A BLOW-UP RESULT FOR A SYSTEM OF COUPLED VISCOELASTIC EQUATIONS WITH ARBITRARY POSITIVE INITIAL ENERGY

A blow-up result for a system of coupled viscoelastic equations with arbitrary positive initial energy

A blow-up result for a system of coupled viscoelastic equations with arbitrary positive initial energy

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Abstract This article is devoted to a study of the blow-up result for a system of coupled viscoelastic wave equations.By establishing a new auxiliary Dryer Corner Cover function and using the reduction to absurdity method, we obtain some sufficient conditions on initial data Plush Baby such that the solution blows up in finite time at arbitrarily high initial energy.This work generalizes and improves earlier results in the literature.

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