Analytical solutions to a nonlinear diffusion-advection equation

DOI10.1007/S00033-018-1042-6zbMath1404.35244OpenAlexW2901091933MaRDI QIDQ1757319

Khim B. Khattri, Shiva P. Pudasaini, Santosh Kandel, Sayonita Ghosh Hajra

Publication date: 3 January 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-1042-6

zbMATH Keywords

analytical solutionsflow in porous mediaexact solutionsnonlinear diffusion-advection

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Applications of Lie groups to the sciences; explicit representations (22E70) Lie algebras of Lie groups (22E60) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Uses Software

• r.avaflow

Cites Work

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• On analytical solutions of a two-phase mass flow model
• A family of analytical solutions of a nonlinear diffusion-convection equation
• Asymptotic solution of a nonlinear advection-diffusion equation
• High-Order Nonlinear Diffusion
• Analysis of the Brinkman equation as a model for flow in porous media
• Exact solutions for redistribution by nonlinear convection-diffusion
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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