Elgindi, Tarek Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\). (English) Zbl 07441733 Ann. Math. (2) 194, No. 3, 647-727 (2021). MSC: 35Q31 PDF BibTeX XML Cite \textit{T. Elgindi}, Ann. Math. (2) 194, No. 3, 647--727 (2021; Zbl 07441733) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Jeong, In-Jee The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain. (English) Zbl 07436498 Adv. Math. 393, Article ID 108091, 63 p. (2021). MSC: 35Qxx 76Bxx 35Bxx PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{I.-J. Jeong}, Adv. Math. 393, Article ID 108091, 63 p. (2021; Zbl 07436498) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Ghoul, Tej-Eddine; Masmoudi, Nader Stable self-similar blow-up for a family of nonlocal transport equations. (English) Zbl 1472.35277 Anal. PDE 14, No. 3, 891-908 (2021). MSC: 35Q31 35Q49 76D17 35B44 35C06 PDF BibTeX XML Cite \textit{T. M. Elgindi} et al., Anal. PDE 14, No. 3, 891--908 (2021; Zbl 1472.35277) Full Text: DOI arXiv OpenURL
Elgindi, Tarek; Ibrahim, Slim; Shen, Shengyi Finite-time singularity formation for an active scalar equation. (English) Zbl 1472.35276 Nonlinearity 34, No. 7, 5045-5069 (2021). MSC: 35Q31 35Q35 35B44 76B03 PDF BibTeX XML Cite \textit{T. Elgindi} et al., Nonlinearity 34, No. 7, 5045--5069 (2021; Zbl 1472.35276) Full Text: DOI OpenURL
Elgindi, Tarek M.; Jeong, In-Jee Finite-time singularity formation for strong solutions to the Boussinesq system. (English) Zbl 1462.35287 Ann. PDE 6, No. 1, Paper No. 5, 50 p. (2020). MSC: 35Q35 35Q31 35D35 35A01 35A02 35B44 76B47 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{I.-J. Jeong}, Ann. PDE 6, No. 1, Paper No. 5, 50 p. (2020; Zbl 1462.35287) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Jeong, In-Jee On singular vortex patches. II: Long-time dynamics. (English) Zbl 1454.35265 Trans. Am. Math. Soc. 373, No. 9, 6757-6775 (2020). MSC: 35Q31 76U05 76B47 35B40 35B10 35A01 35A02 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{I.-J. Jeong}, Trans. Am. Math. Soc. 373, No. 9, 6757--6775 (2020; Zbl 1454.35265) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Masmoudi, Nader \(L^\infty\) ill-posedness for a class of equations arising in hydrodynamics. (English) Zbl 07170065 Arch. Ration. Mech. Anal. 235, No. 3, 1979-2025 (2020). MSC: 35Q31 35R25 76S05 35Q86 86A05 76U60 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{N. Masmoudi}, Arch. Ration. Mech. Anal. 235, No. 3, 1979--2025 (2020; Zbl 07170065) Full Text: DOI OpenURL
Elgindi, Tarek M.; Jeong, In-Jee Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. (English) Zbl 1436.35055 Ann. PDE 5, No. 2, Paper No. 16, 51 p. (2019). MSC: 35B44 35A20 35Q31 35B07 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{I.-J. Jeong}, Ann. PDE 5, No. 2, Paper No. 16, 51 p. (2019; Zbl 1436.35055) Full Text: DOI arXiv OpenURL
Elgindi, Tarek; Lee, Donghyun Uniform regularity for free-boundary Navier-Stokes equations with surface tension. (English) Zbl 1383.76039 J. Hyperbolic Differ. Equ. 15, No. 1, 37-118 (2018). MSC: 76B03 76B45 76D03 76D05 76D45 35Q30 35Q31 PDF BibTeX XML Cite \textit{T. Elgindi} and \textit{D. Lee}, J. Hyperbolic Differ. Equ. 15, No. 1, 37--118 (2018; Zbl 1383.76039) Full Text: DOI arXiv OpenURL
Elgindi, Tarek Mohamed; Jeong, In-Jee Ill-posedness for the incompressible Euler equations in critical Sobolev spaces. (English) Zbl 1403.35218 Ann. PDE 3, No. 1, Paper No. 7, 19 p. (2017). MSC: 35Q31 35B65 35R25 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{I.-J. Jeong}, Ann. PDE 3, No. 1, Paper No. 7, 19 p. (2017; Zbl 1403.35218) Full Text: DOI arXiv OpenURL
Elgindi, Tarek; Hu, Wenqing; Šverák, Vladimír On 2d incompressible Euler equations with partial damping. (English) Zbl 1375.35346 Commun. Math. Phys. 355, No. 1, 145-159 (2017). MSC: 35Q31 76D05 76F02 PDF BibTeX XML Cite \textit{T. Elgindi} et al., Commun. Math. Phys. 355, No. 1, 145--159 (2017; Zbl 1375.35346) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Widmayer, Klaus Long time stability for solutions of a \(\beta\)-plane equation. (English) Zbl 1372.35222 Commun. Pure Appl. Math. 70, No. 8, 1425-1471 (2017). MSC: 35Q31 76U05 35B44 35B45 35B35 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{K. Widmayer}, Commun. Pure Appl. Math. 70, No. 8, 1425--1471 (2017; Zbl 1372.35222) Full Text: DOI arXiv OpenURL
Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. (English) Zbl 1373.35239 SIAM J. Math. Anal. 49, No. 3, 1932-1946 (2017). Reviewer: Yuxi Hu (Beijing) MSC: 35Q35 35Q30 76D09 76D07 76D05 PDF BibTeX XML Cite \textit{P. Constantin} et al., SIAM J. Math. Anal. 49, No. 3, 1932--1946 (2017; Zbl 1373.35239) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Widmayer, Klaus Sharp decay estimates for an anisotropic linear semigroup and applications to the surface quasi-geostrophic and inviscid Boussinesq systems. (English) Zbl 1326.35266 SIAM J. Math. Anal. 47, No. 6, 4672-4684 (2015). MSC: 35Q35 35B35 35Q31 76B03 76B15 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{K. Widmayer}, SIAM J. Math. Anal. 47, No. 6, 4672--4684 (2015; Zbl 1326.35266) Full Text: DOI arXiv OpenURL
Elgindi, Tarek Mohamed Osgood’s lemma and some results for the slightly supercritical 2D Euler equations for incompressible flow. (English) Zbl 1293.35225 Arch. Ration. Mech. Anal. 211, No. 3, 965-990 (2014). MSC: 35Q31 35B65 35B45 76B47 PDF BibTeX XML Cite \textit{T. M. Elgindi}, Arch. Ration. Mech. Anal. 211, No. 3, 965--990 (2014; Zbl 1293.35225) Full Text: DOI Link OpenURL