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Doering, Charles R.

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Author ID: doering.charles-r Recent zbMATH articles by "Doering, Charles R."
Published as: Doering, C.; Doering, C. R.; Doering, Charles; Doering, Charles R.
Homepage: http://www.lsa.umich.edu/math/people?uniqname=doering
External Links: MGP · Wikidata
Documents Indexed: 100 Publications since 1987, including 1 Book
all top 5

Co-Authors

4 single-authored
16 Gibbon, John D.
7 Constantin, Peter
6 Thiffeault, Jean-Luc
5 Eckhardt, Bruno
4 Chini, Gregory P.
4 Lin, Zhi
4 Schumacher, Jörg
4 Worthing, Rodney A.
3 Goluskin, David
3 Holm, Darryl D.
3 Kim, Hyejin
3 Levermore, C. David
3 Lin, Yen Ting
3 Lu, Lu
3 Lunasin, Evelyn M.
3 Mazzucato, Anna L.
3 Souza, Andre N.
3 Spiegel, Edward A.
3 Titi, Edriss Saleh
3 Tobasco, Ian
3 Whitehead, Jared P.
2 Bartuccelli, Michele V.
2 Bod’ová, Katarína
2 Burschka, Martin A.
2 Dianati, Navid
2 Dontcheva, Lubomira A.
2 Gallet, Basile
2 Hagan, Patrick S.
2 Johnston, Hans
2 Kurganov, Alexander
2 Miles, Christopher J.
2 Nicolaenko, Basil
2 Novikov, Alexei
2 Otero, Jesse
2 Sander, Leonard M.
2 Sargsyan, Khachik V.
2 Shaw, Tiffany A.
2 Smereka, Peter
2 Wen, Baole
1 Abbott, Derek
1 Alexakis, Alexandros
1 Ayala, Diego
1 Balci, Nusret
1 Bartucelli, M. V.
1 ben-Avraham, Daniel
1 Ben-Naim, Eli
1 Bezrukov, Sergey M.
1 Bowman, John C.
1 Brandt, Howard Edward
1 Busse, Friedrich Hermann
1 Caves, Carlton M.
1 Chakraborty, Bulbul
1 Chertock, Alina E.
1 Cheskidov, Alexey
1 Conlon, Joseph G.
1 Davoudi, Jahanshah
1 Dubief, Yves
1 Ferry, David K.
1 Foiaş, Ciprian Ilie
1 Fokas, Athanassios S.
1 Gammack, David
1 Gaveau, Bernard
1 Gea-Banacloche, Julio
1 Gisselfält, Magnus
1 Glauser, Mark
1 Goldburg, Walter I.
1 Hagstrom, George I.
1 Hamilton, Alex R.
1 Hassanzadeh, Pedram
1 Horsthemke, Werner
1 Kashdan, Eugene
1 Kim, Seunghwan
1 Kirschner, Denise E.
1 Kish, Laszlo B.
1 Kłosek, Małgorzata M.
1 Kukavica, Igor
1 Lathrop, Daniel P.
1 Leduc, Matthew
1 Lidar, Daniel M.
1 Malham, Simon J. A.
1 Marcotte, Florence
1 Müller, Carl E.
1 Newton, Paul K.
1 Otto, Felix
1 Park, Seon Hee
1 Petrov, Nikola P.
1 Petrova, Guergana
1 Redner, Sidney
1 Renardy, Michael
1 Reznikoff, Maria G.
1 Roberts, Malcolm
1 Rollin, B.
1 Ryu, Chang Su
1 Schulman, Lawrence S.
1 Simon, Thilo M.
1 Thomases, Becca
1 Toppaladoddi, Srikanth
1 Waddell, Jack N.
1 Wang, Xiaoming
1 Wells, Andrew J.
...and 8 more Co-Authors

Publications by Year

Citations contained in zbMATH

84 Publications have been cited 1,313 times in 850 Documents Cited by Year
Applied analysis of the Navier-Stokes equations. Zbl 0838.76016
Doering, Charles R.; Gibbon, J. D.
171
1995
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
93
1988
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
87
1994
On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation. Zbl 0702.76061
Bartuccelli, Michele; Constantin, Petre; Doering, Charles R.; Gibbon, John D.; Gisselfält, Magnus
54
1990
Infinite Prandtl number convection. Zbl 0935.76083
Constantin, Peter; Doering, Charles R.
50
1999
Extinction times for birth-death processes: Exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation. Zbl 1072.60092
Doering, Charles R.; Sargsyan, Khachik V.; Sander, Leonard M.
