Publications
Axisymmetric Euler-$α$ Equations without Swirl: Existence, Uniqueness, and Radon Measure Valued Solutions
(2009)
Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching
– SIAM Journal on Mathematical Analysis
(2009)
41,
269
(doi: 10.1137/08071572x)
Simulations of turbulent ocean flow using a deconvolution model
– Comptes Rendus. Mathématique
(2009)
347,
445
(doi: 10.1016/j.crma.2009.01.027)
Simulations of turbulent ocean flow using a deconvolution model
– Comptes Rendus Mathématique
(2009)
347,
445
(doi: 10.1016/j.crma.2009.01.027)
Modulation Theory for Self-Focusing in the Nonlinear Schrodinger-Helmholtz Equation
– Numerical Functional Analysis and Optimization
(2009)
30,
46
(doi: 10.1080/01630560802679398)
Regularity Criteria for the Three-dimensional Navier-Stokes Equations
– Indiana University Mathematics Journal
(2008)
57,
2643
(doi: 10.1512/iumj.2008.57.3719)
Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids
– Journal of Differential Equations
(2008)
245,
2771
(doi: 10.1016/j.jde.2007.11.014)
Gevrey Regularity for the Attractor of the 3D Navier-Stokes-Voight Equations
– Journal of Nonlinear Science
(2008)
19,
133
(doi: 10.1007/s00332-008-9029-7)
Global regularity for a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the 2D Euler equations
– Physica D Nonlinear Phenomena
(2008)
237,
1905
(doi: 10.1016/j.physd.2008.01.003)
Spectral scaling of the Leray-α model for two-dimensional turbulence
– Journal of Physics A: Mathematical and Theoretical
(2008)
41,
344014
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