Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes. (English) Zbl 1528.35119 J. Nonlinear Sci. 33, No. 4, Paper No. 65, 24 p. (2023). Reviewer: Roberta Bianchini (Roma) MSC: 35Q35 35Q30 35Q86 35A01 35A02 35B45 35M86 35K10 76D03 76D09 86A10 PDFBibTeX XMLCite \textit{S. Hittmeir} et al., J. Nonlinear Sci. 33, No. 4, Paper No. 65, 24 p. (2023; Zbl 1528.35119) Full Text: DOI arXiv
Boutros, Daniel W.; Markfelder, Simon; Titi, Edriss S. Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations. arXiv:2305.14505 Preprint, arXiv:2305.14505 [math.AP] (2023). MSC: 76B03 35Q35 35D30 35A01 35A02 76D03 42B35 42B37 BibTeX Cite \textit{D. W. Boutros} et al., ``Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations'', Preprint, arXiv:2305.14505 [math.AP] (2023) Full Text: arXiv OA License
Bardos, Claude; Liu, Xin; Titi, Edriss S. Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction. arXiv:2304.08303 Preprint, arXiv:2304.08303 [math.AP] (2023). MSC: 76B15 76B55 76B65 76M45 86A10 BibTeX Cite \textit{C. Bardos} et al., ``Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction'', Preprint, arXiv:2304.08303 [math.AP] (2023) Full Text: arXiv OA License
Bardos, Claude; Boutros, Daniel W.; Titi, Edriss S. Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains. arXiv:2304.01952 Preprint, arXiv:2304.01952 [math.AP] (2023). MSC: 35Q31 35Q35 76B03 35J05 35J08 35J25 35D30 BibTeX Cite \textit{C. Bardos} et al., ``H\"older regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains'', Preprint, arXiv:2304.01952 [math.AP] (2023) Full Text: arXiv OA License
Bardos, Claude W.; Nguyen, Trinh T.; Nguyen, Toan T.; Titi, Edriss S. The inviscid limit for the 2D Navier-Stokes equations in bounded domains. (English) Zbl 1497.35339 Kinet. Relat. Models 15, No. 3, 317-340 (2022). MSC: 35Q30 35Q35 76D05 76D10 PDFBibTeX XMLCite \textit{C. W. Bardos} et al., Kinet. Relat. Models 15, No. 3, 317--340 (2022; Zbl 1497.35339) Full Text: DOI arXiv
Titi, Edriss S.; Trabelsi, Saber Global well-posedness of a three-dimensional Brinkman-Forchheimer-Bénard convection model in porous media. arXiv:2204.03531 Preprint, arXiv:2204.03531 [math.AP] (2022). MSC: 35Q30 35Q35 76B03 86A10 93C20 37C50 76B75 34D06 BibTeX Cite \textit{E. S. Titi} and \textit{S. Trabelsi}, ``Global well-posedness of a three-dimensional Brinkman-Forchheimer-B\'enard convection model in porous media'', Preprint, arXiv:2204.03531 [math.AP] (2022) Full Text: arXiv OA License
Constantin, Peter (ed.); Mazzucato, Anna (ed.); Seregin, Gregory A. (ed.); Titi, Edriss S. (ed.) Mathematical aspects of hydrodynamics. Abstracts from the workshop held August 18–24, 2019. (English) Zbl 1450.00008 Oberwolfach Rep. 16, No. 3, 2333-2393 (2019). MSC: 00B05 00B25 76-06 76Bxx 35Q35 PDFBibTeX XMLCite \textit{P. Constantin} (ed.) et al., Oberwolfach Rep. 16, No. 3, 2333--2393 (2019; Zbl 1450.00008) Full Text: DOI
Titi, Edriss S.; Trabelsi, Saber Global well-posedness of a 3D MHD model in porous media. (English) Zbl 1431.76155 J. Geom. Mech. 11, No. 4, 621-637 (2019). MSC: 76W05 76S05 35Q30 35Q35 76B03 93C10 93C20 76B75 PDFBibTeX XMLCite \textit{E. S. Titi} and \textit{S. Trabelsi}, J. Geom. Mech. 11, No. 4, 621--637 (2019; Zbl 1431.76155) Full Text: DOI arXiv
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. (English) Zbl 1379.35325 Nonlinearity 30, No. 10, 3676-3718 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q86 35A01 35B45 35D35 35M86 35Q30 35Q35 76D03 76D09 86A10 PDFBibTeX XMLCite \textit{S. Hittmeir} et al., Nonlinearity 30, No. 10, 3676--3718 (2017; Zbl 1379.35325) Full Text: DOI arXiv
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. (English) Zbl 1339.35246 Nonlinearity 29, No. 4, 1292-1328 (2016). MSC: 35Q35 76B03 86A10 76S05 93B52 35D30 35D35 PDFBibTeX XMLCite \textit{P. A. Markowich} et al., Nonlinearity 29, No. 4, 1292--1328 (2016; Zbl 1339.35246) Full Text: DOI arXiv
