Publications
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,
13
(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
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)
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 bénard 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)
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