Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion A Larios, E Lunasin, ES Titi Journal of Differential Equations 255 (9), 2636-2654, 2013 | 169 | 2013 |
On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models A Larios, ES Titi arXiv preprint arXiv:0910.3354, 2009 | 97 | 2009 |
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations A Larios, LG Rebholz, C Zerfas Computer Methods in Applied Mechanics and Engineering 345, 1077-1093, 2019 | 64 | 2019 |
Parameter recovery for the 2 dimensional Navier--Stokes equations via continuous data assimilation E Carlson, J Hudson, A Larios SIAM Journal on Scientific Computing 42 (1), A250-A270, 2020 | 60 | 2020 |
Efficient solutions for nonlocal diffusion problems via boundary-adapted spectral methods S Jafarzadeh, A Larios, F Bobaru Journal of Peridynamics and Nonlocal Modeling 2, 85-110, 2020 | 58 | 2020 |
A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture S Jafarzadeh, F Mousavi, A Larios, F Bobaru Computer Methods in Applied Mechanics and Engineering 392, 114666, 2022 | 56 | 2022 |
A fast convolution-based method for peridynamic transient diffusion in arbitrary domains S Jafarzadeh, L Wang, A Larios, F Bobaru Computer Methods in Applied Mechanics and Engineering 375, 113633, 2021 | 55 | 2021 |
Numerical approximation of the Voigt regularization for incompressible Navier–Stokes and magnetohydrodynamic flows P Kuberry, A Larios, LG Rebholz, NE Wilson Computers & Mathematics with Applications 64 (8), 2647-2662, 2012 | 51 | 2012 |
On the local well-posedness and a Prodi–Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion A Larios, Y Pei Journal of Differential Equations 263 (2), 1419-1450, 2017 | 50 | 2017 |
Continuous data assimilation for the 2D magnetohydrodynamic equations using one component of the velocity and magnetic fields A Biswas, J Hudson, A Larios, Y Pei Asymptotic Analysis 108 (1-2), 1-43, 2018 | 39 | 2018 |
Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations A Larios, ES Titi Journal of Mathematical Fluid Mechanics 16 (1), 59-76, 2014 | 39 | 2014 |
Dynamically learning the parameters of a chaotic system using partial observations E Carlson, J Hudson, A Larios, VR Martinez, E Ng, JP Whitehead arXiv preprint arXiv:2108.08354, 2021 | 36 | 2021 |
On the attractor for the semi-dissipative Boussinesq equations A Biswas, C Foias, A Larios Annales de l'Institut Henri Poincare (C) Non Linear Analysis 34 (2), 381-405, 2017 | 36 | 2017 |
Nonlinear continuous data assimilation A Larios, Y Pei arXiv preprint arXiv:1703.03546, 2017 | 32 | 2017 |
Global Well-posedness for The 2D Boussinesq System Without Heat Diffusion and With Either Anisotropic Viscosity or Inviscid Voigt- Regularization A Larios, E Lunasin, ES Titi arXiv preprint arXiv:1010.5024, 2010 | 32 | 2010 |
A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization A Larios, MR Petersen, ES Titi, B Wingate Theoretical and Computational Fluid Dynamics 32, 23-34, 2018 | 29 | 2018 |
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations M Gardner, A Larios, LG Rebholz, D Vargun, C Zerfas arXiv preprint arXiv:2006.07295, 2020 | 27 | 2020 |
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data A Larios, Y Pei arXiv preprint arXiv:1810.10616, 2018 | 27 | 2018 |
Continuous data assimilation with a moving cluster of data points for a reaction diffusion equation: A computational study A Larios, C Victor arXiv preprint arXiv:1812.01686, 2018 | 26 | 2018 |
Sensitivity analysis for the 2D Navier–Stokes equations with applications to continuous data assimilation E Carlson, A Larios Journal of Nonlinear Science 31 (5), 84, 2021 | 25 | 2021 |