Large period limit: Difference between revisions
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The '''large period limit''' of a periodic equation, say on a large torus <math>(\mathbf{R}/L\mathbf{Z})^d</math> denotes the limit when <math>L \to \infty</math>. Formally, this limit should converge to the same equation on the non-periodic domain <math>\mathbf{R}^d</math>, though when the equation has [[infinite speed of propagation]] then the justification of this limit can be quite delicate. | The '''large period limit''' of a periodic equation, say on a large torus <math>(\mathbf{R}/L\mathbf{Z})^d</math> denotes the limit when <math>L \to \infty</math>. Formally, this limit should converge to the same equation on the non-periodic domain <math>\mathbf{R}^d</math>, though when the equation has [[infinite speed of propagation]] then the justification of this limit can be quite delicate. | ||
[[Category:limits]] | [[Category:limits]] | ||
Latest revision as of 04:56, 4 August 2006
The large period limit of a periodic equation, say on a large torus denotes the limit when . Formally, this limit should converge to the same equation on the non-periodic domain , though when the equation has infinite speed of propagation then the justification of this limit can be quite delicate.
