Publications
Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations
– Nonlinearity
(2003)
16,
1967
(doi: 10.1088/0951-7715/16/6/305)
Determining Modes for Continuous Data Assimilation in 2D Turbulence
– Journal of Statistical Physics
(2003)
113,
799
(doi: 10.1023/a:1027312703252)
Inertial Manifolds and Gevrey Regularity for the Moore-Greitzer Model of an Axial-Flow Compressor
– Journal of Nonlinear Science
(2003)
13,
1
(doi: 10.1007/s00332-002-0516-y)
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.
– 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)
152-153,
505
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)
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