On the well-posedness of the hyperelastic rod equation

DOI10.1007/s10231-018-0798-9zbMath1417.35194arXiv1611.01188OpenAlexW2963459705WikidataQ129110615 ScholiaQ129110615MaRDI QIDQ2420254

Hasan Inci

Publication date: 5 June 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01188

zbMATH Keywords

diffeomorphism groupshyperelastic rod equationsolution map

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) PDEs in connection with mechanics of deformable solids (35Q74)

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Nowhere-uniform continuity of the data-to-solution map for the two-component Fornberg-Whitham ⋮ Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces: revisited

Cites Work

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• Non-uniform dependence on initial data for a family of non-linear evolution equations.
• Non-uniform dependence and well-posedness for the hyperelastic rod equation
• On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation
• On the regularity of the composition of diffeomorphisms
• On the well-posedness of the Holm-Staley b-family of equations
• Local well‐posedness and blow‐up criteria of solutions for a rod equation

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