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1

Applications of Lie groups to differential equations: Peter J. Olver, Springer Graduate Texts in Mathematics, 1986

Journal:

Advances in Mathematics

Year:

1988

Language:

english

File:

PDF, 105 KB

english, 1988

2

The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories

Darryl D Holm, Jerrold E Marsden, Tudor S Ratiu

Journal:

Advances in Mathematics

Year:

1998

Language:

english

File:

PDF, 825 KB

english, 1998

3

An integrable shallow water equation with peaked solitons

Camassa, Roberto, Holm, Darryl D.

Journal:

Physical Review Letters

Year:

1993

Language:

english

File:

PDF, 188 KB

english, 1993

4

The Maxwell–Vlasov equations in Euler–Poincaré form

Cendra, Hernán, Holm, Darryl D., Hoyle, Mark J. W., Marsden, Jerrold E.

Journal:

Journal of Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 557 KB

english, 1998

5

The analogy between spin glasses and Yang–Mills fluids

Holm, Darryl D., Kupershmidt, Boris A.

Journal:

Journal of Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 942 KB

english, 1988

6

Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity

Darryl D. Holm, Boris A. Kupershmidt

Journal:

Physica D: Nonlinear Phenomena

Year:

1983

Language:

english

File:

PDF, 778 KB

english, 1983

7

Nonlinear stability of fluid and plasma equilibria

Darryl D. Holm, Jerrold E. Marsden, Tudor Ratiu, Alan Weinstein

Journal:

Physics Reports

Year:

1985

Language:

english

File:

PDF, 6.24 MB

english, 1985

8

The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory

Ciprian Foias, Darryl D. Holm, Edriss S. Titi

Journal:

Journal of Dynamics and Differential Equations

Year:

2002

Language:

english

File:

PDF, 212 KB

english, 2002

9

On a Leray-α Model of Turbulence

Alexey Cheskidov, Darryl D. Holm, Eric Olson and Edriss S. Titi

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2005

Language:

english

File:

PDF, 1.87 MB

english, 2005

10

Yang-Mills magnetohydrodynamics: Nonrelativistic theory

Holm, Darryl D., Kupershmidt, Boris A.

Journal:

Physical Review D

Year:

1984

Language:

english

File:

PDF, 260 KB

english, 1984

11

Singular solutions of a modified two-component Camassa-Holm equation

Holm, Darryl D., Ó Náraigh, Lennon, Tronci, Cesare

Journal:

Physical Review E

Year:

2009

Language:

english

File:

PDF, 690 KB

english, 2009

12

Long-time shallow-water equations with a varying bottom

CAMASSA, ROBERTO, HOLM, DARRYL D., LEVERMORE, C. DAVID

Journal:

Journal of Fluid Mechanics

Year:

1997

Language:

english

File:

PDF, 397 KB

english, 1997

13

[Springer Proceedings in Mathematics & Statistics] Stochastic Geometric Mechanics Volume 202 || Degenerate Diffusions and Harmonic Analysis on SE(3): A Tutorial

Albeverio, Sergio, Cruzeiro, Ana Bela, Holm, Darryl

Year:

2017

Language:

english

File:

PDF, 259 KB

english, 2017

14

Lie-Poisson description of Hamiltonian ray optics

Darryl D. Holm, K.Bernardo Wolf

Journal:

Physica D: Nonlinear Phenomena

Year:

1991

Language:

english

File:

PDF, 637 KB

english, 1991

15

Extended-geostrophic Hamiltonian models for rotating shallow water motion

J.S. Allen, Darryl D. Holm

Journal:

Physica D: Nonlinear Phenomena

Year:

1996

Language:

english

File:

PDF, 1.02 MB

english, 1996

16

Poisson structures of superfluids

Darryl D. Holm, Boris A. Kupershmidt

Journal:

Physics Letters A

Year:

1982

Language:

english

File:

