turbulence
– Physica D: Nonlinear Phenomena
(2001)
152,
505
Efficient methods using high accuracy approximate inertial manifolds
– Numerische Mathematik
(2001)
87,
523
(doi: 10.1007/pl00005423)
The Lorenz equation as a metaphor for the Navier-Stokes equations
– Discrete and Continuous Dynamical Systems
(2001)
7,
403
(doi: 10.3934/dcds.2001.7.403)
Numerical criterion for the stabilization of steady states of the Navier-Stokes equations
– Indiana University Mathematics Journal
(2001)
50,
37
(doi: 10.1512/iumj.2001.50.2154)
Gevrey regularity for the attractor of a partially dissipative model of Benard convection in a porous medium
– Journal of Differential Equations
(2000)
163,
292
(doi: 10.1006/jdeq.1999.3744)
Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in Rn
– Journal of Functional Analysis
(2000)
172,
1
(doi: 10.1006/jfan.1999.3550)
Gevrey regularity for nonlinear analytic parabolic equations on the sphere
– Journal of Dynamics and Differential Equations
(2000)
12,
411
(doi: 10.1023/a:1009072526324)
Order reduction for nonlinear dynamic models of distributed reacting systems
– Journal of Process Control
(2000)
10,
177
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