Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
Authors:
- Aseel FarhatAFAseel Farhat
- Michael S. JollyMJMichael S. Jolly
- Edriss S. TitiETEdriss S. Titi
- 1 May 2015
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 303, 59-66
Abstract
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Funding Information
- NSF (DMS-1418911)
- NSF (DMS-1008661, DMS-1109022, DMS-1418911)
- NSF (DMS-1009950, DMS-1109640, DMS-1109645)
This publication has 20 references indexed in Scilit:
- Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusionJournal of Differential Equations, 2013
- On the regularity for the Boussinesq equations in a bounded domainJournal of Mathematical Physics, 2013
- Global regularity for the 2D Boussinesq equations with partial viscosity termsAdvances in Mathematics, 2006
- Global well-posedness of the viscous Boussinesq equationsDiscrete and Continuous Dynamical Systems, 2005
- Numerical Experiments on the Interaction Between the Large- and Small-Scale Motions of the Navier-Stokes EquationsMultiscale Modeling & Simulation, 2003
- Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systemsMathematics of Computation, 1997
- Determining finite volume elements for the 2D Navier-Stokes equationsPhysica D: Nonlinear Phenomena, 1992
- Determining nodes, finite difference schemes and inertial manifoldsNonlinearity, 1991
- Attractors for the Bénard problem: existence and physical bounds on their fractal dimensionNonlinear Analysis, 1987
- Determination of the solutions of the Navier-Stokes equations by a set of nodal valuesMathematics of Computation, 1984