Math @ Duke
|
Papers Published
- Elgindi, TM; Huang, Y, Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch,
Archive for Rational Mechanics and Analysis, vol. 249 no. 1
(February, 2025) [doi] [abs]
- Elgindi, TM; Liss, K, Norm Growth, Non-uniqueness, and Anomalous Dissipation in Passive Scalars,
Archive for Rational Mechanics and Analysis, vol. 248 no. 6
(December, 2024) [doi] [abs]
- Drivas, TD; Elgindi, TM; Jeong, IJ, Twisting in Hamiltonian flows and perfect fluids,
Inventiones Mathematicae, vol. 238 no. 1
(October, 2024),
pp. 331-370 [doi] [abs]
- Elgindi, TM, Remark on the stability of energy maximizers for the 2D Euler equation on $ \mathbb{T}^2 $,
Communications on Pure and Applied Analysis, vol. 23 no. 10
(2024),
pp. 1562-1568, American Institute of Mathematical Sciences (AIMS) [doi]
- Drivas, TD; Elgindi, TM; La, J, Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids,
Mathematische Annalen, vol. 387 no. 3-4
(December, 2023),
pp. 1691-1718 [doi] [abs]
- Drivas, TD; Elgindi, TM, Singularity formation in the incompressible Euler equation in finite and infinite time,
EMS Surveys in Mathematical Sciences, vol. 10 no. 1
(November, 2023),
pp. 1-100, European Mathematical Society - EMS - Publishing House GmbH [doi] [abs]
- Elgindi, TM; Liss, K; Mattingly, JC, Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz
velocity field on $\mathbb{T}^2$
(April, 2023) [abs]
- Elgindi, TM; Jeong, IJ, On Singular Vortex Patches, I: Well-Posedness Issues,
Memoirs of the American Mathematical Society, vol. 283 no. 1400
(March, 2023),
pp. 1-102 [doi] [abs]
- Coti Zelati, M; Elgindi, TM; Widmayer, K, Stationary Structures Near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations,
Archive for Rational Mechanics and Analysis, vol. 247 no. 1
(February, 2023) [doi] [abs]
- Drivas, T; Elgindi, T; La, J, Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids,
MATHEMATISCHE ANNALEN, vol. 387 no. 3-4
(2023),
pp. 1691-1718 [doi]
- Crippa, G; Elgindi, T; Iyer, G; Mazzucato, AL, Growth of Sobolev norms and loss of regularity in transport equations.,
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, vol. 380 no. 2225
(June, 2022),
pp. 20210024 [doi] [abs]
- Drivas, TD; Elgindi, TM; Iyer, G; Jeong, IJ, Anomalous Dissipation in Passive Scalar Transport,
Archive for Rational Mechanics and Analysis, vol. 243 no. 3
(March, 2022),
pp. 1151-1180 [doi] [abs]
- Constantin, P; Drivas, TD; Elgindi, TM, Inviscid Limit of Vorticity Distributions in the Yudovich Class,
Communications on Pure and Applied Mathematics, vol. 75 no. 1
(January, 2022),
pp. 60-82 [doi] [abs]
- Elgindi, TM; Jeong, IJ, The incompressible Euler equations under octahedral symmetry: Singularity formation in a fundamental domain,
Advances in Mathematics, vol. 393
(December, 2021) [doi] [abs]
- Elgindi, TM, Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$,
Annals of Mathematics, vol. 194 no. 3
(November, 2021), Annals of Mathematics [doi]
- Elgindi, T; Ibrahim, S; Shen, S, Finite-time singularity formation for an active scalar equation,
Nonlinearity, vol. 34 no. 7
(July, 2021),
pp. 5045-5069 [doi] [abs]
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|