Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary. II

DOI10.1006/jdeq.1993.1078zbMath0787.35046OpenAlexW4255020025MaRDI QIDQ687483

Publication date: 25 October 1993

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1078

zbMATH Keywords

stability instability nonlinear boundary condition long-time behavior degenerate parabolic equation bifurcation diagrams stationary solutions convective porous medium finite blow-up time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Bifurcations in context of PDEs (35B32)

Related Items (8)

Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions ⋮ Spontaneous bifurcation for the convective porous medium equation with a nonlinear source ⋮ Global solvability of nonlinear diffusion equations with forcing at the boundary ⋮ Global existence and blow-up of solutions to an evolution \(p\)-Laplace system coupled via nonlocal sources ⋮ Convective porous medium equations with nonlinear forcing at the boundary ⋮ Global existence and blow-up analysis for a nonlinear diffusion equation with inner absorption and boundary flux ⋮ The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition ⋮ Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux

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