Adam Larios

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List of research outcomes

Publication	Date of Publication	Type
Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm	2024-03-04	Paper
Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: numerical stability and convergence	2024-01-05	Paper
Continuous Data Assimilation for the 3D and Higher-Dimensional Navier--Stokes equations with Higher-Order Fractional Diffusion	2023-06-30	Paper
Algebraic calming for the 2D Kuramoto-Sivashinsky equations	2023-04-20	Paper
The second-best way to do sparse-in-time continuous data assimilation: Improving convergence rates for the 2D and 3D Navier-Stokes equations	2023-03-06	Paper
Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three	2022-09-23	Paper
Construction of a peridynamic model for viscous flow	2022-08-31	Paper
Dynamically learning the parameters of a chaotic system using partial observations	2022-07-15	Paper
A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture	2022-05-12	Paper
The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier-Stokes equations	2022-05-12	Paper
On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation	2022-04-20	Paper
Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study	2021-11-03	Paper
The Bleeps, the Sweeps, and the Creeps: Convergence Rates for Dynamic Observer Patterns via Data Assimilation for the 2D Navier-Stokes Equations	2021-10-19	Paper
Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation	2021-09-24	Paper
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations	2021-06-07	Paper
A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture	2021-05-12	Paper
A fast convolution-based method for peridynamic transient diffusion in arbitrary domains	2021-04-27	Paper
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data	2021-01-13	Paper
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations	2020-04-09	Paper
Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation	2020-02-05	Paper
Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations	2019-06-21	Paper
Efficient solutions for nonlocal diffusion problems via boundary-adapted spectral methods	2019-05-09	Paper
Parameter Recovery and Sensitivity Analysis for the 2D Navier-Stokes Equations Via Continuous Data Assimilation	2018-12-18	Paper
https://portal.mardi4nfdi.de/entity/Q4579826	2018-08-10	Paper
On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion	2017-05-08	Paper
Continuous data assimilation for the magnetohydrodynamic equations in 2D using one component of the velocity and magnetic fields	2017-04-06	Paper
Global Regularity vs. Finite-Time Singularities: Some Paradigms on the Effect of Boundary Conditions and Certain Perturbations	2017-04-05	Paper
Nonlinear Continuous Data Assimilation	2017-03-10	Paper
On the attractor for the semi-dissipative Boussinesq equations	2017-02-21	Paper
A Computational Investigation of the Finite-Time Blow-Up of the 3D Incompressible Euler Equations Based on the Voigt Regularization	2015-12-24	Paper
A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization	2015-07-29	Paper
Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations	2015-02-25	Paper
Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion	2014-02-13	Paper
Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows	2013-07-25	Paper
On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models	2010-09-22	Paper

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