On self-similar solutions of Barenblatt's nonlinear filtration equation

DOI10.1017/S0956792500002278zbMath0852.76085MaRDI QIDQ4880204

Barbara Wagner, Julian D. Cole

Publication date: 4 June 1996

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemLie groupenergy dissipation law

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

An asymptotic approach to second-kind similarity solutions of the modified porous-medium equation ⋮ Numerical Renormalization Group Algorithms for Self-Similar Asymptotics of Partial Differential Equations ⋮ Converging gravity currents of power-law fluid

Cites Work

• Similarity methods for differential equations
• Intermediate asymptotics, scaling laws and renormalization group in continuum mechanics
• Anomalous exponents in nonlinear diffusion
• Unnamed Item

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