Joel Avrin
Affiliations: | Applied Mathematics (PhD) | University of North Carolina, Charlotte, Charlotte, NC, United States |
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"Joel Avrin"
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Publications
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| Avrin J, Xiao C. (2014) Convergence results for a class of spectrally hyperviscous models of 3-D turbulent flow Journal of Mathematical Analysis and Applications. 409: 742-751 |
| Avrin J. (2014) High-order Galerkin convergence and boundary characteristics of the 3-D Navier-Stokes equations on intervals of regularity Journal of Differential Equations. 257: 2404-2417 |
| Avrin J. (2012) Exponential asymptotic stability of a class of dynamical systems with applications to models of turbulent flow in two and three dimensions Proceedings of the Royal Society of Edinburgh Section a: Mathematics. 142: 225-238 |
| Avrin J, Xiao C. (2009) Convergence of Galerkin solutions and continuous dependence on data in spectrally-hyperviscous models of 3D turbulent flow Journal of Differential Equations. 247: 2778-2798 |
| Avrin J. (2008) The asymptotic finite-dimensional character of a spectrally-hyperviscous model of 3D turbulent flow Journal of Dynamics and Differential Equations. 20: 479-518 |
| Avrin J. (2004) Global existence and regularity for the Lagrangian averaged Navier-Stokes equations with initial data in H 1/2 Communications On Pure and Applied Analysis. 3: 353-366 |
| Avrin J. (2003) Singular initial data and uniform global bounds for the hyper-viscous Navier-Stokes equation with periodic boundary conditions Journal of Differential Equations. 190: 330-351 |
| Avrin JD. (1999) Large-frequency global regularity for the incompressible Navier-Stokes equation Royal Society of Edinburgh - Proceedings A. 129: 903-912 |
| Avrin JD. (1996) Large-Eigenvalue global existence and regularity results for the Navier-Stokes equation Journal of Differential Equations. 127: 365-390 |
| Avrin JD. (1987) The generalized burgers' equation and the navier-stokes equation in Rnwith singular initial data Proceedings of the American Mathematical Society. 101: 29-40 |