On the role of diffusivity in some stable equilibria of a diffusion equation

DOI10.1006/jdeq.1998.3579zbMath0935.35077OpenAlexW2043912526MaRDI QIDQ1300090

Arnaldo Simal do Nascimento

Publication date: 4 May 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3579

zbMATH Keywords

spatially inhomogeneous stable stationary solutions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Variational methods for elliptic systems (35J50)

Related Items (6)

Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains ⋮ Stable equilibria of a singularly perturbed reaction-diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface ⋮ Multiple stable patterns in a balanced bistable equation with heterogeneous environments ⋮ The roles of diffusivity and curvature in patterns on surfaces of revolution ⋮ Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases ⋮ On the weakly degenerate Allen-Cahn equation

Cites Work

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• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Structure of the set of steady-state solutions and asymptotic behavior of semilinear heat equations
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• Instability results for reaction-diffusion equations with Neumann boundary conditions
• Reaction-diffusion induced stability of a spatially inhomogeneous equilibrium with boundary layer formation
• Stability of stationary distributions in a space-dependent population growth process
• Bifurcations in a parabolic equation with variable diffusion
• Stable Equilibria in a Scalar Parabolic Equation with Variable Diffusion
• On the existence of multiple ordered solutions of nonlinear eigenvalue problems
• On the structure of equilibrium phase transitions within the gradient theory of fluids
• Stable stationary solutions induced by spatial inhomogeneity via ?-convergence

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