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<p>We extend, on the one hand, our previous work [<CitationRef CitationID="CR6">6</CitationRef>] on nonlocal reaction-diffusion equations of gradient flow type to systems of two coupled equations and, on the other hand, our earlier work [<CitationRef CitationID="CR4">4</CitationRef>] on local two-component reaction-diffusion systems of gradient flow type to the nonlocal setting. We present an existence result, investigate stochastic homogenization and provide application to neural activity dynamics.</p>

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Stochastic homogenization of nonlocal reaction-diffusion systems of gradient flow type

  • 期刊论文

  • 发表日期：

    2026年3月10日

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  • Omar Anza Hafsa,
  • Jean-Philippe Mandallena,
  • Gérard Michaille,
  • Fabricio Pereira

摘要

We extend, on the one hand, our previous work [6] on nonlocal reaction-diffusion equations of gradient flow type to systems of two coupled equations and, on the other hand, our earlier work [4] on local two-component reaction-diffusion systems of gradient flow type to the nonlocal setting. We present an existence result, investigate stochastic homogenization and provide application to neural activity dynamics.