Topological Methods in Hydrodynamics
E1046817
Topological Methods in Hydrodynamics is a seminal mathematical monograph by Vladimir Arnold that applies topological and geometric techniques to the study of fluid flows and hydrodynamic phenomena.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Topological Methods in Hydrodynamics canonical | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ |
| author |
Boris Khesin
NERFINISHED
ⓘ
Vladimir Arnold NERFINISHED ⓘ |
| field |
differential geometry
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hydrodynamics ⓘ mathematical physics ⓘ topology ⓘ |
| hasNotableConcept |
Euler equations as geodesics on diffeomorphism groups
ⓘ
helicity as a topological invariant of flows ⓘ topological constraints on fluid motion ⓘ |
| influenced |
applications of topology to fluid mechanics
ⓘ
research in geometric hydrodynamics ⓘ |
| influencedBy | Vladimir Arnold’s work on dynamical systems ⓘ |
| language | English ⓘ |
| originalLanguage | Russian ⓘ |
| publicationYear | 1998 ⓘ |
| publisher | Springer NERFINISHED ⓘ |
| series | Applied Mathematical Sciences NERFINISHED ⓘ |
| subject |
Arnold’s interpretation of Euler equations
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Beltrami fields NERFINISHED ⓘ Casimir invariants ⓘ Euler equations NERFINISHED ⓘ Hamiltonian structure of fluid equations ⓘ Lie groups of diffeomorphisms ⓘ contact geometry in fluid dynamics ⓘ ergodic theory of flows ⓘ fluid dynamics ⓘ geodesic flows on diffeomorphism groups ⓘ geometric mechanics ⓘ helicity ⓘ hydrodynamic stability ⓘ ideal incompressible fluids ⓘ incompressible flows on manifolds ⓘ instabilities in ideal fluids ⓘ integrals of motion in hydrodynamics ⓘ knot theory in fluid flows ⓘ magnetohydrodynamics ⓘ reconnection of vortex lines ⓘ steady solutions of Euler equations ⓘ symplectic geometry in hydrodynamics ⓘ topological classification of flows ⓘ topological invariants of flows ⓘ volume-preserving diffeomorphisms ⓘ vortex lines ⓘ vortex tubes ⓘ vorticity ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.