We consider a weakly dissipative hyperelastic-rod wave equation describing nonlinear dispersive dissipative waves in compressible hyperelastic rods. We endow it with a nonlinear source and establish the existence of global weak solutions for any initial condition in $H^1(\R)$.
Existence of global weak solutions to a generalized hyperelastic-rod wave equation with source / Ancona, F; Coclite, G. - STAMPA. - 10:(2014), pp. 23-47. ( Differential Equations, Inverse Problems and Control Theory Cortona, Italy June 16-21, 2013) [10.1007/978-3-319-11406-4_2].
Existence of global weak solutions to a generalized hyperelastic-rod wave equation with source
Ancona F;Coclite G
2014
Abstract
We consider a weakly dissipative hyperelastic-rod wave equation describing nonlinear dispersive dissipative waves in compressible hyperelastic rods. We endow it with a nonlinear source and establish the existence of global weak solutions for any initial condition in $H^1(\R)$.File in questo prodotto:
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