The first objective of this paper is to prove the existence and uniqueness of global solutions for a Kirchhoff-type wave equation with nonlinear dissipation of the form Ku′′ + M(|A 1/2 u|2)Au + g(u′) = 0 under suitable assumptions on K, A, M(·), and g(·). Next, we derive decay estimates of the energy under some growth conditions on the nonlinear dissipation g. Lastly, numerical simulations in order to verify the analytical results are given.
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机译：本文的首要目的是证明非线性耗散形式为Ku''+ M（| A 1/2 u | <的Kirchhoff型波动方程整体解的存在性和唯一性sup> 2 ）Au + g（u'）= 0在关于K，A，M（·）和g（·）的适当假设下。接下来，我们在非线性耗散g的某些增长条件下得出能量的衰减估计。最后，给出数值模拟以验证分析结果。
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