2007•Journal of Physics A Mathematical and TheoreticalRequires access

Symmetries and invariant solutions for the geometric heat flows

Qing Huang, Changzheng Qu

Abstract

We study Lie symmetries and invariant solutions of the geometric heat flows. The basic similarity reductions for the GHE are performed. Reduced equations and exact solutions associated with the symmetries are obtained. Group-invariant solutions and reductions for the affine case are also discussed in a special case.

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Key concepts: Homogeneous space, Invariant (physics), Lie group, Mathematics, Pure mathematics, Affine transformation, Heat flow, Mathematical physics