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arXiv:1810.01409 [math.AP]AbstractReferencesReviewsResources

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

Published 2018-10-01Version 1

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.

Categories: math.AP, math-ph, math.MP
Subjects: 35B44, 35D30, 35L05
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