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- W2903624571 abstract "We make the elementary observation that the differential equation associated with Newton's second law $mddotgamma(t)=-D V(gamma(t))$ always has a solution for given initial conditions provided that the potential energy $V$ is semiconvex. That is, if $-D V$ satisfies a one-sided Lipschitz condition. We will then build upon this idea to verify the existence of solutions for the Jeans-Vlasov equation, the pressureless Euler equations in one spatial dimension and the equations of elastodynamics under appropriate semiconvexity assumptions." @default.
- W2903624571 created "2018-12-22" @default.
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- W2903624571 date "2018-12-17" @default.
- W2903624571 modified "2023-09-27" @default.
- W2903624571 title "Newton's second law with a semiconvex potential" @default.
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