[图书][B] Topological methods in hydrodynamics
VI Arnold, VI Arnold - 2014 - Springer
A group theoretical approach to hydrodynamics considers hydrodynamics to be the
differential geometry of diffeomorphism groups. The principle of least action implies that the …
differential geometry of diffeomorphism groups. The principle of least action implies that the …
Percolation, statistical topography, and transport in random media
MB Isichenko - Reviews of modern physics, 1992 - APS
A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …
applications to statistical topography, turbulent diffusion, and heterogeneous media …
Creation and dynamics of knotted vortices
D Kleckner, WTM Irvine - Nature physics, 2013 - nature.com
Knots and links have been conjectured to play a fundamental role in a wide range of
physical fields, including plasmas and fluids, both quantum and classical. In fluids, the …
physical fields, including plasmas and fluids, both quantum and classical. In fluids, the …
The topological properties of magnetic helicity
MA Berger, GB Field - Journal of Fluid Mechanics, 1984 - cambridge.org
The relation of magnetic helicity to the topological structure of field lines is discussed. If
space is divided into a collection of flux tubes, magnetic helicity arises from internal structure …
space is divided into a collection of flux tubes, magnetic helicity arises from internal structure …
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids
J Marsden, A Weinstein - Physica D: Nonlinear Phenomena, 1983 - Elsevier
This paper is a study of incompressible fluids, especially their Clebsch variables and
vortices, using symplectic geometry and the Lie-Poisson structure on the dual of a Lie …
vortices, using symplectic geometry and the Lie-Poisson structure on the dual of a Lie …
[图书][B] Turbulence
C Bailly, G Comte-Bellot - 2015 - books.google.com
This book covers the major problems of turbulence and turbulent processes, including
physical phenomena, their modeling and their simulation. After a general introduction in …
physical phenomena, their modeling and their simulation. After a general introduction in …
Helicity and the Călugăreanu invariant
HK Moffatt, RL Ricca - … of the Royal Society of London …, 1992 - royalsocietypublishing.org
The helicity of a localized solenoidal vector field (ie the integrated scalar product of the field
and its vector potential) is known to be a conserved quantity under 'frozen field'distortion of …
and its vector potential) is known to be a conserved quantity under 'frozen field'distortion of …
[图书][B] Arnold's problems
VI Arnold - 2004 - Springer
The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …
[图书][B] Topological methods in hydrodynamics
VI Arnolʹd, BA Khesin - 2009 - Springer
Preface “... ad alcuno, dico, di quelli, che troppo laconicamente vorrebbero vedere, nei piu
angusti spazii che possibil fusse, ristretti i filosofici insegnamenti, sı che sempre si usasse …
angusti spazii che possibil fusse, ristretti i filosofici insegnamenti, sı che sempre si usasse …
[图书][B] Turbulence and random processes in fluid mechanics
MT Landahl, E Mollo-Christensen - 1992 - books.google.com
In the second edition of their successful textbook, Professors Landahl and Mollo-
Christensen have taken the opportunity to include recent developments in the field of chaos …
Christensen have taken the opportunity to include recent developments in the field of chaos …