49
2005
Energy dissipation in body-forced turbulence. Zbl 1029.76025
Doering, Charles R.; Foias, Ciprian
45
2002
Optimal stirring strategies for passive scalar mixing. Zbl 1241.76361
Lin, Zhi; Thiffeault, Jean-Luc; Doering, Charles R.
39
2011
Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations. Zbl 1023.76513
Doering, Charles R.; Titi, Edriss S.
34
1995
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080
Doering, Charles R.; Otto, Felix; Reznikoff, Maria G.
32
2006
Bounds on Rayleigh-Bénard convection with an imposed heat flux. Zbl 1026.76048
Otero, Jesse; Wittenberg, Ralf W.; Worthing, Rodney A.; Doering, Charles R.
28
2002
On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520
Doering, Charles R.; Constantin, Peter
27
2001
High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462
Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R.
26
2004
Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations. Zbl 0956.76018
Gibbon, J. D.; Fokas, A. S.; Doering, C. R.
21
1999
Heat transfer in convective turbulence. Zbl 0899.35078
Constantin, Peter; Doering, Charles R.
21
1996
A bound on mixing efficiency for the advection-diffusion equation. Zbl 1065.76184
Thiffeault, Jean-Luc; Doering, Charles R.; Gibbon, John D.
20
2004
Wall to wall optimal transport. Zbl 1329.74253
Hassanzadeh, Pedram; Chini, Gregory P.; Doering, Charles R.
19
2014
The 3D Navier-Stokes problem. Zbl 1157.76008
Doering, Charles R.
19
2009
Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality. Zbl 1025.60027
Doering, Charles R.; Mueller, Carl; Smereka, Peter
19
2003
Statics and dynamics of a diffusion-limited reaction: anomalous kinetics, nonequilibrium self-ordering, and a dynamic transition. Zbl 1086.82556
ben-Avraham, Daniel; Burschka, Martin A.; Doering, Charles R.
18
1990
Limits on enstrophy growth for solutions of the three-dimensional Navier-Stokes equations. Zbl 1172.35055
Lu, Lu; Doering, Charles R.
17
2008
Stirring up trouble: multi-scale mixing measures for steady scalar sources. Zbl 1128.35087
Shaw, Tiffany A.; Thiffeault, Jean-Luc; Doering, Charles R.
17
2007
Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
16
2012
Failure of energy stability in Oldroyd-B fluids at arbitrarily low Reynolds numbers. Zbl 1195.76174
Doering, Charles R.; Eckhardt, Bruno; Schumacher, Jörg
16
2006
Bounds for heat transport in a porous layer. Zbl 0933.76090
Doering, Charles R.; Constantin, Peter
16
1998
Energy dissipation in a shear layer with suction. Zbl 1184.76140
Doering, Charles R.; Spiegel, Edward A.; Worthing, Rodney A.
15
2000
On the shape and dimension of the Lorenz attractor. Zbl 0838.34070
Doering, Charles R.; Gibbon, J. D.
15
1995
Mean exit times for particles driven by weakly colored noise. Zbl 0681.60052
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
14
1989
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion. Zbl 1398.35164
Doering, Charles R.; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming
13
2018
Energy and enstrophy dissipation in steady state 2d turbulence. Zbl 1236.76029
Alexakis, Alexandros; Doering, Charles R.
13
2006
Length scales in solutions of the Navier-Stokes equations. Zbl 0782.35056
Bartucelli, M. V.; Doering, C. R.; Gibbon, J. D.; Malham, S. J. A.
13
1993
Bounds for convection between rough boundaries. Zbl 06756686
Goluskin, David; Doering, Charles R.
12
2016
Computational approaches to aspect-ratio-dependent upper bounds and heat flux in porous medium convection. Zbl 1370.76182
Wen, Baole; Chini, Gregory P.; Dianati, Navid; Doering, Charles R.
12
2013
Rigid bounds on heat transport by a fluid between slippery boundaries. Zbl 1275.76192
Whitehead, Jared P.; Doering, Charles R.
11
2012
On travelling waves for the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov equation. Zbl 1095.82008
Conlon, Joseph G.; Doering, Charles R.
11
2005
Variational bounds in dissipative systems. Zbl 0900.35049
Constantin, Peter; Doering, Charles
11
1995
Exact two-dimensionalization of low-magnetic-Reynolds-number flows subject to a strong magnetic field. Zbl 1328.76075
Gallet, Basile; Doering, Charles R.
10
2015
Symmetric factorization of the conformation tensor in viscoelastic fluid models. Zbl 1359.76023
Balci, Nusret; Thomases, Becca; Renardy, Michael; Doering, Charles R.
10
2011
Extreme vorticity growth in Navier-Stokes turbulence. Zbl 1235.76030
Schumacher, Jörg; Eckhardt, Bruno; Doering, Charles R.
