Chae, Dongho; Constantin, Peter Remarks on type I blow-up for the 3D Euler equations and the 2D Boussinesq equations. (English) Zbl 1476.35184 J. Nonlinear Sci. 31, No. 5, Paper No. 77, 16 p. (2021). MSC: 35Q31 76B03 35B44 PDF BibTeX XML Cite \textit{D. Chae} and \textit{P. Constantin}, J. Nonlinear Sci. 31, No. 5, Paper No. 77, 16 p. (2021; Zbl 1476.35184) Full Text: DOI arXiv OpenURL
Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel Flexibility and rigidity in steady fluid motion. (English) Zbl 1467.76013 Commun. Math. Phys. 385, No. 1, 521-563 (2021). MSC: 76B03 76M60 76M45 76W05 35Q31 PDF BibTeX XML Cite \textit{P. Constantin} et al., Commun. Math. Phys. 385, No. 1, 521--563 (2021; Zbl 1467.76013) Full Text: DOI arXiv OpenURL
Constantin, Peter Regularity and inviscid limits in hydrodynamic models. (English) Zbl 1454.35253 Berselli, Luigi C. (ed.) et al., Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. Cham: Springer. Lect. Notes Math. 2272, 89-123 (2020). MSC: 35Q30 35Q31 35Q35 76D05 76A05 76F02 PDF BibTeX XML Cite \textit{P. Constantin}, Lect. Notes Math. 2272, 89--123 (2020; Zbl 1454.35253) Full Text: DOI OpenURL
Berselli, Luigi C. (ed.); Růžička, Michael (ed.) [Buckmaster, Tristan; Čanić, Sunčica; Constantin, Peter; Kiselev, Alexander A.] Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. (English) Zbl 1448.76006 Lecture Notes in Mathematics 2272. C.I.M.E. Foundation Subseries. Cham: Springer (ISBN 978-3-030-54898-8/pbk; 978-3-030-54899-5/ebook). vii, 164 p. (2020). MSC: 76-06 35-06 35Q30 35Q31 35Q35 76Dxx 00B25 PDF BibTeX XML Cite \textit{L. C. Berselli} (ed.) and \textit{M. Růžička} (ed.), Progress in mathematical fluid dynamics. Cetraro, Italy, June 17--21, 2019. Lecture notes given at the summer school. Cham: Springer (2020; Zbl 1448.76006) Full Text: DOI OpenURL
Constantin, Peter; La, Joonhyun; Vicol, Vlad Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications. (English) Zbl 1427.35189 Geom. Funct. Anal. 29, No. 6, 1773-1793 (2019). MSC: 35Q31 35Q92 35B65 76B47 PDF BibTeX XML Cite \textit{P. Constantin} et al., Geom. Funct. Anal. 29, No. 6, 1773--1793 (2019; Zbl 1427.35189) Full Text: DOI arXiv OpenURL
Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad Vorticity measures and the inviscid limit. (English) Zbl 1428.35352 Arch. Ration. Mech. Anal. 234, No. 2, 575-593 (2019). MSC: 35Q35 76B03 76D05 35B65 35D35 PDF BibTeX XML Cite \textit{P. Constantin} et al., Arch. Ration. Mech. Anal. 234, No. 2, 575--593 (2019; Zbl 1428.35352) Full Text: DOI arXiv OpenURL
Constantin, Peter; Vicol, Vlad Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. (English) Zbl 1384.35057 J. Nonlinear Sci. 28, No. 2, 711-724 (2018). MSC: 35Q30 35Q31 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{V. Vicol}, J. Nonlinear Sci. 28, No. 2, 711--724 (2018; Zbl 1384.35057) Full Text: DOI arXiv OpenURL
