Wen, Baole; Goluskin, David; Doering, Charles R. Steady Rayleigh-Bénard convection between no-slip boundaries. (English) Zbl 1514.76029 J. Fluid Mech. 933, Paper No. R4, 12 p. (2022). MSC: 76E06 76E30 76F35 76R10 80A19 PDFBibTeX XMLCite \textit{B. Wen} et al., J. Fluid Mech. 933, Paper No. R4, 12 p. (2022; Zbl 1514.76029) Full Text: DOI arXiv
Toppaladoddi, Srikanth; Wells, Andrew J.; Doering, Charles R.; Wettlaufer, John S. Thermal convection over fractal surfaces. (English) Zbl 1461.76247 J. Fluid Mech. 907, Paper No. A12, 26 p. (2021). MSC: 76F35 76R05 PDFBibTeX XMLCite \textit{S. Toppaladoddi} et al., J. Fluid Mech. 907, Paper No. A12, 26 p. (2021; Zbl 1461.76247) Full Text: DOI arXiv
Doering, Charles R. Turning up the heat in turbulent thermal convection. (English) Zbl 1485.76050 Proc. Natl. Acad. Sci. USA 117, No. 18, 9671-9673 (2020). MSC: 76F35 PDFBibTeX XMLCite \textit{C. R. Doering}, Proc. Natl. Acad. Sci. USA 117, No. 18, 9671--9673 (2020; Zbl 1485.76050) Full Text: DOI Link
Wen, Baole; Goluskin, David; Leduc, Matthew; Chini, Gregory P.; Doering, Charles R. Steady Rayleigh-Bénard convection between stress-free boundaries. (English) Zbl 1460.76322 J. Fluid Mech. 905, Paper No. R4, 13 p. (2020). MSC: 76E17 76F35 PDFBibTeX XMLCite \textit{B. Wen} et al., J. Fluid Mech. 905, Paper No. R4, 13 p. (2020; Zbl 1460.76322) Full Text: DOI arXiv
Doering, Charles R. Thermal forcing and ‘classical’ and ‘ultimate’ regimes of Rayleigh-Bénard convection. (English) Zbl 1415.76309 J. Fluid Mech. 868, 1-4 (2019). MSC: 76F35 76R05 PDFBibTeX XMLCite \textit{C. R. Doering}, J. Fluid Mech. 868, 1--4 (2019; Zbl 1415.76309) Full Text: DOI
Souza, Andre N.; Doering, Charles R. Maximal transport in the Lorenz equations. (English) Zbl 1342.80005 Phys. Lett., A 379, No. 6, 518-523 (2015). MSC: 80A20 PDFBibTeX XMLCite \textit{A. N. Souza} and \textit{C. R. Doering}, Phys. Lett., A 379, No. 6, 518--523 (2015; Zbl 1342.80005) Full Text: DOI
Gallet, Basile; Doering, Charles R. Exact two-dimensionalization of low-magnetic-Reynolds-number flows subject to a strong magnetic field. (English) Zbl 1328.76075 J. Fluid Mech. 773, 154-177 (2015). MSC: 76W05 PDFBibTeX XMLCite \textit{B. Gallet} and \textit{C. R. Doering}, J. Fluid Mech. 773, 154--177 (2015; Zbl 1328.76075) Full Text: DOI arXiv
Hagstrom, George I.; Doering, Charles R. Bounds on surface stress-driven shear flow. (English) Zbl 1302.76050 J. Nonlinear Sci. 24, No. 1, 185-199 (2014). MSC: 76D05 PDFBibTeX XMLCite \textit{G. I. Hagstrom} and \textit{C. R. Doering}, J. Nonlinear Sci. 24, No. 1, 185--199 (2014; Zbl 1302.76050) Full Text: DOI arXiv
Whitehead, Jared P.; Doering, Charles R. Internal heating driven convection at infinite Prandtl number. (English) Zbl 1272.76230 J. Math. Phys. 52, No. 9, 093101, 11 p. (2011). MSC: 76R05 76F35 76E15 76D50 80A20 PDFBibTeX XMLCite \textit{J. P. Whitehead} and \textit{C. R. Doering}, J. Math. Phys. 52, No. 9, 093101, 11 p. (2011; Zbl 1272.76230) Full Text: DOI arXiv