PDF, 635 KB

english, 1982

17

Poisson structures of superconductors

Darryl D. Holm, Boris A. Kupershmidt

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 381 KB

english, 1983

18

Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics

Darryl D. Holm, Jerrold E. Marsden, Tudor Ratiu, Alan Weinstein

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 545 KB

english, 1983

19

A tri-Hamiltonian formulation of the self-induced transparency equations

Allan P. Fordy, Darryl D. Holm

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 335 KB

english, 1991

20

The Navier–Stokes-alpha model of fluid turbulence

Ciprian Foias, Darryl D. Holm, Edriss S. Titi

Journal:

Physica D: Nonlinear Phenomena

Year:

2001

Language:

english

File:

PDF, 128 KB

english, 2001

21

Rasetti–Regge Dirac bracket formulation of Lagrangian fluid dynamics of vortex filaments

Journal:

Mathematics and Computers in Simulation

Year:

2003

Language:

english

File:

PDF, 99 KB

english, 2003

22

Symmetry Reduced Dynamics of Charged Molecular Strands

David C. P. Ellis, François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze, Tudor S. Ratiu

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 809 KB

english, 2010

23

Canonical maps between poisson brackets in eulerian and Lagrangian descriptions of continuum mechanics

Darryl D. Holm, Boris A. Kupershmidt, C. David Levermore

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 522 KB

english, 1983

24

Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models

Chongsheng Cao, Darryl D. Holm, Edriss S. Titi

Journal:

Journal of Dynamics and Differential Equations

Year:

2004

Language:

english

File:

PDF, 121 KB

english, 2004

25

Quantum Splines

Brody, Dorje C., Holm, Darryl D., Meier, David M.

Journal:

Physical Review Letters

Year:

2012

Language:

english

File:

PDF, 302 KB

english, 2012

26

Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs

Holm, Darryl D., Staley, Martin F.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2003

Language:

english

File:

PDF, 12.54 MB

english, 2003

27

Stepwise Precession of the Resonant Swinging Spring

Holm, Darryl D., Lynch, Peter

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2002

Language:

english

File:

PDF, 1.13 MB

english, 2002

28

Multi-frequency CraikCriminale solutions of the NavierStokes equations

FABIJONAS, BRUCE R., HOLM, DARRYL D.

Journal:

Journal of Fluid Mechanics

Year:

2004

Language:

english

File:

PDF, 136 KB

english, 2004

29

A Class of Equations with Peakon and Pulson Solutions (with an Appendix by Harry Braden and John Byatt-Smith)

Holm, Darryl D, Hone, N W

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 729 KB

english, 2005

30

Aggregation of Finite-Size Particles with Variable Mobility

Holm, Darryl D., Putkaradze, Vakhtang

Journal:

Physical Review Letters

Year:

2005

Language:

english

File:

PDF, 131 KB

english, 2005

31

Richardson Number Criterion for the Nonlinear Stability of Three-Dimensional Stratified Flow

Abarbanel, Henry D. I., Holm, Darryl D., Marsden, Jerrold E., Ratiu, Tudor

Journal:

Physical Review Letters

Year:

1984

Language:

english

File:

PDF, 554 KB

english, 1984

32

Secondary Instabilities of Flows with Elliptic Streamlines

Fabijonas, Bruce, Holm, Darryl D., Lifschitz, Alexander

Journal:

Physical Review Letters

Year:

1997

Language:

english

File:

PDF, 180 KB

english, 1997

33

Superfluid plasmas: Multivelocity nonlinear hydrodynamics of superfluid solutions with charged condensates coupled electromagnetically

Holm, Darryl D., Kupershmidt, Boris A.

Journal:

Physical Review A

Year:

1987

Language:

english

File:

PDF, 419 KB

english, 1987

34

Hall magnetohydrodynamics: Conservation laws and Lyapunov stability

Holm, Darryl D.

Journal:

Physics of Fluids

Year:

1987

Language:

english

File:

PDF, 1.75 MB

english, 1987

35

Mean Effects of Turbulence on Elliptic Instability in Fluids

Fabijonas, Bruce R., Holm, Darryl D.

