Publications
Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
– Communications on Pure and Applied Mathematics
(2002)
56,
198
(doi: 10.1002/cpa.10056)
Postprocessing Fourier spectral methods: The case of smooth solutions
– Applied Numerical Mathematics
(2002)
43,
191
Continuum approach to discreteness - art. no. 046613
– Physical Review E Statistical Nonlinear and Soft Matter Physics
(2002)
65,
046613
(doi: 10.1103/PhysRevE.65.046613)
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
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)
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 & Continuous Dynamical Systems - A
(2001)
7,
403
(doi: 10.3934/dcds.2001.7.403)
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)
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