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<p>In this paper, we investigate a system of coupled nonlinear wave equations with fractional damping and logarithmic source terms in a bounded domain. First, we establish the local existence and uniqueness of solutions. Then, we prove that these solutions undergo blow-up in finite time. Finally, we validate the theoretical predictions by performing numerical simulations using the finite difference method. The numerical results confirm the theoretical findings, which show that the solutions exhibit blow-up behavior under certain initial conditions and parameters.</p>

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Blow-up for coupled nonlinear wave equations with fractional damping and logarithmic source terms

  • 期刊论文

  • 发表日期：

    2025年8月8日

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  • Saleh Fahad Aljurbua,
  • Ahmed Bchatnia,
  • Abderrahmane Beniani,
  • Abdelhadi Safsaf

摘要

In this paper, we investigate a system of coupled nonlinear wave equations with fractional damping and logarithmic source terms in a bounded domain. First, we establish the local existence and uniqueness of solutions. Then, we prove that these solutions undergo blow-up in finite time. Finally, we validate the theoretical predictions by performing numerical simulations using the finite difference method. The numerical results confirm the theoretical findings, which show that the solutions exhibit blow-up behavior under certain initial conditions and parameters.