Works matching AU Titi, Edriss S.
Results: 52
"Recent Progress in Nonlinear PDE's and Applications".
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- Turkish Journal of Mathematics, 2023, v. 47, p. 897
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- Article
Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion.
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- Communications on Pure & Applied Mathematics, 2016, v. 69, n. 8, p. 1492, doi. 10.1002/cpa.21576
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On the regularization mechanism for the periodic Korteweg-de Vries equation.
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- Communications on Pure & Applied Mathematics, 2011, v. 64, n. 5, p. 591, doi. 10.1002/cpa.20356
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Global regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the two-dimensional Euler equations.
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- Communications on Pure & Applied Mathematics, 2010, v. 63, n. 6, p. 697, doi. 10.1002/cpa.20305
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An inviscid regularization for the surface quasi-geostrophic equation.
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- Communications on Pure & Applied Mathematics, 2008, v. 61, n. 10, p. 1331, doi. 10.1002/cpa.20218
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- Article
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning.
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- Journal of Advances in Modeling Earth Systems, 2024, v. 16, n. 8, p. 1, doi. 10.1029/2023MS004178
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CDAnet: A Physics‐Informed Deep Neural Network for Downscaling Fluid Flows.
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- Journal of Advances in Modeling Earth Systems, 2022, v. 14, n. 12, p. 1, doi. 10.1029/2022MS003051
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Determining modes and Grashof number in 2D turbulence: a numerical case study.
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- Theoretical & Computational Fluid Dynamics, 2008, v. 22, n. 5, p. 327, doi. 10.1007/s00162-008-0086-1
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Derivation of a Generalized Quasi-Geostrophic Approximation for Inviscid Flows in a Channel Domain: The Fast Waves Correction.
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- Communications in Mathematical Physics, 2024, v. 405, n. 7, p. 1, doi. 10.1007/s00220-024-05036-0
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Onsager's Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit.
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- Communications in Mathematical Physics, 2019, v. 370, n. 1, p. 291, doi. 10.1007/s00220-019-03493-6
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Global well-posedness of a 3D MHD model in porous media.
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- Journal of Geometric Mechanics, 2019, v. 11, n. 4, p. 621, doi. 10.3934/jgm.2019031
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Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows.
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- Communications in Partial Differential Equations, 2008, v. 33, n. 3, p. 419, doi. 10.1080/03605300701454859
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Gevrey regularity for nonlinear analytic parabolic equations.
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- Communications in Partial Differential Equations, 1998, v. 23, n. 1/2, p. 424, doi. 10.1080/03605309808821336
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Stochastic Attractors for Shell Phenomenological Models of Turbulence.
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- Journal of Statistical Physics, 2010, v. 140, n. 4, p. 688, doi. 10.1007/s10955-010-0010-0
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On the Convergence Rate of the Euler- α, an Inviscid Second-Grade Complex Fluid, Model to the Euler Equations.
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- Journal of Statistical Physics, 2010, v. 138, n. 1-3, p. 305, doi. 10.1007/s10955-009-9916-9
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Efficient dynamical downscaling of general circulation models using continuous data assimilation.
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- Quarterly Journal of the Royal Meteorological Society, 2019, v. 145, n. 724, p. 3175, doi. 10.1002/qj.3612
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Entire Solutions of Hydrodynamical Equations with Exponential Dissipation.
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- Communications in Mathematical Physics, 2010, v. 293, n. 2, p. 519, doi. 10.1007/s00220-009-0916-z
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Distributed and boundarycontrol of the viscous burgers' equation.
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- Numerical Functional Analysis & Optimization, 1997, v. 18, n. 1/2, p. 143, doi. 10.1080/01630569708816752
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Parameterizing the global attractor of the navier-stokes equations by nodal values.
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- Numerical Functional Analysis & Optimization, 1995, v. 16, n. 3/4, p. 543, doi. 10.1080/01630569508816631
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Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation.
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- Numerical Functional Analysis & Optimization, 1993, v. 14, n. 3/4, p. 299, doi. 10.1080/01630569308816523
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GLOBAL STABILIZATION OF THE NAVIER-STOKES-VOIGHT AND THE DAMPED NONLINEAR WAVE EQUATIONS BY FINITE NUMBER OF FEEDBACK CONTROLLERS.
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- Discrete & Continuous Dynamical Systems - Series B, 2018, v. 23, n. 3, p. 1325, doi. 10.3934/dcdsb.2018066
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ON THE HIGHER-ORDER GLOBAL REGULARITY OF THE INVISCID VOIGT-REGULARIZATION OF THREE-DIMENSIONAL HYDRODYNAMIC MODELS.
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- Discrete & Continuous Dynamical Systems - Series B, 2010, v. 14, n. 2, p. 603, doi. 10.3934/dcdsb.2010.14.603
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On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations.
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- Archive for Rational Mechanics & Analysis, 2022, v. 243, n. 2, p. 747, doi. 10.1007/s00205-021-01748-y
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Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations.
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- Archive for Rational Mechanics & Analysis, 2021, v. 241, n. 2, p. 729, doi. 10.1007/s00205-021-01662-3
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Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data.
