On nonlinear heat equations and diffusion in porous media

DOI10.1016/S0034-4877(99)80171-2zbMath0957.76081MaRDI QIDQ1573823

Ryszard Wojnar

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

porous mediumBrownian diffusionasymptotic expansion of distribution functiontwo-scale asymptotic methodheat production termmacroscopic diffusion equationthermal conductivity coefficient

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (2)

Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions ⋮ NONLINEAR FRACTURE SIGNAL ANALYSIS USING MULTIFRACTAL APPROACH COMBINED WITH WAVELETS

Cites Work

• Reinforced and honey-comb strucures
• Non-homogeneous media and vibration theory
• A gas of Brownian particles in statistical dynamics
• Nonlinear heat equations
• Homogenization of piezoelectric solid and thermodynamics
• Dynamics of Brownian particles in a potential

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