Constantin, Peter (ed.); Friedlander, Susan (ed.); Seregin, Gregory A. (ed.); Titi, Edriss S. (ed.) Mathematical aspects of hydrodynamics. Abstracts from the workshop held August 9–15, 2015. (English) Zbl 1380.00057 Oberwolfach Rep. 12, No. 3, 2125-2187 (2015). MSC: 00B05 00B25 76-06 35-06 76Bxx 76Dxx 76Fxx 76W05 35Q30 35Q35 PDFBibTeX XMLCite \textit{P. Constantin} (ed.) et al., Oberwolfach Rep. 12, No. 3, 2125--2187 (2015; Zbl 1380.00057) Full Text: DOI
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers. (English) Zbl 1364.35277 Physica D 292-293, 51-61 (2015). MSC: 35Q35 35Q31 76B03 35A35 PDFBibTeX XMLCite \textit{M. C. Lopes Filho} et al., Physica D 292--293, 51--61 (2015; Zbl 1364.35277) Full Text: DOI arXiv
Larios, Adam; Titi, Edriss S. A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization. arXiv:1507.08203 Preprint, arXiv:1507.08203 [math.AP] (2015). MSC: 35B44 35A01 35Q30 35Q31 35Q35 76B03 BibTeX Cite \textit{A. Larios} and \textit{E. S. Titi}, ``A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization'', Preprint, arXiv:1507.08203 [math.AP] (2015) Full Text: arXiv OA License
Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S. Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. (English) Zbl 1305.35107 Commun. Inf. Syst. 13, No. 1, 97-122 (2013). MSC: 35Q31 86A10 35Q35 76B03 37N10 PDFBibTeX XMLCite \textit{C. Cao} et al., Commun. Inf. Syst. 13, No. 1, 97--122 (2013; Zbl 1305.35107) Full Text: DOI arXiv
Larios, Adam; Lunasin, Evelyn; Titi, Edriss S. Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion. (English) Zbl 1284.35343 J. Differ. Equations 255, No. 9, 2636-2654 (2013). MSC: 35Q35 76B03 76D03 76D09 35Q31 35A01 86A05 PDFBibTeX XMLCite \textit{A. Larios} et al., J. Differ. Equations 255, No. 9, 2636--2654 (2013; Zbl 1284.35343) Full Text: DOI arXiv
Larios, Adam; Titi, Edriss S. On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. (English) Zbl 1202.35172 Discrete Contin. Dyn. Syst., Ser. B 14, No. 2, 603-627 (2010). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q35 76B03 76F20 35B44 76W05 PDFBibTeX XMLCite \textit{A. Larios} and \textit{E. S. Titi}, Discrete Contin. Dyn. Syst., Ser. B 14, No. 2, 603--627 (2010; Zbl 1202.35172) Full Text: DOI arXiv
Ramos, Fabio; Titi, Edriss S. Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit. (English) Zbl 1387.35462 Discrete Contin. Dyn. Syst. 28, No. 1, 375-403 (2010). MSC: 35Q30 37L40 76A10 76D05 76D06 76M35 76F55 PDFBibTeX XMLCite \textit{F. Ramos} and \textit{E. S. Titi}, Discrete Contin. Dyn. Syst. 28, No. 1, 375--403 (2010; Zbl 1387.35462) Full Text: DOI arXiv
Linshiz, Jasmine S.; Titi, Edriss S. On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations. (English) Zbl 1375.35348 J. Stat. Phys. 138, No. 1-3, 305-332 (2010). MSC: 35Q31 35Q35 76A10 76B03 76B47 76M25 PDFBibTeX XMLCite \textit{J. S. Linshiz} and \textit{E. S. Titi}, J. Stat. Phys. 138, No. 1--3, 305--332 (2010; Zbl 1375.35348) Full Text: DOI arXiv
Bardos, Claude; Linshiz, Jasmine S.; Titi, Edriss S. Global regularity for a Birkhoff-Rott-\(\alpha \) approximation of the dynamics of vortex sheets of the 2D Euler equations. (English) Zbl 1143.76384 Physica D 237, No. 14-17, 1905-1911 (2008). MSC: 76B03 76B47 35Q35 PDFBibTeX XMLCite \textit{C. Bardos} et al., Physica D 237, No. 14--17, 1905--1911 (2008; Zbl 1143.76384) Full Text: DOI arXiv
Bardos, C.; Titi, E. S. Euler equations for incompressible ideal fluids. (English. Russian original) Zbl 1139.76010 Russ. Math. Surv. 62, No. 3, 409-451 (2007); translation from Usp. Mat. Nauk 62, No. 3, 5-46 (2007). MSC: 76B03 76F06 76-02 35Q30 PDFBibTeX XMLCite \textit{C. Bardos} and \textit{E. S. Titi}, Russ. Math. Surv. 62, No. 3, 409--451 (2007; Zbl 1139.76010); translation from Usp. Mat. Nauk 62, No. 3, 5--46 (2007) Full Text: DOI arXiv
Cao, Chongsheng; Titi, Edriss S. Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics. (English) Zbl 1151.35074 Ann. Math. (2) 166, No. 1, 245-267 (2007). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q35 76B15 76B60 86A05 76B03 86A10 PDFBibTeX XMLCite \textit{C. Cao} and \textit{E. S. Titi}, Ann. Math. (2) 166, No. 1, 245--267 (2007; Zbl 1151.35074) Full Text: DOI arXiv