<p>In this paper, we consider a more general version of the nonlocal thermistor problem which describes the temperature diffusion produced when an electric current passes through a material. We investigate the model where a nonlocal term is present on the right-hand side of the equation that describes the temperature evolution. To be precise, we employ the weak convergence of a particular truncation to establish the existence of a renormalized solution.</p>

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Renormalized solutions for a triply nonlinear Nonlocal thermistor problem with \(L^1\) data

  • Ibrahim Dahi,
  • Moulay Rchid Sidi Ammi

摘要

In this paper, we consider a more general version of the nonlocal thermistor problem which describes the temperature diffusion produced when an electric current passes through a material. We investigate the model where a nonlocal term is present on the right-hand side of the equation that describes the temperature evolution. To be precise, we employ the weak convergence of a particular truncation to establish the existence of a renormalized solution.