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- Archive for Rational Mechanics & Analysis, 2020, v. 238, n. 2, p. 705, doi. 10.1007/s00205-020-01553-z
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Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations.
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- Journal of Nonlinear Science, 2024, v. 34, n. 4, p. 1, doi. 10.1007/s00332-024-10032-8
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Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm.
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- Journal of Nonlinear Science, 2024, v. 34, n. 2, p. 1, doi. 10.1007/s00332-024-10014-w
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Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes.
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- 2023
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- Correction Notice
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes.
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- Journal of Nonlinear Science, 2023, v. 33, n. 4, p. 1, doi. 10.1007/s00332-023-09915-z
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A Kinematic–Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics.
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- Journal of Nonlinear Science, 2023, v. 33, n. 1, p. 1, doi. 10.1007/s00332-022-09837-2
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Well-Posedness of Hibler’s Dynamical Sea-Ice Model.
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- Journal of Nonlinear Science, 2022, v. 32, n. 4, p. 1, doi. 10.1007/s00332-022-09803-y
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On the Extension of Onsager's Conjecture for General Conservation Laws.
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- Journal of Nonlinear Science, 2019, v. 29, n. 2, p. 501, doi. 10.1007/s00332-018-9496-4
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The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up?
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- Journal of Nonlinear Science, 2013, v. 23, n. 6, p. 993, doi. 10.1007/s00332-013-9175-4
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Gevrey Regularity for the Attractor of the 3D Navier–Stokes–Voight Equations.
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- Journal of Nonlinear Science, 2009, v. 19, n. 2, p. 133, doi. 10.1007/s00332-008-9029-7
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Continuous Data Assimilation with Blurred-in-Time Measurements of the Surface Quasi-Geostrophic Equation.
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- Chinese Annals of Mathematics, 2019, v. 40, n. 5, p. 721, doi. 10.1007/s11401-019-0158-0
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Global attractors and determining modes for the 3D Navier-Stokes-Voight equations.
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- Chinese Annals of Mathematics, 2009, v. 30, n. 6, p. 697, doi. 10.1007/s11401-009-0205-3
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Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates.
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- IMA Journal of Numerical Analysis, 2020, v. 40, n. 4, p. 2584, doi. 10.1093/imanum/drz043
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On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in.
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- Mathematical Models & Methods in Applied Sciences, 2016, v. 26, n. 4, p. 803, doi. 10.1142/S0218202516500184
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On energy conservation for the hydrostatic Euler equations: an Onsager conjecture.
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- Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 8, p. 1, doi. 10.1007/s00526-023-02558-8
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Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations: on sharpness of J.-L. Lions exponent.
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- Calculus of Variations & Partial Differential Equations, 2020, v. 59, n. 3, p. 1, doi. 10.1007/s00526-020-01742-4
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FEEDBACK CONTROL OF NONLINEAR DISSIPATIVE SYSTEMS BY FINITE DETERMINING PARAMETERS - A REACTION-DIFFUSION PARADIGM.
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- Evolution Equations & Control Theory, 2014, v. 3, n. 4, p. 579, doi. 10.3934/eect.2014.3.579
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Global well-posedness of a three-dimensional Brinkman-Forchheimer-Bénard convection model in porous media.
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- Discrete & Continuous Dynamical Systems - Series S, 2024, v. 17, n. 5/6, p. 1, doi. 10.3934/dcdss.2022165
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LOSS OF SMOOTHNESS AND ENERGY CONSERVING ROUGH WEAK SOLUTIONS FOR THE 3d EULER EQUATIONS.
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- Discrete & Continuous Dynamical Systems - Series S, 2010, v. 3, n. 2, p. 185, doi. 10.3934/dcdss.2010.3.185
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Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence.
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- Journal of Statistical Physics, 2007, v. 127, n. 6, p. 1173, doi. 10.1007/s10955-007-9317-x
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Determining Modes for Continuous Data Assimilation in 2D Turbulence.
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- Journal of Statistical Physics, 2003, v. 113, n. 5/6, p. 799, doi. 10.1023/A:1027312703252
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Mathematics and turbulence: where do we stand?
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- Journal of Turbulence, 2013, v. 14, n. 3, p. 42, doi. 10.1080/14685248.2013.771838
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The inviscid limit for the 2D Navier-Stokes equations in bounded domains.
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- Kinetic & Related Models, 2022, v. 15, n. 3, p. 317, doi. 10.3934/krm.2022004
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Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model.
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- Communications on Pure & Applied Mathematics, 2003, v. 56, n. 2, p. 198, doi. 10.1002/cpa.10056
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Downscaling using CDAnet under observational and model noise: the Rayleigh-Bénard convection paradigm.
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- Computational Geosciences, 2025, v. 29, n. 1, p. 1, doi. 10.1007/s10596-024-10337-3
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Continuous and discrete data assimilation with noisy observations for the Rayleigh-Bénard convection: a computational study.
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- Computational Geosciences, 2023, v. 27, n. 1, p. 63, doi. 10.1007/s10596-022-10180-4
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