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On self-similar solutions of Barenblatt's nonlinear filtration equation
Published online by Cambridge University Press: 26 September 2008
Abstract
We derive the asymptotic form of the self-similar solutions of the second kind of the Cauchy problem for Barenblatt's nonlinear filtration equation by perturbing the Lie group of the underlying linear problem. We also show that the decay rate, appearing in the similarity solutions, can be found by a simple inspection of the corresponding energy dissipation law.
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