Journal:

Physical Review Letters

Year:

2003

Language:

english

File:

PDF, 364 KB

english, 2003

36

Elliptic instability in the Lagrangian-averaged Euler–Boussinesq-α equations

Fabijonas, Bruce R., Holm, Darryl D.

Journal:

Physics of Fluids

Year:

2005

Language:

english

File:

PDF, 1.36 MB

english, 2005

37

Craik–Criminale solutions and elliptic instability in nonlinear-reactive closure models for turbulence

Fabijonas, Bruce R., Holm, Darryl D.

Journal:

Physics of Fluids

Year:

2004

Language:

english

File:

PDF, 977 KB

english, 2004

38

Euler–Poincaré formulation and elliptic instability for n th-gradient fluids

Fabijonas, Bruce R, Holm, Darryl D

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 401 KB

english, 2004

39

Hamilton’s principle for quasigeostrophic motion

Holm, Darryl D., Zeitlin, Vladimir

Journal:

Physics of Fluids

Year:

1998

Language:

english

File:

PDF, 373 KB

english, 1998

40

[Springer Proceedings in Mathematics & Statistics] Stochastic Geometric Mechanics Volume 202 ||

Albeverio, Sergio, Cruzeiro, Ana Bela, Holm, Darryl

Year:

2017

Language:

english

File:

PDF, 5.65 MB

english, 2017

41

Momentum Maps and Stochastic Clebsch Action Principles

Cruzeiro, Ana Bela, Holm, Darryl D., Ratiu, Tudor S.

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 738 KB

english, 2017

42

New variational and multisymplectic formulations of the Euler–Poincaré equation on the Virasoro–Bott group using the inverse map

Holm, Darryl D., Tyranowski, Tomasz M.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2018

Language:

english

File:

PDF, 364 KB

english, 2018

43

Wave breaking for the Stochastic Camassa–Holm equation

Crisan, Dan, Holm, Darryl D.

Journal:

Physica D: Nonlinear Phenomena

Year:

2018

Language:

english

File:

PDF, 410 KB

english, 2018

44

Lyapunov Exponents of Two Stochastic Lorenz 63 Systems

Geurts, Bernard J., Holm, Darryl D., Luesink, Erwin

Journal:

Journal of Statistical Physics

Year:

2019

File:

PDF, 712 KB

2019

45

Evaluation of the acceptability and usability of the MAGIC-GLASS virtual reality solution as part of the care pathway in people with acute, sub-acute and chronic stroke: a study protocol

Stephenson, Aoife, Pedlow, Katy, McDonough, Suzanne, Holmes, Dominic, Charles, Darryl, Barbabella, Francesco, Olivetti, Paolo, Chiatti, Carlos

Journal:

Physical Therapy Reviews

Year:

2020

File:

PDF, 1.36 MB

2020

46

Gyroscopic analog for collective motion of a stratified fluid

Journal:

Journal of Mathematical Analysis and Applications

Year:

1986

Language:

english

File:

PDF, 1.13 MB

english, 1986

47

The Hamiltonian structure of classical chromohydrodynamics

John Gibbons, Darryl D. Holm, Boris Kupershmidt

Journal:

Physica D: Nonlinear Phenomena

Year:

1983

Language:

english

File:

PDF, 1.08 MB

english, 1983

48

Noncanonical Hamiltonian formulation of ideal magnetohydrodynamics

Darryl D. Holm, Boris A. Kupershmidt

Journal:

Physica D: Nonlinear Phenomena

Year:

1983

Language:

english

File:

PDF, 244 KB

english, 1983

49

Magnetic tornadoes: Three-dimensional affine motions in ideal magnetohydrodynamics

Journal:

Physica D: Nonlinear Phenomena

Year:

1983

Language:

english

File:

PDF, 647 KB

english, 1983

50

Hamiltonian formalism for general-relativistic adiabatic fluids

Journal:

Physica D: Nonlinear Phenomena

Year:

1985

Language:

english

File:

PDF, 2.15 MB

english, 1985

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