32 Publications (Page 1 of 2)
2020
A Determining Form for the 2D Rayleigh-Bénard ProblemCao, Yu⋅Jolly, Michael and Titi, Edriss2020-03-17.
| Journal Article
Algebraic Bounds on the Rayleigh-Bénard attractorCao, Yu⋅Jolly, Michael⋅Titi, Edriss and Whitehead, Jared2020-03-17.
| Journal Article
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equationJolly, Michael⋅Martinez, Vincent⋅Olson, Eric and Titi, Edriss2020-03-17.
| Journal Article
2019
A Determining Form for the 2D Rayleigh-B\'enard ProblemCao, Yu⋅Jolly, Michael S and Titi, Edriss S2019-06-30.
| Journal Article
A Determining Form for the Subcritical Surface Quasi-Geostrophic EquationJolly, Michael⋅Martinez, Vincent⋅Sadigov, Tural and Titi, EdrissJournal of Dynamics and Differential Equations, vol. 31, (no. 3), pp. 1494, 20190901.
| Journal Article
Algebraic Bounds on the Rayleigh-B\'enard attractorCao, Yu⋅Jolly, Michael S⋅Titi, Edriss S and Whitehead, Jared P2019-05-03.
| Journal Article
2018
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equationJolly, Michael S⋅Martinez, Vincent R⋅Olson, Eric J and Titi, Edriss S2018-08-31.
| Journal Article
Finite-Dimensionality and Determining Modes of the Global Attractor for 2D Boussinesq Equations with Fractional LaplacianHuang, Aimin⋅Huo, Wenru and Jolly, MichaelAdvanced Nonlinear Studies, vol. 18, (no. 3), pp. 515, 2018-08-01.
| Journal Article
2017
A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic EquationJolly, Michael S⋅Martinez, Vincent R and Titi, Edriss SAdvanced Nonlinear Studies, vol. 17, (no. 1), pp. 192, 2017-2-1.
| Journal Article
A determining form for the subcritical surface quasi-geostrophic equationJolly, Michael S⋅Martinez, Vincent R⋅Sadigov, Tural and Titi, Edriss S2017-05-04.
| Journal Article
Assimilation of nearly turbulent Rayleigh-B\'enard flow through vorticity or local circulation measurements: a computational studyFarhat, Aseel⋅Johnston, Hans⋅Jolly, Michael S and Titi, Edriss S2017-09-07.
| Journal Article
Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational studyFarhat, Aseel⋅Johnston, Hans⋅Jolly, Michael and Titi, Edriss2017-10-30.
| Journal Article
Determining form and data assimilation algorithm for weakly damped and driven Korteweg–de Vries equation — Fourier modes caseJolly, Michael S⋅Jolly, Michael S⋅Sadigov, Tural⋅Sadigov, Tural⋅Titi, Edriss S and Titi, Edriss SNonlinear Analysis: Real World Applications, vol. 36, pp. 317, August 2017.
| Journal Article
Navier-Stokes equations, determining forms, determining modes, inertial manifolds, dissipative dynamical systemsFoias, Ciprian⋅Jolly, Michael⋅Kravchenko, Rostyslav and Titi, Edriss2017-03-02.
| Journal Article
One-Dimensional Parametric Determining form for the Two-Dimensional Navier–Stokes EquationsFoias, Ciprian⋅Jolly, Michael⋅Lithio, Dan and Titi, EdrissJournal of Nonlinear Science, vol. 27, (no. 5), pp. 1529, 20171000.
| Journal Article
2016
A data assimilation algorithm for the subcritical surface quasi-geostrophic equationJolly, Michael S⋅Martinez, Vincent R and Titi, Edriss S2016-07-28.
| Journal Article
Energy spectra and passive tracer cascades in turbulent flowsJolly, Michael and Wirosoetisno, Djoko2016-11-23.
| Journal Article
2015
A determining form for the damped driven nonlinear Schrödinger equation—Fourier modes caseJolly, Michael S⋅Sadigov, Tural and Titi, Edriss SJournal of Differential Equations, vol. 258, (no. 8), pp. 2744, 2015-04-15.
| Journal Article
Continuous data assimilation for the 2D Bénard convection through velocity measurements aloneFarhat, Aseel⋅Jolly, Michael S and Titi, Edriss SPhysica D: Nonlinear Phenomena, vol. 303, pp. 66, 2015-05-15.
| Journal Article
Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equaton- Fourier modes caseJolly, Michael S⋅Sadigov, Tural and Titi, Edriss S2015-10-09.
| Journal Article
2014
A determining form for the damped driven Nonlinear Schr\"odinger Equation- Fourier modes caseJolly, Michael S⋅Sadigov, Tural and Titi, Edriss S2014-06-10.
| Journal Article
On whether zero is in the global attractor of the 2D Navier–Stokes equationsFoias, Ciprian⋅Jolly, Michael S⋅Yang, Yong and Zhang, BingshengNonlinearity, vol. 27, (no. 11), pp. 2770, 2014-11-01.
| Journal Article
2013
Dissipative length scale estimates for turbulent flows - a Wiener algebra approachBiswas, Animikh⋅Jolly, Michael S⋅Martinez, Vincent R and Titi, Edriss S2013-10-13.
| Journal Article
Time analyticity with higher norm estimates for the 2D Navier-Stokes equationsFoias, Ciprian⋅Jolly, Michael S⋅Lan, Ruomeng⋅Rupam, Rishika⋅Yang, Yong and Zhang, Bingsheng2013-12-03.
| Journal Article
2012
A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes caseFoias, Ciprian⋅Jolly, Michael S⋅Kravchenko, Rostyslav and Titi, Edriss SJournal of Mathematical Physics, vol. 53, (no. 11), pp. 115623, 20121100.
| Journal Article