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.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
Titolo: | Existence of global weak solutions to a generalized hyperelastic-rod wave equation with source |
Autori: | |
Data di pubblicazione: | 2014 |
Rivista: | |
Citazione: | 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. |
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 $H^1(\R)$. |
Handle: | http://hdl.handle.net/11586/36550 |
Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |