[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 …
N-vortex problem: Analytical techniques
PK Newton, MF Platzer - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …
[图书][B] Molecular catenanes, rotaxanes and knots: a journey through the world of molecular topology
JP Sauvage, C Dietrich-Buchecker - 2008 - books.google.com
Catenane, Rotaxane und Knoten-die Synthese und Eigenschaften ineinander zu komplexen
Gebilden verketteter und verzahnter Moleküle stehen im Mittelpunkt dieses Ausflugs in die …
Gebilden verketteter und verzahnter Moleküle stehen im Mittelpunkt dieses Ausflugs in die …
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] 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 …
Three-dimensional dynamics of a magnetic hopfion driven by spin transfer torque
Magnetic hopfion is a three-dimensional (3D) topological soliton with novel spin structure
that would enable exotic dynamics. Here, we study the current-driven 3D dynamics of a …
that would enable exotic dynamics. Here, we study the current-driven 3D dynamics of a …
Mechanistic insight into the physiological relevance of helical blood flow in the human aorta: an in vivo study
The hemodynamics within the aorta of five healthy humans were investigated to gain insight
into the complex helical flow patterns that arise from the existence of asymmetries in the …
into the complex helical flow patterns that arise from the existence of asymmetries in the …
Helicity and singular structures in fluid dynamics
HK Moffatt - Proceedings of the National Academy of …, 2014 - National Acad Sciences
Helicity is, like energy, a quadratic invariant of the Euler equations of ideal fluid flow,
although, unlike energy, it is not sign definite. In physical terms, it represents the degree of …
although, unlike energy, it is not sign definite. In physical terms, it represents the degree of …
Geometry and physics of knots
V Katritch, J Bednar, D Michoud, RG Scharein… - Nature, 1996 - nature.com
KNOTS are usually categorized in terms of topological properties that are invariant under
changes in a knot's spatial configuration1–4. Here we approach knot identification from a …
changes in a knot's spatial configuration1–4. Here we approach knot identification from a …
Interactive topological drawing
RG Scharein - 1998 - open.library.ubc.ca
The research presented here examines topological drawing, a new mode of constructing
and interacting with mathematical objects in three-dimensional space. In topological …
and interacting with mathematical objects in three-dimensional space. In topological …