10
2010
Internal heating driven convection at infinite Prandtl number. Zbl 1272.76230
Whitehead, Jared P.; Doering, Charles R.
9
2011
A numerical method for some stochastic differential equations with multiplicative noise. Zbl 1194.65024
Doering, Charles R.; Sargsyan, Khachik V.; Smereka, Peter
9
2005
Energy dissipation in body-forced plane shear flow. Zbl 1051.76028
Doering, C. R.; Eckhardt, B.; Schumacher, J.
9
2003
Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations. Zbl 0997.35046
Doering, Charles R.; Gibbon, J. D.
9
2002
The distribution of exit times for weakly colored noise. Zbl 0714.60072
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
9
1989
Features of fast living: on the weak selection for longevity in degenerate birth-death processes. Zbl 1257.82087
Lin, Yen Ting; Kim, Hyejin; Doering, Charles R.
8
2012
Note on the Constantin-Foias-Temam attractor dimension estimate for two- dimensional turbulence. Zbl 0728.76030
Doering, Charles R.; Gibbon, John D.
8
1991
Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems. Zbl 1383.37001
Tobasco, Ian; Goluskin, David; Doering, Charles R.
7
2018
Intermittency and regularity issues in \(3D\) Navier-Stokes turbulence. Zbl 1129.76014
Gibbon, J. D.; Doering, Charles R.
7
2005
Bounds on convection driven by internal heating. Zbl 1071.76027
Lu, Lu; Doering, Charles R.; Busse, Friedrich H.
7
2004
Nonlinear parabolic stochastic differential equations with additive colored noise on \({\mathbb{R}}^ d\times {\mathbb{R}}_ +:\) A regulated stochastic quantization. Zbl 0625.60069
Doering, Charles R.
7
1987
Transport bounds for a truncated model of Rayleigh-Bénard convection. Zbl 1364.76056
Souza, Andre N.; Doering, Charles R.
6
2015
A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126
Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander
6
2010
Destabilizing Taylor-Couette flow with suction. Zbl 1188.76051
Gallet, Basile; Doering, Charles R.; Spiegel, Edward A.
6
2010
Maximal transport in the Lorenz equations. Zbl 1342.80005
Souza, Andre N.; Doering, Charles R.
5
2015
Energy dissipation in fractal-forced flow. Zbl 1144.81330
Cheskidov, Alexey; Doering, Charles R.; Petrov, Nikola P.
5
2007
Macrophage response to Mycobacterium tuberculosis infection. Zbl 1058.92026
Gammack, D.; Doering, C. R.; Kirschner, D. E.
5
2004
Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017
Doering, Charles R.; Wang, Xiaoming
5
1998
Rigorous estimates of small scales in turbulent flows. Zbl 0862.35083
Constantin, Peter; Doering, Charles R.; Titi, Edriss S.
5
1996
Bounds on surface stress-driven shear flow. Zbl 1302.76050
Hagstrom, George I.; Doering, Charles R.
4
2014
Variations on Kolmogorov flow: turbulent energy dissipation and mean flow profiles. Zbl 1225.76151
Rollin, B.; Dubief, Y.; Doering, C. R.
4
2011
Demographic stochasticity versus spatial variation in the competition between fast and slow dispersers. Zbl 1403.92273
Waddell, Jack N.; Sander, Leonard M.; Doering, Charles R.
4
2010
Intermittency in solutions of the three-dimensional Navier-Stokes equations. Zbl 1034.76013
Gibbon, J. D.; Doering, Charles R.
4
2003
Fluctuations and correlations in a diffusion-reaction system: Exact hydrodynamics. Zbl 0946.82516
Doering, Charles R.; Burschka, Martin A.; Horsthemke, Werner
4
1991
Links between dissipation, intermittency, and helicity in the GOY model revisited. Zbl 1099.76024
Bowman, John C.; Doering, Charles R.; Eckhardt, Bruno; Davoudi, Jahanshah; Roberts, Malcolm; Schumacher, Jörg
3
2006
Constructive role of noise: Fast fluctuation asymptotics of transport in stochastic ratchets. Zbl 0988.70018
Doering, Charles R.; Dontcheva, Lubomira A.; Klosek, Malgorzata M.
3
1998
Ladder theorems for the \(2D\) and \(3D\) Navier-Stokes equations on a finite periodic domain. Zbl 0736.35084
Bartuccelli, M.; Doering, C.; Gibbon, J. D.
3
1991
Finite dimensionality in the complex Ginzburg-Landau equation. Zbl 0741.35079
Doering, C. R.; Gibbon, J. D.; Holm, D. D.; Nicolaenko, B.