Rollin, B.; Dubief, Y.; Doering, C. R. Variations on Kolmogorov flow: turbulent energy dissipation and mean flow profiles. (English) Zbl 1225.76151 J. Fluid Mech. 670, 204-213 (2011). MSC: 76F10 76M30 PDFBibTeX XMLCite \textit{B. Rollin} et al., J. Fluid Mech. 670, 204--213 (2011; Zbl 1225.76151) Full Text: DOI arXiv
Chini, Gregory P.; Dianati, Navid; Zhang, Zhexuan; Doering, Charles R. Low-dimensional models from upper bound theory. (English) Zbl 1372.37121 Physica D 240, No. 2, 241-248 (2011). MSC: 37L05 37L65 37N10 76D05 76S05 PDFBibTeX XMLCite \textit{G. P. Chini} et al., Physica D 240, No. 2, 241--248 (2011; Zbl 1372.37121) Full Text: DOI
Schumacher, Jörg; Eckhardt, Bruno; Doering, Charles R. Extreme vorticity growth in Navier-Stokes turbulence. (English) Zbl 1235.76030 Phys. Lett., A 374, No. 6, 861-865 (2010). MSC: 76D17 76F05 76F55 49S05 PDFBibTeX XMLCite \textit{J. Schumacher} et al., Phys. Lett., A 374, No. 6, 861--865 (2010; Zbl 1235.76030) Full Text: DOI arXiv
Cheskidov, Alexey; Doering, Charles R.; Petrov, Nikola P. Energy dissipation in fractal-forced flow. (English) Zbl 1144.81330 J. Math. Phys. 48, No. 6, 065208, 10 p. (2007). MSC: 76F02 76D05 PDFBibTeX XMLCite \textit{A. Cheskidov} et al., J. Math. Phys. 48, No. 6, 065208, 10 p. (2007; Zbl 1144.81330) Full Text: DOI arXiv
Alexakis, Alexandros; Doering, Charles R. Energy and enstrophy dissipation in steady state 2d turbulence. (English) Zbl 1236.76029 Phys. Lett., A 359, No. 6, 652-657 (2006). MSC: 76F99 PDFBibTeX XMLCite \textit{A. Alexakis} and \textit{C. R. Doering}, Phys. Lett., A 359, No. 6, 652--657 (2006; Zbl 1236.76029) Full Text: DOI arXiv
Bowman, John C.; Doering, Charles R.; Eckhardt, Bruno; Davoudi, Jahanshah; Roberts, Malcolm; Schumacher, Jörg Links between dissipation, intermittency, and helicity in the GOY model revisited. (English) Zbl 1099.76024 Physica D 218, No. 1, 1-10 (2006). MSC: 76F02 PDFBibTeX XMLCite \textit{J. C. Bowman} et al., Physica D 218, No. 1, 1--10 (2006; Zbl 1099.76024) Full Text: DOI arXiv
Gibbon, J. D.; Doering, Charles R. Intermittency and regularity issues in \(3D\) Navier-Stokes turbulence. (English) Zbl 1129.76014 Arch. Ration. Mech. Anal. 177, No. 1, 115-150 (2005). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 76D03 76F06 35Q30 PDFBibTeX XMLCite \textit{J. D. Gibbon} and \textit{C. R. Doering}, Arch. Ration. Mech. Anal. 177, No. 1, 115--150 (2005; Zbl 1129.76014) Full Text: DOI arXiv
Lu, Lu; Doering, Charles R.; Busse, Friedrich H. Bounds on convection driven by internal heating. (English) Zbl 1071.76027 J. Math. Phys. 45, No. 7, 2967-2986 (2004). MSC: 76F35 76R05 80A20 PDFBibTeX XMLCite \textit{L. Lu} et al., J. Math. Phys. 45, No. 7, 2967--2986 (2004; Zbl 1071.76027) Full Text: DOI Link
