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Abstract <p> We consider the Lavrentiev–Bitsadze equation in partially perforated domain. Under the assumption of stochastic geometry of the domain we derive the homogenized equation and prove the convergence of solutions of an original problem to the solution of the homogenized problem. </p> <p> <b> DOI</b> 10.1134/S1061920825600813 </p>

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Random Homogenization of Lavrentiev–Bitsadze Equation in Partially Perforated Domain

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • E.A. Akimova,
  • G.A. Chechkin

摘要

Abstract

We consider the Lavrentiev–Bitsadze equation in partially perforated domain. Under the assumption of stochastic geometry of the domain we derive the homogenized equation and prove the convergence of solutions of an original problem to the solution of the homogenized problem.

DOI 10.1134/S1061920825600813