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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.

1 vote
0 answers
125 views

Brachistochrone for a rolling sphere with slippage

I was recently looking into generalisations of the brachistochrone problem: for example, in this article the authors study the brachistochrone with Amontons-Coulomb friction where a bead slides along …
Hollis Williams's user avatar
5 votes
1 answer
331 views

Ricci flow proof of isoperimetric inequality

It is well-known in geometric analysis that one can use curve-shortening flow to prove the isoperimetric inequality (where the general result requires curve-shortening flow for non-convex curves). I …
Hollis Williams's user avatar