Agélas, Léo A new path to the non blow-up of incompressible flows. (English) Zbl 1433.35214 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 6, 1503-1537 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35Q31 35B44 76B03 86A10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Tao, Terence Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. (English) Zbl 1397.35181 Ann. PDE 2, No. 2, Paper No. 9, 79 p. (2016). MSC: 35Q30 35B44 76B47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Enciso, Alberto; Peralta-Salas, Daniel Existence of knotted vortex tubes in steady Euler flows. (English) Zbl 1317.35184 Acta Math. 214, No. 1, 61-134 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q31 37N10 57M25 35J25 35J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Enciso, Alberto Geometric problems in PDEs with applications to mathematical physics. (English) Zbl 1307.35206 S\(\vec{\text{e}}\)MA J. 65, No. 1, 1-11 (2014). MSC: 35Q31 35P20 35B38 35L70 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Dascaliuc, R.; Grujić, Z. Vortex stretching and criticality for the three-dimensional Navier-Stokes equations. (English) Zbl 1426.76102 J. Math. Phys. 53, No. 11, 115613, 9 p. (2012). MSC: 76D05 76D17 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chae, Dongho On the self-similar solutions of the 3D Euler and the related equations. (English) Zbl 1219.35183 Commun. Math. Phys. 305, No. 2, 333-349 (2011). MSC: 35Q31 35Q30 76D05 35B44 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Bustamante, Miguel D. 3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis. (English) Zbl 1218.35166 Physica D 240, No. 13, 1092-1099 (2011). MSC: 35Q31 76W05 35B44 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chae, Dongho On the generalized self-similar singularities for the Euler and the Navier-Stokes equations. (English) Zbl 1189.35236 J. Funct. Anal. 258, No. 9, 2865-2883 (2010). MSC: 35Q31 35Q30 76D05 35B45 35B30 35B40 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Chae, Dongho Notes on the incompressible Euler and related equations on \(\mathbb R^N\). (English) Zbl 1189.35235 Chin. Ann. Math., Ser. B 30, No. 5, 513-526 (2009). MSC: 35Q31 35Q30 35B33 35B44 76D03 76N10 × Cite Format Result Cite Review PDF Full Text: DOI
Chae, Dongho On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations. (English) Zbl 1173.35094 Adv. Math. 221, No. 5, 1678-1702 (2009). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76D05 35B45 86A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gibbon, J. D. The three-dimensional Euler equations: Where do we stand? (English) Zbl 1143.76389 Physica D 237, No. 14-17, 1894-1904 (2008). MSC: 76B03 35Q35 76-02 × Cite Format Result Cite Review PDF Full Text: DOI
Chae, Dongho Nonexistence of self-similar singularities for the 3D incompressible Euler equations. (English) Zbl 1157.35079 Commun. Math. Phys. 273, No. 1, 203-215 (2007). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q05 76B03 35B40 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chae, Dongho On the deformations of the incompressible Euler equations. (English) Zbl 1157.35078 Math. Z. 257, No. 3, 563-580 (2007). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q05 76B03 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Chae, Dongho On the Lagrangian dynamics for the 3D incompressible Euler equations. (English) Zbl 1124.35062 Commun. Math. Phys. 269, No. 2, 557-569 (2007). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q35 76B03 35Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Córdoba, Diego On the search for singularities in incompressible flows. (English) Zbl 1164.76320 Appl. Math., Praha 51, No. 4, 299-320 (2006). MSC: 76D03 35Q35 74H35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Chae, Dongho On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations. (English) Zbl 1104.35024 Commun. Math. Phys. 263, No. 3, 789-801 (2006). MSC: 35Q05 76B03 35Q35 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. (English) Zbl 1158.76305 Commun. Partial Differ. Equations 31, No. 1-3, 293-306 (2006). MSC: 76B03 35B40 35L45 35L60 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei Geometric properties and nonblowup of 3D incompressible Euler flow. (English) Zbl 1142.35549 Commun. Partial Differ. Equations 30, No. 2, 225-243 (2005). MSC: 35Q35 35L60 76B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Córdoba, A.; Córdoba, D.; Fefferman, C. L.; Fontelos, M. A. A geometrical constraint for capillary jet breakup. (English) Zbl 1061.35074 Adv. Math. 187, No. 1, 228-239 (2004). Reviewer: Mariano Rodriguez Ricard (La Habana) MSC: 35Q30 76D25 35R35 76D45 × Cite Format Result Cite Review PDF Full Text: DOI
Cordoba, Antonio; Cordoba, Diego; Fefferman, Charles; Fontelos, Marco A. Drops: the collapse of capillary jets. (English) Zbl 1063.76015 Proc. Natl. Acad. Sci. USA 99, No. 17, 11006-11007 (2002). MSC: 76D45 58E12 76D25 × Cite Format Result Cite Review PDF Full Text: DOI Link