具有阻尼项的粘弹性波动方程解的高能爆破

Abstract

Abstract:

This paper studies the finite time blow up of solutions for a initial boundary value problem of a viscoelastic wave equation with the strong damping term and linear weak damping term at high initial energy level. By using the concavity method, we obtain some new sufficient conditions on initial data such that the solution with arbitrarily positive initial energy blows up in finite time.

Key words: wave equation, high initial energy, finite time blow up, viscoelastic term

CLC Number:

O175

Li Qian, Xing Yanyuan. Finite Time Blow up of Solutions for Nonlinear Wave Equation with the Damping Term at Arbitrarily Positive Initial Energy[J].Acta mathematica scientia,Series A, 2025, 45(3): 748-755.

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Finite Time Blow up of Solutions for Nonlinear Wave Equation with the Damping Term at Arbitrarily Positive Initial Energy

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