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 SourceNew Prospects in Direct, Inverse and Control Problems for Evolution Equations
ANCONA, FABIO;
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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