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Results tagged with classical-mechanics
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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.
8
votes
turbulence as an unsolved problem of classical mechanics
Let's take a provocative definition of turbulence:
Turbulence is the part of fluid dynamics that is beyond our capacity of calculation/prediction/explanation.
Of course, this is a moving definit …
- 52.3k
4
votes
Newton equations, second order equation and (im)possible motions
When you play billiard, there are collisions, in which you observe (approximately because of the friction of the carpet, but this can be avoided in more careful experiments) the conservation of mass ( …
- 52.3k
14
votes
Minimal surface which divides a convex body into two regions of equal volume
This is a classical problem on which we know the existence, thanks to the Geometric Measure Theory. In space dimension $n$, the solution is a hypersurface which is smooth of constant curvature away fr …
- 52.3k
2
votes
Navier-Stokes fluid dynamics, Einstein gravity and holography
This is a bit too long for being a comment.
An important remark is that the NS equation is parabolic and therefore the velocity at which information propagates is unbounded. For instance, if the init …
- 52.3k