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Journal Articles

Improved upper bounds on the energy dissipation rate for shear flow with injection and suction

Harry Lee, Baole Wen (温宝乐), Charles R. Doering
Journal: Physics of Fluids
Physics of Fluids 31, 085102 (2019)
https://doi.org/10.1063/1.5109059
Published: August 2019
View article titled, Improved upper bounds on the energy dissipation rate for shear flow with injection and suction
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Journal Articles

Nucleation pressure threshold in acoustic droplet vaporization

Christopher J. Miles, Charles R. Doering, Oliver D. Kripfgans
Journal: Journal of Applied Physics
J. Appl. Phys. 120, 034903 (2016)
https://doi.org/10.1063/1.4958907
Published: July 2016
View article titled, Nucleation pressure threshold in acoustic droplet vaporization
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Journal Articles

Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows” [J. Math. Phys. 53, 115611 (2012)]

Evelyn Lunasin, Zhi Lin, Alexei Novikov, Anna Mazzucato, Charles R. Doering
Journal: Journal of Mathematical Physics
J. Math. Phys. 54, 079903 (2013)
https://doi.org/10.1063/1.4816334
Published: July 2013
View article titled, Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows” [J. Math. Phys. 53, 115611 (2012)]
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Journal Articles

Introduction to Special Issue: Incompressible Fluids, Turbulence and Mixing

Charles R. Doering, Igor Kukavica, Edriss S. Titi
Journal: Journal of Mathematical Physics
J. Math. Phys. 53, 115501 (2012)
https://doi.org/10.1063/1.4766963
Published: November 2012
View article titled, Introduction to Special Issue: Incompressible Fluids, Turbulence and Mixing
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Journal Articles

Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows

Evelyn Lunasin, Zhi Lin, Alexei Novikov, Anna Mazzucato, Charles R. Doering
Journal: Journal of Mathematical Physics
J. Math. Phys. 53, 115611 (2012)
https://doi.org/10.1063/1.4752098
Published: October 2012
View article titled, Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows
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Journal Articles

Internal heating driven convection at infinite Prandtl number

Jared P. Whitehead, Charles R. Doering
Journal: Journal of Mathematical Physics
J. Math. Phys. 52, 093101 (2011)
https://doi.org/10.1063/1.3637032
Published: September 2011
View article titled, Internal heating driven convection at infinite Prandtl number
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Journal Articles

Destabilizing Taylor–Couette flow with suction

Basile Gallet, Charles R. Doering, Edward A. Spiegel
Journal: Physics of Fluids
Physics of Fluids 22, 034105 (2010)
https://doi.org/10.1063/1.3319824
Published: March 2010
View article titled, Destabilizing Taylor–Couette flow with suction
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Journal Articles

Enstrophy amplification events in three-dimensional turbulence

Jörg Schumacher, Maik Boltes, Herwig Zilken, Marc-André Hermanns, Bruno Eckhardt, Charles R. Doering
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 18, 041103 (2008)
https://doi.org/10.1063/1.2997336
Published: December 2008
View article titled, Enstrophy amplification events in three-dimensional turbulence
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Journal Articles

Rayleigh-Bénard convection with imposed heat flux

Hans Johnston, Charles R. Doering
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 17, 041103 (2007)
https://doi.org/10.1063/1.2786003
Published: December 2007
View article titled, Rayleigh-Bénard convection with imposed heat flux
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Journal Articles

Energy dissipation in fractal-forced flow

Alexey Cheskidov, Charles R. Doering, Nikola P. Petrov
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 065208 (2007)
https://doi.org/10.1063/1.2425101
Published: June 2007
View article titled, Energy dissipation in fractal-forced flow
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Journal Articles

Introduction to Special Issue: Mathematical Fluid Dynamics

Charles R. Doering, Paul K. Newton
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 065101 (2007)
https://doi.org/10.1063/1.2742805
Published: June 2007
View article titled, Introduction to Special Issue: Mathematical Fluid Dynamics
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Journal Articles

Introduction: Third Annual Gallery of Nonlinear Images (Baltimore, Maryland, 2006)

Sidney Redner, Eli Ben-Naim, Charles R. Doering, Daniel P. Lathrop
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 16, 041101 (2006)
https://doi.org/10.1063/1.2390557
Published: December 2006
View article titled, Introduction: Third Annual Gallery of Nonlinear Images (Baltimore, Maryland, 2006)
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Journal Articles

Introduction: Second Annual Gallery of Nonlinear Images (Los Angeles, California, 2005)

Bulbul Chakraborty, Charles R. Doering, Walter I. Goldburg
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 15, 041101 (2005)
https://doi.org/10.1063/1.2150155
Published: December 2005
View article titled, Introduction: Second Annual Gallery of Nonlinear Images (Los Angeles, California, 2005)
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Journal Articles

Mean Extinction Time for Birth‐Death Processes & Failure of the Fokker‐Planck Approximation

Charles R. Doering, Khachik V. Sargsyan, Leonard M. Sander
Journal: AIP Conference Proceedings
AIP Conf. Proc. 800, 3–9 (2005)
https://doi.org/10.1063/1.2138587
Published: November 2005
View article titled, Mean Extinction Time for Birth‐Death Processes & Failure of the Fokker‐Planck Approximation
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Journal Articles

Bounds on convection driven by internal heating

Lu Lu, Charles R. Doering, Friedrich H. Busse
Journal: Journal of Mathematical Physics
J. Math. Phys. 45, 2967–2986 (2004)
https://doi.org/10.1063/1.1760845
Published: July 2004
View article titled, Bounds on convection driven by internal heating
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Journal Articles

Bounds on dissipation in magnetohydrodynamic problems in plane shear geometry

F. Pétrélis, A. Alexakis, Charles R. Doering, P. J. Morrison
Journal: Physics of Plasmas
Phys. Plasmas 10, 4314–4323 (2003)
https://doi.org/10.1063/1.1595649
Published: November 2003
View article titled, Bounds on dissipation in magnetohydrodynamic problems in plane shear geometry
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Journal Articles

Bounds on dissipation in magnetohydrodynamic Couette and Hartmann shear flows

A. Alexakis, F. Pétrélis, P. J. Morrison, Charles R. Doering
Journal: Physics of Plasmas
Phys. Plasmas 10, 4324–4334 (2003)
https://doi.org/10.1063/1.1613962
Published: November 2003
View article titled, Bounds on dissipation in magnetohydrodynamic Couette and Hartmann shear flows
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Journal Articles

Noisy Wavefront Propagation in the Fisher‐Kolmogorov‐Petrovsky‐Piscounov Equation

Charles R. Doering, Carl Mueller, Peter Smereka
Journal: AIP Conference Proceedings
AIP Conf. Proc. 665, 523–530 (2003)
https://doi.org/10.1063/1.1584929
Published: May 2003
View article titled, Noisy Wavefront Propagation in the Fisher‐Kolmogorov‐Petrovsky‐Piscounov Equation
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Journal Articles

On upper bounds for infinite Prandtl number convection with or without rotation

Charles R. Doering, Peter Constantin
Journal: Journal of Mathematical Physics
J. Math. Phys. 42, 784–795 (2001)
https://doi.org/10.1063/1.1336157
Published: February 2001
View article titled, On upper bounds for infinite Prandtl number convection with or without rotation
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Journal Articles

Energy dissipation in a shear layer with suction

Charles R. Doering, Edward A. Spiegel, Rodney A. Worthing
Journal: Physics of Fluids
Physics of Fluids 12, 1955–1968 (2000)
https://doi.org/10.1063/1.870443
Published: August 2000
View article titled, Energy dissipation in a shear layer with suction
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