Constantin, Peter Analysis of hydrodynamic models. (English) Zbl 1402.76003 CBMS-NSF Regional Conference Series in Applied Mathematics 90. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-479-9/pbk; 978-1-61197-480-5/ebook). ix, 63 p. (2017). Reviewer: Gelu Paşa (Bucureşti) MSC: 76-02 76B03 76S05 35Q31 35Q35 PDF BibTeX XML Cite \textit{P. Constantin}, Analysis of hydrodynamic models. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2017; Zbl 1402.76003) Full Text: DOI 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
Constantin, Peter; Kukavica, Igor; Vicol, Vlad Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. (English) Zbl 1353.35233 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1569-1588 (2016). MSC: 35Q35 35Q30 76D09 35B65 PDF BibTeX XML Cite \textit{P. Constantin} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1569--1588 (2016; Zbl 1353.35233) Full Text: DOI arXiv OpenURL
Constantin, Peter Navier Stokes equations: a quick reminder and a few remarks. (English) Zbl 1351.35102 Nash, John Forbes jun. (ed.) et al., Open problems in mathematics. Cham: Springer (ISBN 978-3-319-32160-8/hbk; 978-3-319-32162-2/ebook). 259-271 (2016). MSC: 35Q30 76D05 PDF BibTeX XML Cite \textit{P. Constantin}, in: Open problems in mathematics. Cham: Springer. 259--271 (2016; Zbl 1351.35102) Full Text: DOI OpenURL
Constantin, Peter Far-field perturbations of vortex patches. (English) Zbl 1353.76011 Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20140277, 16 p. (2015). MSC: 76B47 35Q31 35B40 PDF BibTeX XML Cite \textit{P. Constantin}, Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20140277, 16 p. (2015; Zbl 1353.76011) Full Text: DOI OpenURL
Chae, Dongho; Constantin, Peter Remarks on a Liouville-type theorem for Beltrami flows. (English) Zbl 1328.35158 Int. Math. Res. Not. 2015, No. 20, 10012-10016 (2015). MSC: 35Q31 76B47 PDF BibTeX XML Cite \textit{D. Chae} and \textit{P. Constantin}, Int. Math. Res. Not. 2015, No. 20, 10012--10016 (2015; Zbl 1328.35158) Full Text: DOI arXiv OpenURL
Constantin, Peter; Vicol, Vlad; Wu, Jiahong Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. (English) Zbl 1422.35135 Adv. Math. 285, 352-393 (2015). MSC: 35Q35 35B65 35Q31 PDF BibTeX XML Cite \textit{P. Constantin} et al., Adv. Math. 285, 352--393 (2015; Zbl 1422.35135) Full Text: DOI arXiv OpenURL
Constantin, Peter; Kukavica, Igor; Vicol, Vlad On the inviscid limit of the Navier-Stokes equations. (English) Zbl 1309.35073 Proc. Am. Math. Soc. 143, No. 7, 3075-3090 (2015). MSC: 35Q35 35Q30 76D09 PDF BibTeX XML Cite \textit{P. Constantin} et al., Proc. Am. Math. Soc. 143, No. 7, 3075--3090 (2015; Zbl 1309.35073) Full Text: DOI arXiv OpenURL
Constantin, P. Local formulae for the hydrodynamic pressure and applications. (English. Russian original) Zbl 1301.35085 Russ. Math. Surv. 69, No. 3, 395-418 (2014); translation from Usp. Mat. Nauk 69, No. 3, 3-26 (2014). MSC: 35Q30 35Q31 76D05 35B65 PDF BibTeX XML Cite \textit{P. Constantin}, Russ. Math. Surv. 69, No. 3, 395--418 (2014; Zbl 1301.35085); translation from Usp. Mat. Nauk 69, No. 3, 3--26 (2014) Full Text: DOI arXiv OpenURL
Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. (English) Zbl 1294.35078 Commun. Math. Phys. 330, No. 2, 819-857 (2014). MSC: 35Q31 35R11 35A01 35A02 35R60 76D05 PDF BibTeX XML Cite \textit{P. Constantin} et al., Commun. Math. Phys. 330, No. 2, 819--857 (2014; Zbl 1294.35078) Full Text: DOI arXiv OpenURL
Constantin, Peter (ed.); Friedlander, Susan (ed.); Seregin, Gregory A. (ed.); Titi, Edriss S. (ed.) Mathematical aspects of hydrodynamics. Abstracts from the workshop held August 12–18, 2012. (English) Zbl 1349.00117 Oberwolfach Rep. 9, No. 3, 2389-2427 (2012). MSC: 00B05 00B25 76-06 76D05 35Q30 35Q31 35Q35 PDF BibTeX XML Cite \textit{P. Constantin} (ed.) et al., Oberwolfach Rep. 9, No. 3, 2389--2427 (2012; Zbl 1349.00117) Full Text: DOI OpenURL
Constantin, Peter; Sun, Weiran Remarks on Oldroyd-B and related complex fluid models. (English) Zbl 1291.35201 Commun. Math. Sci. 10, No. 1, 33-73 (2012). MSC: 35Q31 35Q35 35Q70 35Q84 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{W. Sun}, Commun. Math. Sci. 10, No. 1, 33--73 (2012; Zbl 1291.35201) Full Text: DOI arXiv OpenURL
Constantin, Peter; Vicol, Vlad Nonlinear maximum principles for dissipative linear nonlocal operators and applications. (English) Zbl 1256.35078 Geom. Funct. Anal. 22, No. 5, 1289-1321 (2012). MSC: 35Q35 76B03 35Q31 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{V. Vicol}, Geom. Funct. Anal. 22, No. 5, 1289--1321 (2012; Zbl 1256.35078) Full Text: DOI arXiv OpenURL
Chae, Dongho; Constantin, Peter; Wu, Jiahong Deformation and symmetry in the inviscid SQG and the 3D Euler equations. (English) Zbl 1253.35109 J. Nonlinear Sci. 22, No. 5, 665-688 (2012). MSC: 35Q31 35B35 35B65 76D03 PDF BibTeX XML Cite \textit{D. Chae} et al., J. Nonlinear Sci. 22, No. 5, 665--688 (2012; Zbl 1253.35109) Full Text: DOI OpenURL
Chae, Dongho; Constantin, Peter; Wu, Jiahong Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. (English) Zbl 1266.76010 Arch. Ration. Mech. Anal. 202, No. 1, 35-62 (2011). MSC: 76B03 35Q31 PDF BibTeX XML Cite \textit{D. Chae} et al., Arch. Ration. Mech. Anal. 202, No. 1, 35--62 (2011; Zbl 1266.76010) Full Text: DOI arXiv OpenURL
Constantin, Peter Partial differential equation problems from simple to complex fluids. (English) Zbl 1158.35071 Nonlinearity 21, No. 11, T239-T244 (2008). MSC: 35Q30 35Q35 76D06 76D03 PDF BibTeX XML Cite \textit{P. Constantin}, Nonlinearity 21, No. 11, T239--T244 (2008; Zbl 1158.35071) Full Text: DOI OpenURL
Constantin, Peter Eulerian-Lagrange hydrodynamic equations. (English) Zbl 1083.35087 Chen, Gui-Qiang (ed.) et al., Nonlinear partial differential equations and related analysis. The Emphasis Year 2002–2003 program, Evanston, IL, USA, September 2002–July 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3533-5/pbk). Contemporary Mathematics 371, 93-106 (2005). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 35Q30 76D05 76D17 76B47 PDF BibTeX XML Cite \textit{P. Constantin}, Contemp. Math. 371, 93--106 (2005; Zbl 1083.35087) OpenURL
Constantin, Peter Transport in rotating fluids. (English) Zbl 1057.76064 Discrete Contin. Dyn. Syst. 10, No. 1-2, 165-176 (2004). Reviewer: Uwe Kähler (Aveiro) MSC: 76U05 35Q05 35Q30 76D05 PDF BibTeX XML Cite \textit{P. Constantin}, Discrete Contin. Dyn. Syst. 10, No. 1--2, 165--176 (2004; Zbl 1057.76064) Full Text: DOI arXiv OpenURL
