Classical Dynamics of Particles and Systems · Problem 6-9

Hamilton's Principle—Lagrangian and Hamiltonian Dynamics — Marion & Thornton

Physics — Mechanics · calculus-of-variations-gradient-minimum

Problem

Find an expression involving the function

\phi(x_1, x_2, x_3)

that has a minimum average value of the square of its gradient within a certain volume

V

of space.