Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution

DOI10.7153/dea-08-29zbMath1346.35110OpenAlexW2512896579WikidataQ115157990 ScholiaQ115157990MaRDI QIDQ2823236

Maicon Sônego

Publication date: 6 October 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-08-29

zbMATH Keywords

surface of revolutionpatternsstable transition layer{\(\gamma\)}-convergence

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Stability theory of functional-differential equations (34K20) Boundary value problems on manifolds (58J32) PDEs on manifolds (35R01) Pattern formations in context of PDEs (35B36)

Related Items (3)

Non-existence of patterns and gradient estimates in semilinear elliptic equations with Neumann boundary conditions ⋮ On the internal transition layer to some inhomogeneous semilinear problems: interface location ⋮ Stable transition layers in an unbalanced bistable equation

Cites Work

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• Stable equilibria to a singularly perturbed reaction-diffusion equation in a degenerated heterogeneous environment
• The existence of patterns on surfaces of revolution without boundary
• Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains
• Transition layer for the heterogeneous Allen-Cahn equation
• The effect of a singular perturbation on nonconvex variational problems
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Geometric theory of semilinear parabolic equations
• Instability results for reaction-diffusion equations with Neumann boundary conditions
• Stable transition layers in a balanced bistable equation with degeneracy
• The roles of diffusivity and curvature in patterns on surfaces of revolution
• Multiple stable patterns in a balanced bistable equation with heterogeneous environments
• Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation
• Stable transition layers in a balanced bistable equation

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