Continuity of attractors for $\mathcal{C}^1$ perturbations of a smooth domain

zbMath1450.35074arXiv1809.01690MaRDI QIDQ5126308

Antonio Luiz Pereira, Pricila S. Barbosa

Publication date: 16 October 2020

Full work available at URL: https://arxiv.org/abs/1809.01690

zbMATH Keywords

global attractornonlinear boundary conditionscontinuity of attractors

Mathematics Subject Classification ID

Attractors (35B41) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions and \(\mathcal{C}^1\) variation of the domain ⋮ Gromov-Hausdorff stability of global attractors for the 3D Navier-Stokes equations with damping ⋮ Gromov-Hausdorff stability of reaction diffusion equations with Robin boundary conditions under perturbations of the domain and equation ⋮ Topological stability of Chafee-Infante equations under Lipschitz perturbations of the domain and equation

Cites Work

• Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation
• Continuity of attractors for a reaction-diffusion problem with nonlinear boundary conditions with respect to variations of the domain
• RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION
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