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. - 10(2014), pp. 23-47. ((Intervento presentato al convegno Differential Equations, Inverse Problems and Control Theory nel 17-21/06/2013.

Existence of global weak solutions to a generalized hyperelastic-rod wave equation with source

COCLITE, Giuseppe Maria
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 $H^1(\R)$.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/36550
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