Advances in Differential Equations

Decay of solutions to a porous media equation with fractional diffusion

César J. Niche and Rafael Orive-Illera

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In this article, we prove results concerning the decay and first order asymptotic behavior of solutions to a system of equations that model heat transfer in a porous medium by an incompressible flow with fractional dissipation.

Article information

Adv. Differential Equations, Volume 19, Number 1/2 (2014), 133-160.

First available in Project Euclid: 12 November 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B40: Asymptotic behavior of solutions 35Q35: PDEs in connection with fluid mechanics 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 76S05: Flows in porous media; filtration; seepage


Niche, César J.; Orive-Illera, Rafael. Decay of solutions to a porous media equation with fractional diffusion. Adv. Differential Equations 19 (2014), no. 1/2, 133--160.

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