
Publications
Inertial Manifolds for Certain Subgrid-Scale $\alpha$-Models of Turbulence
– SIAM E-Journal on Applied Dynamical Systems
(2015)
14,
1308
(doi: 10.1137/140987833)
Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello
– Communications in Mathematical Sciences
(2015)
13,
1261
(doi: 10.4310/cms.2015.v13.n5.a9)
Global Regularity vs. Finite-Time Singularities: Some Paradigms on the Effect of Boundary Conditions and Certain Perturbations
(2014)
A unified approach to determining forms for the 2D Navier–Stokes equations — the general interpolants case
– Russian Mathematical Surveys
(2014)
69,
359
Planar Limits of Three-Dimensional Incompressible Flows with Helical Symmetry
– Journal of Dynamics and Differential Equations
(2014)
26,
843
(doi: 10.1007/s10884-014-9411-0)
Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity
– Archive for Rational Mechanics and Analysis
(2014)
214,
35
(doi: 10.1007/s00205-014-0752-y)
Higher-order global regularity of an inviscid voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations
– Journal of Mathematical Fluid Mechanics
(2014)
16,
59
(doi: 10.1007/s00021-013-0136-3)
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
– Journal of Differential Equations
(2014)
257,
3778
(doi: 10.1016/j.jde.2014.07.009)
Continuous data assimilation using general interpolant observables
– Journal of Nonlinear Science
(2014)
24,
277
(doi: 10.1007/s00332-013-9189-y)
Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm
– Evolution Equations and Control Theory
(2014)
3,
579
(doi: 10.3934/eect.2014.3.579)
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