Global Nonexistence for a System of Nonlinear Viscoelastic Wave Equations

Authors

  • Teófanes Quispe Méndez Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas. Lima, Perú.
  • Yolanda Santiago Ayala Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas. Lima, Perú.
  • Santiago Rojas Romero Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas. Lima, Perú.

DOI:

https://doi.org/10.15381/pes.v20i1.13746

Keywords:

System of nonlinear viscoelastic wave equations, local solution, Faedo- Galerkin method, blow-up of solutions

Abstract

We consider a mixed problem for a system of nonlinear viscoelastic wave equations. We prove the existence of its local solution by the Faedo-Galerkin method and show the blow-up of solutions by the indirect method.

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Published

2017-09-04

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Section

Artículos

How to Cite

Global Nonexistence for a System of Nonlinear Viscoelastic Wave Equations. (2017). Pesquimat, 20(1), 19-40. https://doi.org/10.15381/pes.v20i1.13746