3
1989
On the optimal design of wall-to-wall heat transport. Zbl 1434.76036
Doering, Charles R.; Tobasco, Ian
2
2019
Diffusion-limited mixing by incompressible flows. Zbl 1390.76840
Miles, Christopher J.; Doering, Charles R.
2
2018
Demographic stochasticity and evolution of dispersion. II: Spatially inhomogeneous environments. Zbl 1350.92043
Lin, Yen Ting; Kim, Hyejin; Doering, Charles R.
2
2015
Demographic stochasticity and evolution of dispersion. I: Spatially homogeneous environments. Zbl 1350.92042
Lin, Yen Ting; Kim, Hyejin; Doering, Charles R.
2
2015
Noise-induced statistically stable oscillations in a deterministically divergent nonlinear dynamical system. Zbl 1274.60177
Boďová, Katarína; Doering, Charles
2
2012
Low-dimensional models from upper bound theory. Zbl 1372.37121
Chini, Gregory P.; Dianati, Navid; Zhang, Zhexuan; Doering, Charles R.
2
2011
Models & measures of mixing & effective diffusion. Zbl 1387.76038
Lin, Zhi; Bod’ová, Katarína; Doering, Charles R.
2
2010
Linear decay in multilevel quantum systems. Zbl 0729.35110
Schulman, L. S.; Doering, C. R.; Gaveau, B.
2
1991
Thermal forcing and ‘classical’ and ‘ultimate’ regimes of Rayleigh-Bénard convection. Zbl 1415.76309
Doering, Charles R.
1
2019
Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations. Zbl 1419.76127
Ayala, Diego; Doering, Charles R.; Simon, Thilo M.
1
2018
Optimal heat transfer and optimal exit times. Zbl 1387.76096
Marcotte, Florence; Doering, Charles R.; Thiffeault, Jean-Luc; Young, William R.
1
2018
Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
1
2013
The mixing efficiency of open flows. Zbl 1372.76058
Thiffeault, Jean-Luc; Doering, Charles R.
1
2011
Rayleigh-Bénard convection with imposed heat flux. Zbl 1163.37340
Johnston, Hans; Doering, Charles R.
1
2007
Laminar and turbulent dissipation in shear flow with suction. Zbl 1035.76022
Doering, Charles R.; Spiegel, Edward A.; Worthing, Rodney A.
1
2000
Reentrant transitions in globally coupled active rotators with multiplicative and additive noises. Zbl 0962.82523
Kim, Seunghwan; Park, Seon Hee; Doering, Charles R.; Ryu, Chang Su
1
1997
The dynamics of organized structures in the axisymmetric jet mixing layer. Zbl 0728.76056
Glauser, Mark; Zheng, Xiaowei; Doering, Charles R.
1
1991
On the optimal design of wall-to-wall heat transport. Zbl 1434.76036
Doering, Charles R.; Tobasco, Ian
2
2019
Thermal forcing and ‘classical’ and ‘ultimate’ regimes of Rayleigh-Bénard convection. Zbl 1415.76309
Doering, Charles R.
1
2019
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion. Zbl 1398.35164
Doering, Charles R.; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming
13
2018
Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems. Zbl 1383.37001
Tobasco, Ian; Goluskin, David; Doering, Charles R.
7
2018
Diffusion-limited mixing by incompressible flows. Zbl 1390.76840
Miles, Christopher J.; Doering, Charles R.
2
2018
Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations. Zbl 1419.76127
Ayala, Diego; Doering, Charles R.; Simon, Thilo M.
1
2018
Optimal heat transfer and optimal exit times. Zbl 1387.76096
Marcotte, Florence; Doering, Charles R.; Thiffeault, Jean-Luc; Young, William R.
1
2018
Bounds for convection between rough boundaries. Zbl 06756686
Goluskin, David; Doering, Charles R.
12
2016
Exact two-dimensionalization of low-magnetic-Reynolds-number flows subject to a strong magnetic field. Zbl 1328.76075
Gallet, Basile; Doering, Charles R.
10
2015
Transport bounds for a truncated model of Rayleigh-Bénard convection. Zbl 1364.76056
Souza, Andre N.; Doering, Charles R.
6
2015
Maximal transport in the Lorenz equations. Zbl 1342.80005
Souza, Andre N.; Doering, Charles R.
5
2015
Demographic stochasticity and evolution of dispersion. II: Spatially inhomogeneous environments. Zbl 1350.92043
Lin, Yen Ting; Kim, Hyejin; Doering, Charles R.
2
2015
Demographic stochasticity and evolution of dispersion. I: Spatially homogeneous environments. Zbl 1350.92042
Lin, Yen Ting; Kim, Hyejin; Doering, Charles R.
