A general asymptotic dynamic model for Lipschitzian elastic curved rods
Copyright policy )A general asymptotic dynamic model for Lipschitzian elastic curved rods
We study the asymptotic behaviour of solutions to the linear evolution problem for clamped curved rods with the small thickness ε under minimal regularity assumptions on the geometry. In addition, nonconstant density of the curved rods is considered.
- Weierstrass Institute for Applied Analysis and Stochastics Germany
- Palacký University, Olomouc Czech Republic
- Weierstrass Institute Germany
- Leibniz Association Germany
ddc:510, weak formulation, article, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Other PDE from mechanics, 510, curved rods -- low geometrical regularity -- evolution equation -- asymptotic analysis, Existence of solutions of dynamical problems in solid mechanics, QA1-939, Rods (beams, columns, shafts, arches, rings, etc.), Mathematics, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
ddc:510, weak formulation, article, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Other PDE from mechanics, 510, curved rods -- low geometrical regularity -- evolution equation -- asymptotic analysis, Existence of solutions of dynamical problems in solid mechanics, QA1-939, Rods (beams, columns, shafts, arches, rings, etc.), Mathematics, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
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