What is a periodic boundary condition?

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Just encountered a PDE problem that said to use a periodic boundary condition on a time interval. No other information about the boundary conditions was given. Everything else looks like your typcial PDE (burgers), initial condition, domains. What is a periodic boundary condition?

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Periodic boundary conditions along time variable means that the solution repeats its behavior after a period $t_0$ that is something like $u(t)=u(t+t_0)$. What do you mean by infinite solution?