2
2015
Wall to wall optimal transport. Zbl 1329.74253
Hassanzadeh, Pedram; Chini, Gregory P.; Doering, Charles R.
19
2014
Bounds on surface stress-driven shear flow. Zbl 1302.76050
Hagstrom, George I.; Doering, Charles R.
4
2014
Computational approaches to aspect-ratio-dependent upper bounds and heat flux in porous medium convection. Zbl 1370.76182
Wen, Baole; Chini, Gregory P.; Dianati, Navid; Doering, Charles R.
12
2013
Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
1
2013
Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
16
2012
Rigid bounds on heat transport by a fluid between slippery boundaries. Zbl 1275.76192
Whitehead, Jared P.; Doering, Charles R.
11
2012
Features of fast living: on the weak selection for longevity in degenerate birth-death processes. Zbl 1257.82087
Lin, Yen Ting; Kim, Hyejin; Doering, Charles R.
8
2012
Noise-induced statistically stable oscillations in a deterministically divergent nonlinear dynamical system. Zbl 1274.60177
Boďová, Katarína; Doering, Charles
2
2012
Optimal stirring strategies for passive scalar mixing. Zbl 1241.76361
Lin, Zhi; Thiffeault, Jean-Luc; Doering, Charles R.
39
2011
Symmetric factorization of the conformation tensor in viscoelastic fluid models. Zbl 1359.76023
Balci, Nusret; Thomases, Becca; Renardy, Michael; Doering, Charles R.
10
2011
Internal heating driven convection at infinite Prandtl number. Zbl 1272.76230
Whitehead, Jared P.; Doering, Charles R.
9
2011
Variations on Kolmogorov flow: turbulent energy dissipation and mean flow profiles. Zbl 1225.76151
Rollin, B.; Dubief, Y.; Doering, C. R.
4
2011
Low-dimensional models from upper bound theory. Zbl 1372.37121
Chini, Gregory P.; Dianati, Navid; Zhang, Zhexuan; Doering, Charles R.
2
2011
The mixing efficiency of open flows. Zbl 1372.76058
Thiffeault, Jean-Luc; Doering, Charles R.
1
2011
Extreme vorticity growth in Navier-Stokes turbulence. Zbl 1235.76030
Schumacher, Jörg; Eckhardt, Bruno; Doering, Charles R.
10
2010
A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126
Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander
6
2010
Destabilizing Taylor-Couette flow with suction. Zbl 1188.76051
Gallet, Basile; Doering, Charles R.; Spiegel, Edward A.
6
2010
Demographic stochasticity versus spatial variation in the competition between fast and slow dispersers. Zbl 1403.92273
Waddell, Jack N.; Sander, Leonard M.; Doering, Charles R.
4
2010
Models & measures of mixing & effective diffusion. Zbl 1387.76038
Lin, Zhi; Bod’ová, Katarína; Doering, Charles R.
2
2010
The 3D Navier-Stokes problem. Zbl 1157.76008
Doering, Charles R.
19
2009
Limits on enstrophy growth for solutions of the three-dimensional Navier-Stokes equations. Zbl 1172.35055
Lu, Lu; Doering, Charles R.
17
2008
Stirring up trouble: multi-scale mixing measures for steady scalar sources. Zbl 1128.35087
Shaw, Tiffany A.; Thiffeault, Jean-Luc; Doering, Charles R.
17
2007
Energy dissipation in fractal-forced flow. Zbl 1144.81330
Cheskidov, Alexey; Doering, Charles R.; Petrov, Nikola P.
5
2007
Rayleigh-Bénard convection with imposed heat flux. Zbl 1163.37340
Johnston, Hans; Doering, Charles R.
1
2007
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080
Doering, Charles R.; Otto, Felix; Reznikoff, Maria G.
32
2006
Failure of energy stability in Oldroyd-B fluids at arbitrarily low Reynolds numbers. Zbl 1195.76174
Doering, Charles R.; Eckhardt, Bruno; Schumacher, Jörg
16
2006
Energy and enstrophy dissipation in steady state 2d turbulence. Zbl 1236.76029
Alexakis, Alexandros; Doering, Charles R.
13
2006
Links between dissipation, intermittency, and helicity in the GOY model revisited. Zbl 1099.76024
Bowman, John C.; Doering, Charles R.; Eckhardt, Bruno; Davoudi, Jahanshah; Roberts, Malcolm; Schumacher, Jörg
3
2006
Extinction times for birth-death processes: Exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation. Zbl 1072.60092
Doering, Charles R.; Sargsyan, Khachik V.; Sander, Leonard M.
