Blow up at finite time for wave equation in visco-elasticity: a new kind for one spatial variable Emden-Fowler type
Analysis of PDEs
2018-10-04 v1 Mathematical Physics
math.MP
Abstract
For one spatial variable, a new kind of nonlinear wave equation for Emden-Fowler type is considered with boundary value null and initial values. Under certain conditions on the initial data and the exponent p, we exhibit that the visco-elastic term leads our problem to be dissipative and the global solutions still non-exist in L2 at given finite time.
Keywords
Cite
@article{arxiv.1810.01409,
title = {Blow up at finite time for wave equation in visco-elasticity: a new kind for one spatial variable Emden-Fowler type},
author = {Lakhdar Kassah Laouar and Khaled Zennir and Amar Guesmia},
journal= {arXiv preprint arXiv:1810.01409},
year = {2018}
}