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arXiv · 1810.01409

Blow up at finite time for wave equation in visco-elasticity: a new kind for one spatial variable Emden-Fowler type

Lakhdar Kassah Laouar·Khaled Zennir·Amar Guesmia
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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.

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Lakhdar Kassah Laouar, Khaled Zennir, Amar Guesmia. 2018-10-01. Blow up at finite time for wave equation in visco-elasticity: a new kind for one spatial variable Emden-Fowler type. https://arxiv.org/abs/1810.01409

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