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Anomalous exponents in nonlinear diffusion

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Publication:1345447
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zbMath0828.35053MaRDI QIDQ1345447

D. G. Aronson, Juan Luis Vazquez

Publication date: 6 March 1995

Published in: Journal of Nonlinear Science (Search for Journal in Brave)


zbMATH Keywords

analytic dependence on perturbation parameter


Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Second-order parabolic systems (35K40) Other special methods applied to PDEs (35A25)


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Rogue heat and diffusion waves, Non-existence of nonnegative separate variable solutions to a porous medium equation with spatially dependent nonlinear source, The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion, On self-similar solutions of Barenblatt's nonlinear filtration equation, Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type, Radial equivalence for the two basic nonlinear degenerate diffusion equations, Long-time asymptotics for fully nonlinear homogeneous parabolic equations, Global travelling waves in reaction-convection-diffusion equations, Filtration through elastic-plastic porous media: The case of small elastic recovery



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