Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Vibrations in dynamical problems in solid mechanics (74H45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44)

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