Self-similar solutions for the Gauss curvature evolution of rotationally symmetric surfaces

DOI10.1016/S0362-546X(97)00539-7zbMath0933.34027MaRDI QIDQ4266383

Naoyuki Ishimura

Publication date: 29 March 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

selfsimilar solutionsrotationally symmetric surfacesGauss curvature evolution

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (3)

Fully nonlinear curvature flow of axially symmetric hypersurfaces with boundary conditions ⋮ Gauss curvature flow on surfaces of revolution ⋮ Curvature contraction flows in the sphere

Cites Work

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• Convex hypersurfaces with prescribed Gauss-Kronecker curvature
• Asymptotic behavior for singularities of the mean curvature flow
• Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
• Mean curvature flow through singularities for surfaces of rotation
• On Harnack's inequality and entropy for the gaussian curvature flow
• Deforming a hypersurface by its Gauss-Kronecker curvature
• Shapes of worn stones

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