49
2005
On travelling waves for the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov equation. Zbl 1095.82008
Conlon, Joseph G.; Doering, Charles R.
11
2005
A numerical method for some stochastic differential equations with multiplicative noise. Zbl 1194.65024
Doering, Charles R.; Sargsyan, Khachik V.; Smereka, Peter
9
2005
Intermittency and regularity issues in \(3D\) Navier-Stokes turbulence. Zbl 1129.76014
Gibbon, J. D.; Doering, Charles R.
7
2005
High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462
Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R.
26
2004
A bound on mixing efficiency for the advection-diffusion equation. Zbl 1065.76184
Thiffeault, Jean-Luc; Doering, Charles R.; Gibbon, John D.
20
2004
Bounds on convection driven by internal heating. Zbl 1071.76027
Lu, Lu; Doering, Charles R.; Busse, Friedrich H.
7
2004
Macrophage response to Mycobacterium tuberculosis infection. Zbl 1058.92026
Gammack, D.; Doering, C. R.; Kirschner, D. E.
5
2004
Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality. Zbl 1025.60027
Doering, Charles R.; Mueller, Carl; Smereka, Peter
19
2003
Energy dissipation in body-forced plane shear flow. Zbl 1051.76028
Doering, C. R.; Eckhardt, B.; Schumacher, J.
9
2003
Intermittency in solutions of the three-dimensional Navier-Stokes equations. Zbl 1034.76013
Gibbon, J. D.; Doering, Charles R.
4
2003
Energy dissipation in body-forced turbulence. Zbl 1029.76025
Doering, Charles R.; Foias, Ciprian
45
2002
Bounds on Rayleigh-Bénard convection with an imposed heat flux. Zbl 1026.76048
Otero, Jesse; Wittenberg, Ralf W.; Worthing, Rodney A.; Doering, Charles R.
28
2002
Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations. Zbl 0997.35046
Doering, Charles R.; Gibbon, J. D.
9
2002
On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520
Doering, Charles R.; Constantin, Peter
27
2001
Energy dissipation in a shear layer with suction. Zbl 1184.76140
Doering, Charles R.; Spiegel, Edward A.; Worthing, Rodney A.
15
2000
Laminar and turbulent dissipation in shear flow with suction. Zbl 1035.76022
Doering, Charles R.; Spiegel, Edward A.; Worthing, Rodney A.
1
2000
Infinite Prandtl number convection. Zbl 0935.76083
Constantin, Peter; Doering, Charles R.
50
1999
Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations. Zbl 0956.76018
Gibbon, J. D.; Fokas, A. S.; Doering, C. R.
21
1999
Bounds for heat transport in a porous layer. Zbl 0933.76090
Doering, Charles R.; Constantin, Peter
16
1998
Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017
Doering, Charles R.; Wang, Xiaoming
5
1998
Constructive role of noise: Fast fluctuation asymptotics of transport in stochastic ratchets. Zbl 0988.70018
Doering, Charles R.; Dontcheva, Lubomira A.; Klosek, Malgorzata M.
3
1998
Reentrant transitions in globally coupled active rotators with multiplicative and additive noises. Zbl 0962.82523
Kim, Seunghwan; Park, Seon Hee; Doering, Charles R.; Ryu, Chang Su
1
1997
Heat transfer in convective turbulence. Zbl 0899.35078
Constantin, Peter; Doering, Charles R.
21
1996
Rigorous estimates of small scales in turbulent flows. Zbl 0862.35083
Constantin, Peter; Doering, Charles R.; Titi, Edriss S.
5
1996
Applied analysis of the Navier-Stokes equations. Zbl 0838.76016
Doering, Charles R.; Gibbon, J. D.
171
1995
Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations. Zbl 1023.76513
Doering, Charles R.; Titi, Edriss S.
34
1995
On the shape and dimension of the Lorenz attractor. Zbl 0838.34070
Doering, Charles R.; Gibbon, J. D.
15
1995
Variational bounds in dissipative systems. Zbl 0900.35049
Constantin, Peter; Doering, Charles
11
1995
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
87
1994
Length scales in solutions of the Navier-Stokes equations. Zbl 0782.35056
Bartucelli, M. V.; Doering, C. R.; Gibbon, J. D.; Malham, S. J. A.
13
1993
Note on the Constantin-Foias-Temam attractor dimension estimate for two- dimensional turbulence. Zbl 0728.76030
Doering, Charles R.; Gibbon, John D.
8
1991
Fluctuations and correlations in a diffusion-reaction system: Exact hydrodynamics. Zbl 0946.82516
Doering, Charles R.; Burschka, Martin A.; Horsthemke, Werner
4
1991
Ladder theorems for the \(2D\) and \(3D\) Navier-Stokes equations on a finite periodic domain. Zbl 0736.35084
Bartuccelli, M.; Doering, C.; Gibbon, J. D.
