Geodesic
On an elasto-dynamic evolution equation with non dead load and friction
Applications of Mathematics, Tome 51 (2006) no. 3, pp. 229-246.

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In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.
DOI : 10.1007/s10492-006-0013-y
Classification : 34G20, 34K07, 34K10, 47H05, 74B20, 74H20, 74H25, 74M10, 74M15
Keywords: evolution equation; existence and uniqueness; Faedo-Galerkin method; friction; elasticity; dynamic process 
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Chau, Oanh. On an elasto-dynamic evolution equation with non dead load and friction. Applications of Mathematics, Tome 51 (2006) no. 3, pp. 229-246. doi : 10.1007/s10492-006-0013-y. http://geodesic.mathdoc.fr/articles/10.1007/s10492-006-0013-y/

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