Temporally inhomogeneous Timoshenko beam equations
Copyright policy )Temporally inhomogeneous Timoshenko beam equations
We provide a well-posedness result for a fourth order evolution equation in Hilbert space, which is the temporally inhomogeneous version of the Timoshenko beam equation. The method consists in transforming the equation to a convenient second order equation, which is a perturbation, by lower order terms, of a standard wave equation. We prove for such equation the well-posedness by the Ritz-Galerkin method.
- University of Parma Italy
abstract differential equations in Hilbert space, perturbation, Hilbert space, Other PDE from mechanics, 510, Higher order hyperbolic equations, abstract differential equations in Hilbert space, well-posedness, Higher order hyperbolic equations, Ritz-Galerkin method, wave equation, Rods (beams, columns, shafts, arches, rings, etc.)
abstract differential equations in Hilbert space, perturbation, Hilbert space, Other PDE from mechanics, 510, Higher order hyperbolic equations, abstract differential equations in Hilbert space, well-posedness, Higher order hyperbolic equations, Ritz-Galerkin method, wave equation, Rods (beams, columns, shafts, arches, rings, etc.)
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