Constantin, Peter Three lectures on mathematical fluid mechanics. (English) Zbl 1007.35056 Robinson, James C. (ed.) et al., From finite to infinite dimensional dynamical systems. Proceedings of the NATO advanced study institute, Cambridge, UK, August 21-September 1, 1995. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 19, 145-175 (2001). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 35Q35 76D05 76B03 76F06 PDF BibTeX XML Cite \textit{P. Constantin}, NATO Sci. Ser. II, Math. Phys. Chem. 19, 145--175 (2001; Zbl 1007.35056) OpenURL
Constantin, Peter An Eulerian-Lagrangian approach for incompressible fluids: Local theory. (English) Zbl 0997.76009 J. Am. Math. Soc. 14, No. 2, 263-278 (2001). Reviewer: Jorge Ferreira (Maringá) MSC: 76B03 35Q35 PDF BibTeX XML Cite \textit{P. Constantin}, J. Am. Math. Soc. 14, No. 2, 263--278 (2001; Zbl 0997.76009) Full Text: DOI arXiv OpenURL
Constantin, P. Navier-Stokes equations and fluid turbulence. (English) Zbl 1002.76038 Ball, J. M. (ed.) et al., ICIAM 99. Proceedings of the 4th international congress on industrial & applied mathematics, Edinburgh, GB, July 5-9, 1999. Oxford: Oxford University Press. 35-46 (2000). MSC: 76F02 76D05 76V05 80A20 PDF BibTeX XML Cite \textit{P. Constantin}, in: ICIAM 99. Proceedings of the 4th international congress on industrial \& applied mathematics, Edinburgh, GB, July 5--9, 1999. Oxford: Oxford University Press. 35--46 (2000; Zbl 1002.76038) Full Text: arXiv OpenURL
Constantin, Peter The Euler equations and nonlocal conservative Riccati equations. (English) Zbl 0970.76017 Int. Math. Res. Not. 2000, No. 9, 455-465 (2000). Reviewer: Igor V.Skrypnik (Donetsk) MSC: 76B03 35Q35 PDF BibTeX XML Cite \textit{P. Constantin}, Int. Math. Res. Not. 2000, No. 9, 455--465 (2000; Zbl 0970.76017) Full Text: DOI arXiv OpenURL
Constantin, Peter Absence of proper nondegenerate generalized self-similar singularities. (English) Zbl 0945.76007 J. Stat. Phys. 93, No. 3-4, 777-786 (1998). MSC: 76B03 35Q35 PDF BibTeX XML Cite \textit{P. Constantin}, J. Stat. Phys. 93, No. 3--4, 777--786 (1998; Zbl 0945.76007) Full Text: DOI OpenURL
Constantin, Peter Singular limits in fluid mechanics. (English) Zbl 0931.76014 Alber, Mark (ed.) et al., Current and future directions in applied mathematics. Proceedings of a symposium, Notre Dame, IN, USA, April 1996. Boston, MA: Birkhäuser. 109-136 (1997). Reviewer: O.Titow (Berlin) MSC: 76D05 76F06 35Q30 76M45 PDF BibTeX XML Cite \textit{P. Constantin}, in: Current and future directions in applied mathematics. Proceedings of a symposium, Notre Dame, IN, USA, April 1996. Boston, MA: Birkhäuser. 109--136 (1997; Zbl 0931.76014) OpenURL
Constantin, Peter; Wu, Jiahong Statistical solutions of the Navier-Stokes equations on the phase space of vorticity and the inviscid limits. (English) Zbl 0893.76013 J. Math. Phys. 38, No. 6, 3031-3045 (1997). MSC: 76D05 76A02 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{J. Wu}, J. Math. Phys. 38, No. 6, 3031--3045 (1997; Zbl 0893.76013) Full Text: DOI OpenURL