Doering, C. R.; Eckhardt, B.; Schumacher, J. Energy dissipation in body-forced plane shear flow. (English) Zbl 1051.76028 J. Fluid Mech. 494, 275-284 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76F10 76M30 PDFBibTeX XMLCite \textit{C. R. Doering} et al., J. Fluid Mech. 494, 275--284 (2003; Zbl 1051.76028) Full Text: DOI arXiv
Doering, Charles R.; Foias, Ciprian Energy dissipation in body-forced turbulence. (English) Zbl 1029.76025 J. Fluid Mech. 467, 289-306 (2002). MSC: 76F02 76D05 PDFBibTeX XMLCite \textit{C. R. Doering} and \textit{C. Foias}, J. Fluid Mech. 467, 289--306 (2002; Zbl 1029.76025) Full Text: DOI
Doering, Charles R.; Gibbon, J. D. Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations. (English) Zbl 0997.35046 Physica D 165, No. 3-4, 163-175 (2002). MSC: 35Q30 76F60 76D05 PDFBibTeX XMLCite \textit{C. R. Doering} and \textit{J. D. Gibbon}, Physica D 165, No. 3--4, 163--175 (2002; Zbl 0997.35046) Full Text: DOI
Doering, Charles R.; Spiegel, Edward A.; Worthing, Rodney A. Energy dissipation in a shear layer with suction. (English) Zbl 1184.76140 Phys. Fluids 12, No. 8, Paper No. 1955, 14 p. (2000). MSC: 76-XX PDFBibTeX XMLCite \textit{C. R. Doering} et al., Phys. Fluids 12, No. 8, Paper No. 1955, 14 p. (2000; Zbl 1184.76140) Full Text: DOI Link
Doering, Charles R.; Spiegel, Edward A.; Worthing, Rodney A. Laminar and turbulent dissipation in shear flow with suction. (English) Zbl 1035.76022 Broomhead, David S. (ed.) et al., Stochastic and chaotic dynamics in The Lakes. Papers from the conference, STOCHAOS, Ambleside, UK, August 1999. Melville, NY: American Institute of Physics (ISBN 1-56396-915-7/hbk). AIP Conf. Proc. 502, 497-503 (2000). Reviewer: Alexander V. Gemintern (Haifa) MSC: 76F10 76E15 PDFBibTeX XMLCite \textit{C. R. Doering} et al., AIP Conf. Proc. 502, 497--503 (2000; Zbl 1035.76022)
Doering, C. R. Does turbulence saturate global transport estimates? (English) Zbl 1003.76035 Gyr, Albert (ed.) et al., Fundamental problematic issues in turbulence. 2nd Monte Verita colloquium, Monte Verita, Switzerland, March 23-27, 1998. Basel: Birkhäuser. 3-16 (1999). MSC: 76F02 76D05 76D03 PDFBibTeX XMLCite \textit{C. R. Doering}, in: Fundamental problematic issues in turbulence. 2nd Monte Verita colloquium, Monte Verita, Switzerland, March 23--27, 1998. Basel: Birkhäuser. 3--16 (1999; Zbl 1003.76035)
Constantin, Peter; Doering, Charles R. Infinite Prandtl number convection. (English) Zbl 0935.76083 J. Stat. Phys. 94, No. 1-2, 159-172 (1999). MSC: 76R10 76F35 80A20 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{C. R. Doering}, J. Stat. Phys. 94, No. 1--2, 159--172 (1999; Zbl 0935.76083) Full Text: DOI
Doering, Charles R.; Wang, Xiaoming Attractor dimension estimates for two-dimensional shear flows. (English) Zbl 0956.76017 Physica D 123, No. 1-4, 206-222 (1998). MSC: 76D05 35Q30 76F20 37N10 76F10 PDFBibTeX XMLCite \textit{C. R. Doering} and \textit{X. Wang}, Physica D 123, No. 1--4, 206--222 (1998; Zbl 0956.76017) Full Text: DOI
