Publications
Postprocessing the Galerkin method: A novel approach to approximate inertial manifolds
– SIAM Journal on Numerical Analysis
(2006)
35,
941
(doi: 10.1137/S0036142995296096)
Postprocessing the Galerkin Method: The Finite-Element Case
– SIAM Journal on Numerical Analysis
(2006)
37,
470
(doi: 10.1137/s0036142998335893)
Analytic study of shell models of turbulence
– Physica D Nonlinear Phenomena
(2006)
219,
120
(doi: 10.1016/j.physd.2006.05.015)
Sharp estimates for the number of degrees of freedom for the damped-driven 2-D Navier-Stokes equations
– Journal of Nonlinear Science
(2006)
16,
233
(doi: 10.1007/s00332-005-0720-7)
A modified-Leray-α subgrid scale model of turbulence
– Nonlinearity
(2006)
19,
879
(doi: 10.1088/0951-7715/19/4/006)
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
– Communications in Mathematical Sciences
(2006)
4,
823
(doi: 10.4310/cms.2006.v4.n4.a8)
On the Clark-α model of turbulence: Global regularity and long-time dynamics
– Journal of Turbulence
(2005)
6,
n20
(doi: 10.1080/14685240500183756)
Trajectory attractor approximation of the 3D Navier-Stokes system by a Leray α-model
– Doklady Akademii Nauk
(2005)
400,
583
Dissipativity and Gevrey regularity of a Smoluchowski equation
– Indiana University Mathematics Journal
(2005)
54,
949
(doi: 10.1512/iumj.2005.54.2653)
Cluster formation in complex multi-scale systems
– Proceedings of the Royal Society A
(2005)
461,
3089
(doi: 10.1098/rspa.2005.1548)
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