Constantin, Peter; Wu, Jiahong The inviscid limit for non-smooth vorticity. (English) Zbl 0859.76015 Indiana Univ. Math. J. 45, No. 1, 67-81 (1996). MSC: 76D05 35Q30 35Q35 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{J. Wu}, Indiana Univ. Math. J. 45, No. 1, 67--81 (1996; Zbl 0859.76015) Full Text: DOI Link OpenURL
Constantin, Peter; Fefferman, Charles; Majda, Andrew J. Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. (English) Zbl 0853.35091 Commun. Partial Differ. Equations 21, No. 3-4, 559-571 (1996). MSC: 35Q35 35B40 76B47 PDF BibTeX XML Cite \textit{P. Constantin} et al., Commun. Partial Differ. Equations 21, No. 3--4, 559--571 (1996; Zbl 0853.35091) Full Text: DOI OpenURL
Constantin, Peter Nonlinear inviscid incompressible dynamics. (English) Zbl 0899.76103 Physica D 86, No. 1-2, 212-219 (1995). MSC: 76B99 35Q35 PDF BibTeX XML Cite \textit{P. Constantin}, Physica D 86, No. 1--2, 212--219 (1995; Zbl 0899.76103) Full Text: DOI OpenURL
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G. Singular front formation in a model for quasigeostrophic flow. (English) Zbl 0826.76014 Phys. Fluids 6, No. 1, 9-11 (1994). MSC: 76B99 86A05 PDF BibTeX XML Cite \textit{P. Constantin} et al., Phys. Fluids 6, No. 1, 9--11 (1994; Zbl 0826.76014) Full Text: DOI Link OpenURL
Constantin, Peter; E, Weinan; Titi, Edriss S. Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. (English) Zbl 0818.35085 Commun. Math. Phys. 165, No. 1, 207-209 (1994). MSC: 35Q31 76D05 PDF BibTeX XML Cite \textit{P. Constantin} et al., Commun. Math. Phys. 165, No. 1, 207--209 (1994; Zbl 0818.35085) Full Text: DOI Backlinks: MO OpenURL
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. (English) Zbl 0809.35057 Nonlinearity 7, No. 6, 1495-1553 (1994). MSC: 35L67 76L05 35B40 76E20 65M99 65N99 PDF BibTeX XML Cite \textit{P. Constantin} et al., Nonlinearity 7, No. 6, 1495--1553 (1994; Zbl 0809.35057) Full Text: DOI Link OpenURL
Constantin, Peter Active scalars and the Euler equations. (English) Zbl 0812.35095 Tatra Mt. Math. Publ. 4, 25-38 (1994). Reviewer: I.Sh.Mogilevskij (Tver’) MSC: 35Q35 35Q05 76B47 35B40 PDF BibTeX XML Cite \textit{P. Constantin}, Tatra Mt. Math. Publ. 4, 25--38 (1994; Zbl 0812.35095) Full Text: EuDML OpenURL
Constantin, Peter Geometric and analytic studies in turbulence. (English) Zbl 0808.76035 Sirovich, Lawrence (ed.), Trends and perspectives in applied mathematics. New York: Springer-Verlag. Appl. Math. Sci. 100, 21-54 (1994). MSC: 76F10 76D05 35Q30 PDF BibTeX XML Cite \textit{P. Constantin}, Appl. Math. Sci. 100, 21--54 (1994; Zbl 0808.76035) OpenURL
Constantin, P.; Lax, P. D.; Majda, A. A simple one-dimensional model for the three-dimensional vorticity equation. (English) Zbl 0615.76029 Commun. Pure Appl. Math. 38, 715-724 (1985). MSC: 76B47 35Q30 35B40 46E35 PDF BibTeX XML Cite \textit{P. Constantin} et al., Commun. Pure Appl. Math. 38, 715--724 (1985; Zbl 0615.76029) Full Text: DOI OpenURL