3
1991
Linear decay in multilevel quantum systems. Zbl 0729.35110
Schulman, L. S.; Doering, C. R.; Gaveau, B.
2
1991
The dynamics of organized structures in the axisymmetric jet mixing layer. Zbl 0728.76056
Glauser, Mark; Zheng, Xiaowei; Doering, Charles R.
1
1991
On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation. Zbl 0702.76061
Bartuccelli, Michele; Constantin, Petre; Doering, Charles R.; Gibbon, John D.; Gisselfält, Magnus
54
1990
Statics and dynamics of a diffusion-limited reaction: anomalous kinetics, nonequilibrium self-ordering, and a dynamic transition. Zbl 1086.82556
ben-Avraham, Daniel; Burschka, Martin A.; Doering, Charles R.
18
1990
Mean exit times for particles driven by weakly colored noise. Zbl 0681.60052
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
14
1989
The distribution of exit times for weakly colored noise. Zbl 0714.60072
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
9
1989
Finite dimensionality in the complex Ginzburg-Landau equation. Zbl 0741.35079
Doering, C. R.; Gibbon, J. D.; Holm, D. D.; Nicolaenko, B.
3
1989
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
93
1988
Nonlinear parabolic stochastic differential equations with additive colored noise on \({\mathbb{R}}^ d\times {\mathbb{R}}_ +:\) A regulated stochastic quantization. Zbl 0625.60069
Doering, Charles R.
7
1987
all top 5

Cited by 1,234 Authors