Constantin, Peter; Doering, Charles R.; Titi, Edriss S. Rigorous estimates of small scales in turbulent flows. (English) Zbl 0862.35083 J. Math. Phys. 37, No. 12, 6152-6156 (1996). MSC: 35Q30 76D05 76F05 PDFBibTeX XMLCite \textit{P. Constantin} et al., J. Math. Phys. 37, No. 12, 6152--6156 (1996; Zbl 0862.35083) Full Text: DOI
Constantin, Peter; Doering, Charles R. Heat transfer in convective turbulence. (English) Zbl 0899.35078 Nonlinearity 9, No. 4, 1049-1060 (1996). MSC: 35Q35 80A20 76F10 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{C. R. Doering}, Nonlinearity 9, No. 4, 1049--1060 (1996; Zbl 0899.35078) Full Text: DOI
Doering, Charles R.; Gibbon, J. D. Applied analysis of the Navier-Stokes equations. (English) Zbl 0838.76016 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge Univ. Press. xiii, 217 p. £14.95; $ 24.95/pbk, £40.00; $ 59.95/hbk (1995). Reviewer: O.Titow (Berlin) MSC: 76D05 76-02 35Q30 37D45 37C70 PDFBibTeX XMLCite \textit{C. R. Doering} and \textit{J. D. Gibbon}, Applied analysis of the Navier-Stokes equations. Cambridge: Cambridge Univ. Press (1995; Zbl 0838.76016) Full Text: DOI
Doering, Charles R.; Gibbon, John D.; Levermore, C. David Weak and strong solutions of the complex Ginzburg-Landau equation. (English) Zbl 0810.35119 Physica D 71, No. 3, 285-318 (1994). MSC: 35Q55 35Q35 76F05 PDFBibTeX XMLCite \textit{C. R. Doering} et al., Physica D 71, No. 3, 285--318 (1994; Zbl 0810.35119) Full Text: DOI
Bartucelli, M. V.; Doering, C. R.; Gibbon, J. D.; Malham, S. J. A. Length scales in solutions of the Navier-Stokes equations. (English) Zbl 0782.35056 Nonlinearity 6, No. 4, 549-568 (1993). Reviewer: G.Jumarie (Montreal) MSC: 35Q30 76F05 35Q55 PDFBibTeX XMLCite \textit{M. V. Bartucelli} et al., Nonlinearity 6, No. 4, 549--568 (1993; Zbl 0782.35056) Full Text: DOI
Glauser, Mark; Zheng, Xiaowei; Doering, Charles R. The dynamics of organized structures in the axisymmetric jet mixing layer. (English) Zbl 0728.76056 Turbulence and coherent structures, Sel. Pap. Conf., Organ. Struct. Turbul. Fluid Mech., Grenoble/Fr. 1989, Fluid Mech. Appl. 2, 253-265 (1991). MSC: 76F99 PDFBibTeX XML
Doering, Charles R.; Gibbon, John D. Note on the Constantin-Foias-Temam attractor dimension estimate for two- dimensional turbulence. (English) Zbl 0728.76030 Physica D 48, No. 2-3, 471-480 (1991). MSC: 76D05 35Q30 76F99 37C70 PDFBibTeX XMLCite \textit{C. R. Doering} and \textit{J. D. Gibbon}, Physica D 48, No. 2--3, 471--480 (1991; Zbl 0728.76030) Full Text: DOI
Bartuccelli, Michele; Constantin, Petre; Doering, Charles R.; Gibbon, John D.; Gisselfält, Magnus On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation. (English) Zbl 0702.76061 Physica D 44, No. 3, 421-444 (1990). MSC: 76F99 37D45 PDFBibTeX XMLCite \textit{M. Bartuccelli} et al., Physica D 44, No. 3, 421--444 (1990; Zbl 0702.76061) Full Text: DOI