Anomalous dimension in the solution of the Barenblatt’s equation
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Publication:4661555
DOI10.1063/1.532399zbMATH Open1056.35514arXivcond-mat/0102520OpenAlexW1973493821MaRDI QIDQ4661555
Author name not available (Why is that?)
Publication date: 30 March 2005
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Abstract: A new method is presented to obtain the anomalous dimension in the solution of the Barenblatt's equation. The result is the same as that in the renormalization group (RG) approach. It gives us insight on the perturbative solution of the Barenblatt's equation in the RG approach. Based on this discussion, an improvement is made to take into account, in more complete way, the nonlinear effect, which is included in the Heaviside function in higher orders. This improved result is better than that in RG approach.
Full work available at URL: https://arxiv.org/abs/cond-mat/0102520
Nonlinear parabolic equations (35K55) Renormalization group methods in equilibrium statistical mechanics (82B28) Partial differential equations of mathematical physics and other areas of application (35Q99)
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