46 Doering, Charles R.
25 Wu, Jiahong
22 Titi, Edriss Saleh
19 Gibbon, John D.
18 Guo, Boling
17 Wang, Xiaoming
15 Jolly, Michael S.
13 Foiaş, Ciprian Ilie
9 Bartuccelli, Michele V.
9 Layton, William J.
9 Robinson, James Cooper
8 Chini, Gregory P.
8 Constantin, Peter
8 Dascaliuc, Radu
8 Gao, Hongjun
7 Hu, Weiwei
7 Thiffeault, Jean-Luc
7 Whitehead, Jared P.
6 Alexakis, Alexandros
6 Duan, Jinqiao
6 Fantuzzi, Giovanni
6 Kerswell, Richard Rodney
6 Levermore, C. David
6 Lu, Shujuan
6 Łukaszewicz, Grzegorz
6 Oliver, Marcel
6 Protas, Bartosz
6 Schumacher, Jörg
6 Temam, Roger Meyer
5 Biswas, Animikh
5 Boritchev, Alexandre
5 Bu, Charles
5 Fang, Tao
5 Gallet, Basile
5 Glatt-Holtz, Nathan E.
5 Goluskin, David
5 Grujić, Zoran
5 Leonov, Gennadiĭ Alekseevich
5 Lunasin, Evelyn M.
5 Mazzucato, Anna L.
5 Morgulis, Andrey Borisovich
5 Ohkitani, Koji
5 Otto, Felix
5 Park, Jungho
5 Seis, Christian
5 Shu, Ji
5 Sun, Ji Tao
5 Wen, Baole
5 Xu, Xiaojing
5 Young, William R.
4 Alarcón, Tomás
4 Ayala, Diego
4 Clancy, Damian
4 Coti Zelati, Michele
4 Crippa, Gianluca
4 Doelman, Arjen
4 Forgoston, Eric
4 Gupta, Anupam
4 Il’in, Konstantin I.
4 Kalita, Piotr
4 Kerr, Robert M.
4 Kukavica, Igor
4 Lohse, Detlef
4 Lu, Hong
4 Martinez, Vincent R.
4 Olson, Eric J.
4 Prudhomme, Serge
4 Renardy, Michael
4 Shishkina, Ol’ga Andreevna
4 Verzicco, Roberto
4 Wang, Baoxiang
4 Wang, Bixiang
4 Ye, Zhuan
4 Zaki, Tamer A.
3 Balasuriya, Sanjeeva
3 Balci, Nusret
3 Bedrossian, Jacob
3 Camassa, Roberto
3 Cao, Chongsheng
3 Chen, Shuhong
3 Chernyshenko, Sergei I.
3 Chillà, F.
3 Chow, Shui-Nee
3 Cortelezzi, Luca
3 Derrida, Bernard
3 Donzis, Diego A.
3 Dresden, Max
3 Froyland, Gary
3 Gayme, Dennice F.
3 Guermond, Jean-Luc
3 Guerrero, Pilar
3 Hagan, Patrick S.
3 Hewitt, Duncan R.
3 Hoang, Luan Thach
3 Huang, Jianhua
3 Huang, Zhehao
3 Jang, Juhi
3 Ji, Ruihong
3 Jovanović, Mihailo R.
3 Kim, Hyejin
...and 1,134 more Authors
all top 5

Cited in 185 Serials

130 Journal of Fluid Mechanics
69 Physica D
36 Journal of Mathematical Physics
31 Physics of Fluids
30 Journal of Statistical Physics
29 Journal of Mathematical Analysis and Applications
28 Journal of Differential Equations
18 Physics Letters. A
16 Communications in Mathematical Physics
15 Journal of Computational Physics
15 Journal of Nonlinear Science
14 Archive for Rational Mechanics and Analysis
14 Journal of Theoretical Biology
13 Applied Mathematics and Computation
11 Journal of Mathematical Biology
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Applied Mathematics Letters
7 Mathematical Methods in the Applied Sciences
7 Bulletin of Mathematical Biology
7 Communications in Partial Differential Equations
7 Discrete and Continuous Dynamical Systems. Series B
6 Communications on Pure and Applied Mathematics
6 Numerical Functional Analysis and Optimization
6 Discrete and Continuous Dynamical Systems
5 Applicable Analysis
5 Journal of Functional Analysis
5 Applied Mathematics and Mechanics. (English Edition)
5 Numerical Methods for Partial Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Non-Newtonian Fluid Mechanics
5 Journal of Dynamics and Differential Equations
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Chaos
5 Journal of Mathematical Fluid Mechanics
5 European Journal of Mechanics. B. Fluids
5 Nonlinear Analysis. Real World Applications
5 SIAM Journal on Applied Dynamical Systems
5 Journal of Statistical Mechanics: Theory and Experiment
5 Journal of Physics A: Mathematical and Theoretical
4 Computers & Mathematics with Applications
4 Nonlinearity
4 Physica A
4 Theoretical Population Biology
4 Chinese Annals of Mathematics. Series B
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Acta Mathematicae Applicatae Sinica. English Series
4 Probability Theory and Related Fields
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 SIAM Journal on Applied Mathematics
4 Acta Mathematica Sinica. English Series
4 Analysis and Applications (Singapore)
3 Computer Methods in Applied Mechanics and Engineering
3 International Journal for Numerical Methods in Fluids
3 Physics Reports
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal of Computational and Applied Mathematics
3 Studies in Applied Mathematics
3 Stochastic Analysis and Applications
3 Journal of Scientific Computing
3 Applications of Mathematics
3 Stochastic Processes and their Applications
3 NoDEA. Nonlinear Differential Equations and Applications
3 Communications in Contemporary Mathematics
3 The European Physical Journal B. Condensed Matter and Complex Systems
3 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal of Engineering Science
2 Mathematical Biosciences
2 Reports on Mathematical Physics
2 Reviews of Modern Physics
2 Theoretical and Mathematical Physics
2 Mathematics of Computation
2 Theoretical and Computational Fluid Dynamics
2 Chaos, Solitons and Fractals
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Optimization
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Systems & Control Letters
2 Mathematical and Computer Modelling
2 Dynamics and Stability of Systems
2 SIAM Journal on Mathematical Analysis
2 SIAM Review
2 Topological Methods in Nonlinear Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Dynamics
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Evolution Equations
2 Frontiers of Mathematics in China
2 GEM - International Journal on Geomathematics
2 Evolution Equations and Control Theory
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Computers and Fluids
1 International Journal of Mathematical Education in Science and Technology
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Engineering Mathematics
1 Lithuanian Mathematical Journal
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
...and 85 more Serials
all top 5

Cited in 41 Fields

487 Fluid mechanics (76-XX)
428 Partial differential equations (35-XX)
117 Dynamical systems and ergodic theory (37-XX)
107 Probability theory and stochastic processes (60-XX)
79 Biology and other natural sciences (92-XX)
69 Numerical analysis (65-XX)
61 Statistical mechanics, structure of matter (82-XX)
49 Ordinary differential equations (34-XX)
45 Classical thermodynamics, heat transfer (80-XX)
25 Geophysics (86-XX)
13 Systems theory; control (93-XX)
9 Operator theory (47-XX)
9 Quantum theory (81-XX)
8 Real functions (26-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Mechanics of deformable solids (74-XX)
6 Operations research, mathematical programming (90-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Integral equations (45-XX)
4 Functional analysis (46-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistics (62-XX)
3 Astronomy and astrophysics (85-XX)
2 Sequences, series, summability (40-XX)
2 Differential geometry (53-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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