## Publications

16. E. Carlson, J. Hudson, A. Larios,

*Parameter Recovery and Sensitivity Analysis for the 2D Navier-Stokes Equations Via Continuous Data Assimilation.*(submitted) [arXiv]

15. A. Larios, C. Victor

*Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study.*(submitted) [arXiv]

14. A. Larios, Y. Pei

*Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data.*(submitted) [arXiv]

13. A. Larios, Y. Pei

*Nonlinear Continuous Data Assimilation.*(submitted) [arXiv]

12. A. Larios, L. G. Rebholz, C. Zerfas

*Global in time stability and accuracy of IMEX-FEM data assimilation schemes for the Navier-Stokes equations.*Computer Methods in Applied Mechanics and Engineering. (accepted, in press) [arXiv]

11. A. Larios, Y. Pei, L. G. Rebholz,

*Global well-posedness of the velocity-vorticity-{V}oigt model of the 3{D} {N}avier-{S}tokes equations.*J. Differential Equations. (accepted, in press) [arXiv]

10. A. Biswas, J. Hudson, A. Larios, and Y. Pei,

*Continuous data assimilation for the magneto-hydrodynamic equations in 2D using one component of the velocity and magnetic fields.*Asymptotic Anal.

**108**(2018), no. 1-2, 1-43. [pdf]

9. A. Larios, B. Wingate, M. Petersen, E. S. Titi,

*The Euler-Voigt equations and a computational investigation of the finite-time blow-up of solutions to the 3D Euler Equations*Theor. Comp. Fluid Dyn.

**3**, no.~1 (2018), 23-34. [arXiv]

8. A. Larios, Y. Pei,

*On the local well-posedness and a Prodi-Serrin type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion.*J. Differential Equations.

**263**(2017), no. 2, 1419-1450. [arXiv]

7. A. Biswas, C. Foias, and A. Larios,

*On the Attractor for the Semi-Dissipative Boussinesq Equations.*Ann. Inst. H. Poincaré Anal. Non Linéaire.

**34**(2017), no. 2, 381-405. [arXiv]

6.

*A. Larios, E.S. Titi, Some Paradigms on The Effect Of Boundary Conditions On The Global Regularity and Singularity Of Non-Linear Partial Differential Equations.*Recent progress in the theory of the Euler and Navier-Stokes equations, 96–125, London Math. Soc. Lecture Note Ser., 430, Cambridge Univ. Press, Cambridge, 2016.[arXiv]

5. J.-L. Guermond, A. Larios, T. Thompson,

*Validation of an entropy-viscosity model for large eddy simulation.*Direct and Large-Eddy Simulation IX, ERCOFTAC Series,

**20**(2015), 43-48 [pdf] [link]

4. A. Larios and E.S. Titi,

*Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations.*J. Math. Fluid Mech.

**16**(2014), no. 1, 59-76. [pdf]

3. A. Larios, E. Lunasin, and E.S. Titi,

*Global well-posedness for the 2D Boussinesq system without heat diffusion and with either anisotropic viscosity or inviscid Voigt-α regularization.*J. Differ. Equations.

**255**(2013) 2636-2654. [pdf]

2. P. Kuberry, A. Larios, L.G. Rebholz, N.E. Wilson,

*Numerical approximation of the Voigt regularization of incompressible Navier-Stokes and magnetohydrodynamic flows,*Computers & Mathematics with Applications

**64(8)**(2012), 2647-2662. [pdf]

1. A. Larios and E.S. Titi,

*On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic modelsi*, Discrete and Continuous Dynamical Systems B,

**14(2)**(2010), 603-627.

*(An invited article for a special issue in honor of Professor P. Kloeden on the occasion of his 60th birthday)*[pdf]