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Jun 15, 2020 at 7:27 history edited CommunityBot
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Jul 8, 2016 at 13:18 comment added Willie Wong @Dello: well, yes and no. You are correct concerning (3), in that the wave equation in one spatial dimension is not dispersive. However, the first sentence is only a rough description that motivates the discussion. The actual examples given (starting the second sentence) does not depend on dimension.
Jul 8, 2016 at 6:28 comment added Delio Mugnolo Sure, but I understood your answer as a statement about general properties of the wave equation. Now I see that you mean that dispersivity may hold.
Jul 7, 2016 at 21:46 comment added Willie Wong @DelioMugnolo what happens in one dimension doesn't always hold in higher dimensions. Imagine the ripples after you through a stone into a lake.
Jul 7, 2016 at 21:37 comment added Delio Mugnolo Nice comment, but I'm puzzled by point 3). In what sense is the support of the solutions growing over time? In fact, isn't the solution the overlapping of two travelling waves, each with support that is moving but not increasing in measure?
Jul 1, 2016 at 20:19 history answered Willie Wong CC BY-SA 3.0