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math.AP2011
Curvatures of Sobolev metrics on diffeomorphism groups
Boris Khesin, Jonatan Lenells, Gerard Misiolek +1
Many conservative partial differential equations correspond to geodesic equations on groups of diffeomorphisms. Stability of their solutions can be studied by examining sectional c…
math.AP2011★ 30 cited
The motion of whips and chains
Stephen C. Preston
We study the motion of an inextensible string (a whip) fixed at one point in the absence of gravity, satisfying the equations $$ η_{tt} = \partial_s(ση_s), \qquad σ_{ss}-\lvert η_{…